If y = xy + x2 + 1, then when x=-1,
dy/dx
If y = xy + x² + 1, then when x=-1,
dy/dx = -1/2
What is Derivatives?The rate of change of a function with respect to a variable are called Derivatives.
Given that, y = xy + x² + 1
Put x = -1 we get,
y = -1y + (-1)² + 1
y = -y + 1 + 1
y = 1
Now Differentiating the given equation w.r.t x
dy/dx = xdy/dx + y + 2x
dy/dx - xdy/dx = y + 2x
dy/dx (1 - x) = y + 2x
dy/dx = (y + 2x)/(1 - x)
Put x = -1 and y = 1 we get
dy/dx = (1 + 2(-1))/(1 - (-1))
dy/dx = -1/2
Hence, y = xy + x² + 1, then when x=-1,
dy/dx = -1/2
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The sum of 3 consecutive numbers is 41 less than five times the largest number. Find the largest number
Fine the volume of the prism 5m 3m 3m
Answer:
45
Step-by-step explanation:
To find the volume of an object, we just have to multiply all of the side lengths together.
[tex]5*3*3=45[/tex]
[tex]V=45[/tex]
5 (3) 3 m (m) m = m cubed
15 (3)
45
45m³expand and simplify the following[tex](\sqrt{6} +\sqrt{3})(\sqrt{6}-\sqrt{3}) \\(\sqrt{5} -\sqrt{2} )(\sqrt{2} +\sqrt{5} )[/tex]
Answer:
30 - 6{sqrt15}
Step-by-step explanation:
what is 999999999/900
Answer:
1111111.11 is the answer.....
Given the relation {(2, 3), (-2, 2), (1, 5), (0, -1)}, state the range!
A. {-1, 2, 3, 5}
B. {-2, 2, 0, 1}
C. {-2, 2, 5}
D. {-2, -1, 0, 1}
Determine the domain and range of the given function:
y = –x4 + 4
This is just a garden-variety polynomial. There are no denominators (so no division-by-zero problems) and no radicals (so no square-root-of-a-negative problems). There are no problems with a polynomial. There are no values that I can't plug in for x. When I have a polynomial, the answer for the domain is always:
the domain is "all x".
The range will vary from polynomial to polynomial, and they probably won't even ask, but when they do, I look at the picture:
graph
The graph goes only as high as y = 4, but it will go as low as I like. Then:
The range is "all y ≤ 4".
The volume of a cube of ice for an ice sculpture is 64000
no question to answer
Step-by-step explanation:
What is the value of the expression 3a+b2 when a=14 and b=32 ?
−38
98
92
I don't know.
Answer:
106
Explanation:
3a+b2
Substitute the values for the variables:
3(14) + 2(32)
Solve:
3(14) + 2(32)
42 + 64
106
9/8 trust me +_+ X_X C_C V_V N_N
Emily has a piggy bank that contains 30 coins in dimes and nickels. Their combined value is $2.10. How many coins of each kind are there?
Answer:
Step-by-step explanation:
Though we can divide this second equation by five and combine, let's multiply the first equation by five and subtract it from the second...
10d + 5n = 210
-(5d + 5n = 150)
and we get
5d = 60
d = 12 dimes
n = 30-12 = 18 nickels
Graph the line that passes through the two points.(1, 5/2), (−1/2,−1/4)
Answer:
To find the slope of a line, simply use the slope formula [(y2-y2)/(x2-x1)].
To find the y-intercept, simply plug in point values to solve for b.
The line that passes through the two points (1, 5/2) and (-1/2,-1/4) is y=1.8x+0.7.
The given coordinate points are (1, 5/2) and (-1/2,-1/4).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
Substitute (x1, y1)=(1, 5/2)=(1, 2.5) and (x2, y2)=(-1/2, -1/4)=(-0.5, -0.25) in slope formula, we get
Slope =(-0.25-2.5)/(-0.5-1)
= -2.75/(-1.5)
= 1.8
Put m=1.8 and (x, y)=(1, 2.5) in y=mx+c, we get
2.5=1.8×1+c
c=0.7
So, equation is y=1.8x+0.7
Hence, the line that passes through the two points (1, 5/2) and (-1/2,-1/4) is y=1.8x+0.7.
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3/4 + x = 2x — x + ?
Answer:
3/4
Step-by-step explanation:
please mark me as brainlest
What is the value of x in the figure? In this diagram
Answer: E, and F
Step-by-step explanation:
Quick question: would the state of matter also be considered a subscript or not?
MARKING BRAINLEIST IF YOUR ANSWER IS RIGHT!!
AB=4cm BC =5cm CD =8cm .Calculate the area of rectangle BCDE
Step-by-step explanation:
1.2
area of triangle = ½ × base × height
so,
height = 5cm
base = 4cm
now,
→ 1/2 × 4 × 5
→ 2 × 5 = 10 cm²
therefore, area of the ∆AED is 10cm².
1.3
area of rectangle = l × b
length = 8cm
breadth/width = 5cm
now,
area of BCDE
→ 8 × 5 = 40 cm²
now,
area of,
→ ABCD = BCDE - ∆AED
→ ABCD = 40 - 10 = 30
therefore, required area of ABCD is 30cm².
hope this answer helps you dear...take care and may u have a great day ahead!
