Answer:
1.x=13/8-3y/8
2.x=11/3-2y/3
Step-by-step explanation:
The antiderivatives of many functions either cannot be expressed or cannot be expressed easily in closed form (that is, in terms of known functions). Consequently, rather than evaluate definite integrals of these functions directly, we resort to various techniques of _______________ integration to approximate their values.
The term which is to be filled in the sentence given in the question is numerical.
Given the antiderivatives of many ----------------- directly, we resort to various techniques of ________ integration to approximate their values.
We have to fill the blank in the sentence given with appropriate term.
Integration is a technique of finding a function from it's derivative.
Definite integral is the area under a curve between two limits. We have to find the answer by first putting upper limit and then lower limit. Then we have to subtract the answer from lower limit from the answer of upper limit.
In Indefinite integration we have not given any limits.
Numerical integration, a algorithm for calculating the numerical value of a definite integral.
Hence the term for the sentence is numerical integration.
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What is the intermediate step in the form (x+a)^2=b(x+a)
2 =b as a result of completing the square for the following equation?
x²-4x=45
The intermediate step of x² - 4x = 45 is (x- 2)² = 49
How to determine the intermediate step?The equation is given as:
x² - 4x = 45
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add 4 to both sides of x² - 4x = 45
x² - 4x + 4= 45 + 4
This gives
x² - 4x + 4= 49
Express as perfect square
(x- 2)² = 49
Hence, the intermediate step of x² - 4x = 45 is (x- 2)² = 49
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Find the principal which will yield simple interest of N55.60 for 1yr 6 months at the rate of 2%
There should be a point the line is going through, (1,2).
We have given that,
N55.60 for 1yr 6 months at the rate of 2%
We have to determine the principal which will yield simple interest of N55.60 for 1yr 6 months at the rate of 2%.
What is the simple interest?[tex]A = P (1 + rt)[/tex]
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
x = inches
y = miles
per 1 inch = 2 miles
so on the graph, there should be a point the line is going through, (1,2).
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ASAP WILL GIVE BRAINLIEST
Which do you prefer: leaving 5–√ in radical form, or converting it to a decimal? Why? When would it be useful to use each?
Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”
The preference is that ✓5 should be left in radical form as an irrational number.
What is radical form?It should be noted that a radical form is illustrated when n is a positive integer that is greater than 1.
Here, a rational number is a number that can be represented in the form of p/q where p and q are integers. In this case, ✓5 will nvwe give a perfect number in decimal form. Hence, it's better to leave it radical form.
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The total length of three fence panels is 5.4 m.
Work out the total length of ten fence panels.
Multiplication is the process of multiplying. The length of the 10 fence panels is 18 meters.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given the length of three fence panels is 5.4 meters.
The lenght of each length panel = 5.4m/3 = 1.8 meter
The length of 10 fence panel = 1.8 meter×10 = 18 meter
Hence, the length of the 10 fence panels is 18 meters.
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ΔXYZ was reflected to form ΔLMN.
Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees.
Which statements are true regarding the diagram? Check all that apply.
ΔXYZ ≅ ΔLMN
∠Y ≅ ∠M
∠X ≅ ∠L
∠Z ≅ ∠L
YZ ≅ ML
XZ ≅ LN
For the given figure , Option A , B ,C , F will be true.
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
It is given that
Triangle X Y Z is reflected to from triangle L M N.
The diagram is attached with the answer.
As the Triangle is reflected , The shape of the image doesn't change and also
From the diagram it can be concluded that
ΔXYZ ≅ ΔLMN
and as the triangles are Congruent , By CPCTC
∠Y ≅ ∠M
∠X ≅ ∠L
XZ ≅ LN
Therefore , Option A , B ,C , F are the options that are true for the given figure.
The missing figure is attached with the answer.
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Answer:
A B C F
Step-by-step explanation:
ΔXYZ ≅ ΔLMN
∠Y ≅ ∠M
∠X ≅ ∠L
XZ ≅ LN
HI I need help
10Points
Answer:
13 × 14 = 182 yd^2
............................
Which best describes the circumcenter of a triangle?
A. The point where the three medians of the triangle intersect
B.The point where the three angle bisectors of the triangle intersect
C.The point where the perpendicular bisectors of the three sides of the triangle intersect
D.The point where the three altitudes of the triangle intersect
Answer:
C. The point where the perpendicular bisectors of the three sides of the triangle intersect.
Step-by-step explanation:
A number of centers of a triangle are defined. The circumcenter is the center of the circumscribing circle. The incenter is the center of an inscribed circle. The centroid is the center of balance of a triangle of uniform mass density.
Center definitionsThe centers defined by descriptions A through D are ...
A. centroid -- coincident point of medians
B. incenter -- coincident point of angle bisectors
C. circumcenter -- coincident point of side perpendicular bisectors
D. orthocenter -- coincident point of altitudes
The first digit of a string of 2002 digits is a 1. Any two-digit number formed by consecutive digits within this string is divisible by 19 or 31. What is the largest possible last digit in this string
The largest possible last digit in the string of 2002 digits and number divisible by 19 or 31 is 9.
Given the first digit of a string of 2002 digits is 1 and the two digit number formed by consecutive digits within the string is divisible by 19 or 31.
We have to tell the last largest digit of such number.
Two digit numbers divisible by 19=19,38,57,76,95.
Two digit numbers divisible by 31=31,62,93,124
Number started with 1 =19
Last digit is 9
We have said that the number should be divisible by 19 or 31 not from both and started with 1.
Hence the largest possible last digit and number divisible by 19 or 31 in this string is 9.
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What is the slope of the line that contains the points (4, 3) and (2, 7)?
Hello,
Answer:
Slope = -2
Step-by-step explanation:
We have A(4 ; 3) and B(2 ; 7)
y = ax + b where a is the slope
[tex]a = \frac{yb - ya}{xb - xa } = \frac{7 - 3}{2 - 4} =\frac{4}{-2} =-2[/tex]
17. Compute each of the following. for some of these, there are two ways to compute the result. explain. (a) 3(2 + 3 + 5) (b) 1 3 (9 + 6−3) (c) (9+6−3)÷3 (d) 3(2 · 3 · 5) (e) 3÷(9+6−3)
The solution to the equation 3(2 + 3 + 5), 13(9 + 6 - 3), (9 + 6 - 3) ÷ 3, 3(2. 3. 5) and 3 ÷ (9 + 6 - 3) is 30, 156, 4, 90 and 1/4 respectively
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
a) 3(2 + 3 + 5)
= 3(10) = 30
b) 13(9 + 6 - 3)
= 13(12) = 156
c) (9 + 6 - 3) ÷ 3
= 12 ÷ 3 = 4
d) 3(2. 3. 5)
= 3(30) = 90
e) 3 ÷ (9 + 6 - 3) = 3 ÷ 12 = 1/4
The solution to the equation 3(2 + 3 + 5), 13(9 + 6 - 3), (9 + 6 - 3) ÷ 3, 3(2. 3. 5) and 3 ÷ (9 + 6 - 3) is 30, 156, 4, 90 and 1/4 respectively
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scores for a qualification exam are nromally distibuted, with a mean of 80 and a standard deviation of 10. to be qualfiied for an interview, you must score in the top 10%. what is the lowest score you can earn and still be qualified for an interview
Lowest score earned to be qualified for an interview is 92.82
X : Marks scored in interview
X ~ N(80,100)
Here we need to find x such that P(X > x) = 0.10
using standard normal table,
we get P( z > 1.282) = 0.10
It's always easy to use Standard normal distribution to solve questions of normal distribution because standard normal is special case of normal distribution with mean 0 and standard deviation 1.
To convert x (which follows Normal distribution) to standard normal use: [tex]\frac{x-\mu}{\sigma} \sim N(0,1)[/tex]
so, [tex]z = 1.282 = \frac{x-\mu}{\sigma}[/tex]
hence,
[tex]x = 1.282 * \sigma + \mu \\x = 1.282 * 10+_80 \\x = 92.82 \\[/tex]
Hence Lowest score earned to be qualified for an interview is 92.82
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3 quick algebra 1 questions for 50 points!