2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k
Answer:
k = 4
Step-by-step explanation:
if f(x) is divided by (x - h) then f(h) is the remainder
f(x) = 2x³ - 3x² + kx - 1
divided by (x - 1) , so h = 1 , then
2(1)³ - 3(1)² + k(1) - 1 = 2
2 - 3 + k - 1 = 2
- 2 + k = 2 ( add 2 to both sides )
k = 4
how does the number line below represent the product of a positive number and a negative number? drag words and numbers to explain. each tile may be used once, more than once, or not at all
Answer: -1.5, negative, negative
Step-by-step explanation:
The first box: -1.5
The second box: negative
The third box: negative
Which of the following shows the translation of K(3, 2) two units down?
D = -38t + 220
Rachel is driving a race car at a constant speed on a closed course. The formula shown above describes the remaining distance, D, measured in meters, that Rachel has to travel after t seconds. What is Rachel's speed in meters per second?
Answer: 38 meters per second
Step-by-step explanation:
Rachel's speed is 38 m/s.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
D = -38t + 220
So, t = 1
D = -38t + 220
D = -38(1) + 220
D = -38+ 200
D = 182 m
So, v = [tex](D_0 - D_1)[/tex] / t
v = ( 220- 182) /1
v = 38 m/s
Hence, Rachel's speed is 38 m/s.
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8 divided by negative 2 times 4 to the 2 power + 9
Answer:
-55
Step-by-step explanation:
which table represents the graph below
Answer: what table and what graph?
Step-by-step explanation:
A girl buys a monthly bus pass, which entitles her to unlimited bus travel, for $40 per month. Without the pass each bus ride costs $1.60. How many rides per month would she have to take so that the cost of the rides without the bus pass is equal to the total cost of the rides with the bus pass?
The number of rides at which the unlimited ride pass equals the cost of individual ride purchases is ?.
Answer: 25 Rides
Step-by-step explanation:
Forty (cost of pass per month) divided by 1.60 (Cost of rides) = 25 rides until the cost of the rides equals the price of the pass.
Help me I’ll give you five stars
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Note the bar above 1 means 1 is repeating , that is
0.111..
We require 2 equations with the repeating digit placed after the decimal point
let x = 0.111.... (1) Multiply both sides by 10
10x = 1.111... (2)
Subtract (1) from (2) thus eliminating the repeating digit
9x = 1 ( divide both sides by 9 )
x = [tex]\frac{1}{9}[/tex]
Answer:
that was the great answer its 1/10
What is (0,5) and (2,14) in slope intercept form
Answer:
y = 9/2x + 5
Step-by-step explanation:
ok first find the slope with equation (x2 - x1 over y2 - y1)
14 - 5 = 9/
2 - 0 2
so 9/2 is your slope so now pick one of the points (let's do 0, 5) and plug that into the slope intercept form (y = mx+b)
5 = 9/2(0)+b
9/2 • 0 = 0 so b = 5
so the answer is y = 9/2x + 5. hope this helps!
HI, I NEED HELP WITH MATH KNOW ANY TUTORS?
Answer:
no but I may be able to help with the problem make a question with the problem and a bunch of people will help and 8 times out of ten they will go e an explanation
answer asap plsss ,
Answer:
4 3/8
Step-by-step explanation:
brainliest pls?
Answer:
C or the third one
Step-by-step explanation:
The graph of which inequality has its vertex at (2 1/2, 5)?
The correct answer to this is y>|2x-5|+5.
My question is where did the 2 1/2 come from in the vertex?
Answer:
77777
Step-by-step explanation:
In this case, the vertex is the lowest point of the V shaped curve.
The goal is to get the stuff inside the absolute value (the 2x-5) to be as small as possible, so we can get to the lowest point. In terms of absolute value, we want the 2x-5 to be equal to 0
This allows us to set up the equation below and solve for x.
2x-5 = 0
2x = 5
x = 5/2
x = (4+1)/2
x = 4/2 + 1/2
x = 2 + 1/2
x = 2 & 1/2
Let me know if this clears things up or not.
Yani buys 4 dozen flyers for $7.25. What is the cost for 12 dozen
The larger of two numbers is 5 more than the smaller. The smaller number plus the larger equals 100. Find the number.
Answer:
Smaller number-47.5
Larger number-52.5
Step-by-step explanation:
We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation
x+x+5=100
100-5=95
2x=95
95/2=47.5
x=47.5
The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5
Triangle abc is an isosceles triangle in which angle b = angle c and l and m are points on ab and ac respectively such that lm parallel to bc. If angle a = 50 degree find angle lmc
Answer:
∵ ABC is an isosceles triangle
∵ m∠b = m∠c
∴ m∠b and m∠c = 180 - m∠a/2
= 180 - 50/2
= 130 /2
= 65°
∵ ∠c and ∠AMI are corresponding angles
∵ m∠AMl = m∠c = 65° (1)
From (1)
∵ ∠AMC is striaght angle
∴ m∠IMC = 180 - m∠AMI
m∠IMC = 180 - 65
m∠IMC = 115°
Answer = 115°
Figure of your question in the attachment