Only answer if you know the answer, tysm for the help!
#1
I solved it another question of yours
#2
f(x)=3x-11
f(4)
3(4)-1112-111#3
We can see the point (2,5)
So
w(2)=5The function's range will be between -9,7 and 40.
What distinguishes a domain from a range?The range represents all potential y values, whereas the domain represents all conceivable x values.
The provided equation is;
g(x) = x²-9
By entering the values one at a time into the previous equation, we can determine the range of the specified domain.
g(x) = x²-9
a)For x = 0
g(x) = 0²-9
g(x) =-9
b)For x =4
g(x) = 4²-9
g(x) =16-9
g(x) = 7
c)For x =7
g(x) = 7²-9
g(x) =49-9
g(x) = 40
Hence, the range of the function will be -9,7 and 40.
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Find the slant height x of the pyramid shown, to the nearest tenth.
6mm
7mm
7mm
Options:
A: 4.35
B: 9.2
C: 6.9
D: 3.
Answer:
C. 6.9
Step-by-step explanation:
Pretend this is a 2-d diagram and use the Pythagorean theorem.
Pythagorean theorem: a^2 + b^2 = c^2
a = 6 mm
b = 7/2 = 3.5 mm
c = x
6^2 + 3.5^2 = x^2
36 + 12.25 = x^2
48.25 = x^2
[tex]\sqrt{48.25} = \sqrt{x^2}[/tex]
x = 6.9
Order the steps to solve the equation
log(x2 − 15) = log(2x) form 1 to 5.
x2 − 2x − 15 = 0
correct answers
2
5
1
4
3
on edge 2022
Potential solutions are −3 and 5
x2 − 15 = 2x
x − 5 = 0 or x + 3 = 0
(x − 5)(x + 3) = 0
The order of steps to solve the equation are;
x^2 − 15 = 2x
(x − 5)(x + 3) = 0
x − 5 = 0 or x + 3 = 0
Potential solutions are −3 and 5
Logarithm functionsLogarithm expressions are inverse of an exponential function. Given the logarithm expression shown below:
log(x^2 − 15) = log(2x)
Cancel the log on both sides
x^2-15 = 2x
Equate to zero
x^2-2x-15 = 0
Factorize
x^2 -5x + 3x -15 = 0
x(x-5)+3(x-5) = 0
(x-5)(x+3) = 0
Find the solution
x - 5 = 0 or x + 3 = 0
Potential solution are 5 and -3
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A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.
f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).
The true statements about the function are:
f(x) ≤ 0 over the interval [0, 2].f(x)>0 over the interval (-2,0)f(x) ≥ 0 over the interval [2,∞)How to determine the true statement?The complete question is in the image
From the table, the function values do not exceed 0 at the interval 0 to 2.
This means that f(x) ≤ 0 over the interval [0, 2].
Also from the table, the function values exceeds 0 at the intervals greater than -2 but less than 0
This means that f(x)>0 over the interval (-2,0)
Also from the table, the function values are at least 0 at the intervals greater than 2
This means that f(x) ≥ 0 over the interval [2,∞)
Hence, the true statements are (b), (d) and (e)
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helllppppppppppp please
Answer:
1st is y = -7x-58, 2nd is -89.
Step-by-step explanation:
First, the slope intercept for is y = mx+b. M is the slope, b is the y intercept. You know the slope is -7, so then just plug in the point for x, y and you'll get b = -58 once you cancel everything out.
So y = -7x-58.
For 27. just plug in the values. -3^3 is -27 * 3 which is -81 and then -12 and add 4 and you get -89.
When the value of the population standard deviation is unknown, we estimate it with ________ to conduct inference about a population mean.
sample standard deviation.
the sample standard deviation is used to estimate σ in the confidence interval formula. The quantity 1.96σ/ √n is often called the margin of error for the estimate.
Standard deviation (or σ) is a measure of how much the data extends from the mean. A low standard deviation means that the data is gathered around the mean, and a high standard deviation means that the data is more distributed.
Standard deviation is important because it shows how the values are distributed in a particular dataset. Whenever I analyze a dataset, I am interested in finding the following metrics: The center of the dataset. The most common ways to measure the "intermediate" are mean and median. The root means square of the difference between the
observation and the sample mean is called the sample standard deviation. Two or more standard deviations from the mean are considered significant deviations.
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0.5(4x - 8) = 2x + 5
There is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."
To solve for the value of x in the equation 0.5(4x - 8) = 2x + 5, follow these steps:
Step 1: Distribute the 0.5 on the left side of the equation:
0.5 * 4x - 0.5 * 8 = 2x + 5
Simplify:
2x - 4 = 2x + 5
Step 2: To isolate the variable term "x" on one side of the equation, move the constant terms to the other side. In this case, subtract 2x from both sides:
2x - 2x - 4 = 2x - 2x + 5
Simplify:
-4 = 5
Step 3: The equation simplifies to -4 = 5, which is not true. This means that the equation has no solution, and there is no value of x that satisfies the equation.
Therefore, there is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."
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Complete question is:
Solve for the value of x: 0.5(4x - 8) = 2x + 5
Piko filled a box with 4 layers of cubes that measured one foot on each side. If the bottom of the box fit 6 cubes, what is the volume of the box?
The volume of the box is 216 ft cube.
How to find volume of a box?He filled a box with 4 layers of cubes that measured one foot on each side
The bottom of the box fit 6 cubes,
1 cube length = 1 ft.
Therefore,
volume of the box = 6³
Therefore,
volume of the box = 216 ft³
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The distance between earth and moon is 384000000 m. this distance can be expressed as ____m
This distance can be expressed as 3.84× [tex]10^{8}[/tex] m.
What is distance with example?
Distance is a scalar quantity. The distance of an object can be defined as the complete path travelled by an object.Given the distance between the earth and the moon is 384000km
Representing in exponential notation,
=384000×1000m [∵1km=1000m]
=384× [tex]10^{6}[/tex] m
=3.84× [tex]10^{8}[/tex] m
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The correct question is -
The distance between the Earth and the moon is approximately 384000 km. this distance can be expressed as ____m.
help please!!
asap no wrong answers
will give the crown symbol
Answer:
4Hz
Step-by-step explanation:
Standard form of a sine or cosine function,
y = acos(b(x+c))
where a is the amplitude, b is the value to find the period. and c is the phase shift.
Period = \frac{2\pi}{b}
From the equation given in the question,
[tex]y = 3cos(8\pi \: t + \frac{\pi}{2} ) \\ y = 3cos(8\pi(t + \frac{1}{16} )) \: \: (factorising \: 8\pi \: out)[/tex]
We can see:
Amplitude = 3,
Period = \frac{2\pi}{8\pi} = 1 / 4
Phase Shift = 1 / 16
Now we want to find the frequency.
Frequency = 1 / Period
= 1 / (1/4)
= 4Hz
Answer:
[tex]\displaystyle 4[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Acos(Bx - C) + D[/tex]
When working with a trigonometric equation like this, always remember the information below:
[tex]\displaystyle Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]
So, the first procedure is to find the period of this graph, and when calculated, you should arrive at this:
[tex]\displaystyle \boxed{\frac{1}{4}} = \frac{2}{8\pi}\pi[/tex]
You will then plug this into the frequency formula, [tex]\displaystyle T^{-1} = F.[/tex] Look below:
[tex]\displaystyle \frac{1}{4}^{-1} = F \\ \\ \boxed{4 = F}[/tex]
Therefore, the frequency of motion is four hertz.
I am delighted to assist you at any time.
Solve the system of equations. 5x y = 9 3x 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
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help me i dont understand this U_U
A graph which represents a reciprocal relationship to the given graph would slope downward, which is in an opposite direction.
What is a reciprocal function?A reciprocal function can be defined as a type of function which comprises an algebraic expression in its denominator and a constant on its numerator such as: f(x) = 2/x.
In Mathematics, a reciprocal function is used when describing relationships that are inversely proportional to one other such as:
Time and speed.Stress and elasticity.As a general rule in Geometry, we can infer and logically deduce that a graph which represents a reciprocal relationship to the given graph would slope downward, which is in an opposite direction.
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Algebra 1 A Adaptive CR (JL22) 1/Tools Of The Trade
2. Simplify and write in exponential form. (4³)(3) = ?
O
O (4³) (¹)
521
The simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]
How to simplify the expression?The expression is given as:
[tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex]
Expressions raise to power 0 is 1.
So, we have:
[tex](4^3)(\frac{4^4x^4}{3^2x^2y^2})[/tex]
Apply the law of indices to expression with common base
[tex](\frac{4^{4+3}x^{4-2}}{3^2y^2})[/tex]
Evaluate the sum and difference
[tex](\frac{4^7x^2}{3^2y^2})[/tex]
Remove the bracket
[tex]\frac{4^7x^2}{3^2y^2}[/tex]
Hence, the simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]
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Suppose that 15% of the population of a country are unemployed women, and a total of 25% are unemployed. What percent of the unemployed are women
The percentage of unemployed women from the total percentage of unemployed is 60%
PercentagePercentage of unemployed women = 15%Total percentage of unemployed = 25%Percentage of the unemployed women from the total unemployed = 15% / 25% × 100
= 0.60 × 100
= 60%
Therefore, the percentage of unemployed women from the total percentage of unemployed is 60%
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I literally have no idea how to do this someone help im dying
What is the solution to f(x) = g(x) if f(x) = 2x+24 and g(x) = 5(0.5)^x
We can solve this graphically, we will see that f(x) = g(x) when x = -2, so the solution is x = -2.
How to solve the system of equations?
We want to solve the system:
f(x) = g(x)
Where:
[tex]f(x) = 2x + 24\\\\g(x) = 5*(0.5)^x[/tex]
Replacing the functions, we get:
[tex]2x + 24 = 5*(0.5)^x[/tex]
Notice that on the left side x is a coefficient, while on the right side, it is an exponent, so this is really hard to solve with algebra.
But what we can do, is graph both functions, and see for which value of x the graphs do intersect.
Below you can see the graphs, the green one is f(x), the blue one is g(x).
There you can see that the graphs intersect at x = -2
This means that f(x) = g(x) only for x = -2.
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What are the variables in this expression? f + 2 g + startfraction h over 4 endfraction minus 7 f and g only g and h only f, g, and negative 7 only f, g, and h only
The correct answer is f, g, and h only.
What is variable ?
In Math, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.Given,
expression f + 2g + h/4 - 7
So, in this expression g, f and h are variables.
We can see that in our given expression g, f and h are unknown, therefore, these are variables for our given expression.
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The correct question is -
What are the variables in this expression?
f + 2g + h/4 - 7
A) f and g only
B) g and h only
C) f, g, and -7 only
D) f, g, and h only
Consider (cosine (startfraction pi over 2 endfraction) = i sine (startfraction pi over 2 endfraction) ) and z = 3 (cosine (startfraction 3 pi over 2 endfraction) = i sine (startfraction 3 pi over 2 endfraction) ).. what is w z expressed in polar form?
Sum of given complex numbers in polar form cos(pi/2) + i.sin(pi/2)
Complex number:
"The number of the type a + ib is called as complex number, where a, b are real numbers and [tex]i= \sqrt{-1}[/tex]
What is polar form of the complex number?
"The polar form of a complex number z = x + iy
For given question,
The sum of given complex numbers would be w+z = 4cos(pi/2 + i sin(pi/2)+ 3 cos (3pi/2) + i sin(pi/2)
We know that:
cos(pi/2)= 0
sin(pi/2)=1
cos(3pi/2)=0
So, the sum of given complex numbers would be w+z:
=> 4cos(pi/2 + i sin(pi/2)+ 3 cos (3pi/2) + i sin(pi/2)
=> 4i + 3(-i)
= i
= 0+i
Therefore, the sum of given complex numbers in polar form as:
cos(pi/2) + i.sin(pi/2)
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Answer: B
Step-by-step explanation: on edge
the question is on the image