use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3

Answer:

The answer is g(x) = |x - 3|

Step-by-step explanation:

Here we have a general problem of horizontal translations, we will see that the correct option is g(x) = |x - 3|

We know that the bucket was leaking for 6 hours, and then it was filled in 3 hours.

Then in the interval [-6, 0) the bucket was leaking

In the interval [0, 3] the bucket was being filled.

Now we want a transformation that represents the last 3 hours of leaking.

Also, remember that for a general function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the translation is to the left

If N is negative, the translation is to the right.

If we want to represent the last 3 hours of leaking (which happen for negative values of x) then we need to move the whole graph to the right.

So, if we define the function as:

g(x) = f(x - 3)

when we evaluate g(x) in zero we get:

g(0) = f(-3)

So this new function, at the time zero, starts representing the last 3 hours of leaking of the bucket.

Remembering that f(x) = |x|

We can see that the correct option is:

g(x) = f(x - 3) = |x - 3|

g(x) = |x - 3|

Below you can see a graph with a comparison of f(x) and g(x), where the green one is f(x) and the blue one g(x).

If you want to learn more, you can read:

https://brainly.com/question/13435754

Answer:

b

Step-by-step explanation:

x is the number each person will get

b is the only possible answer

Answer:

x=3/8

Step-by-step explanation:

2*x=3/4

x=3/4*2

x=3/8

Answer:

9

Step-by-step explanation:

Answer:

The answer is either a or c .

Step-by-step explanation:

Answer:

c yw

Step-by-step explanation:

Answer:

y= - 7

Step-by-step explanation:

4y-2+2y= -44

6y-2= -44

6y= -44+2

6y= -42

y= -7

Answer:

y=-7

Step-by-step explanation:

4y-2+2y=-44

6y-2=-44

6y=-44+2

6y=-42

7=-7

Answer: i) 512,000 cm³      ii) 512,000 cc        iii) 512 litres

Step-by-step explanation:

Volume (V) of a cube is side (s) cubed:    V = s³

Given: s = 80 cm

i) V = (80 cm)³

      = 512,000 cm³

ii) 512,000 cm³ = 512,000 cc

iii) 512,000 cm³ × 1 liter/1000 cm³ = 512 liters

Answer:

4

Step-by-step explanation: 3 x 4 = 12.

                                             12 - 8 = 4.

Answer:

I got 3.888 because when 4×2=8 and 2×2=4 and 3×2=6 so for my first row of numbers was 648 under 0 I put a 0 then multiplied 3.24 by 1 then added 648+3240=3.888

Answer:

Step-by-step explanation:

If you can't use a calculator break it apart.

1 X 3.24 is 3.24

Now take .2 x 3.24   this is easy, just remember to move the decimal in the answer one more to the left.

  3.24

x      .2

 .684        moved the decimal one more spot

Now we take 3.24 + .684

   3.24

+    .648

   3.888

Answer:

12

Step-by-step explanation:

3 quarts is 6 pints

6 pints is 12 cups

if there is 4 cups in a quart then 4x3=12

Answer:

-19

Step-by-step explanation:

2 (c + 3) = c - 13

2c + 6 = c - 13

2c + 19 = c

19 = - c

c = - 19

Answer: All rational numbers are real numbers

Real numbers are those which can be represented on a real number line

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

All rational numbers will be real numbers.

Option A is the correct answer.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

Example:

2 = 2/1 is a rational number.

1/2, 3/4, 5/6 are rational numbers.

We have,

________ rational numbers are real numbers.

We have to select from the options and fill in the blanks.

- ALL

- SOME

- NO

Real numbers can be any type of number except an imaginary number denoted by i = √-1.

So,

All rational numbers will be real numbers.

Thus,

All rational numbers will be real numbers.

Option A is the correct answer.

Learn more about rational numbers here:

https://brainly.com/question/24398433

#SPJ2

Let's make a proportion to solve this problem.

[tex]\frac{9}{54}=\frac{4}{x}[/tex]

[tex]9x=216[/tex]

[tex]x=24[/tex]

4 tickets cost $24

Hope this helps.

頑張って!

Answer:

13i, -13i

Step-by-step explanation:

To solve this equation, we need to take the square root of both sides. The square root of 169 can be either 13 or -13, but this time, they asked for -169. Whenever we take the square root of a negative number, we put the letter i, which stands for imaginary. It is never capitalized, so we remove the negative sign from -169, and take the square root of that. We get -13 and 13 as our answers, and we multiply both numbers by i to get -13i and 13i. Any solutions with i in it are considered complex solutions

Answer:

26 units

Step-by-step explanation:

(-8, -10) and (18, -10)

Since the y values are the same, we only need to worry about the x values

18 - -8

18+8

26

The distance is 26 units

Answer:

8

Step-by-step explanation:

Answers: A, B, C

These three deal with numeric values, so that is why they are quantitative variables. Think quantitative as quantity to help remember.

In contrast, choice D is a qualitative variable. Instead of dealing with numbers, it deals with symbols or labels. You could also call this a categorical variable (each label being its own category).

Answer:

Expected temperature = - 58°C

Step-by-step explanation:

Given:

Current temperature = 12°C

Drop in temperature = 70°C

Find:

Expected temperature

Computation:

Expected temperature = Current temperature - Drop in temperature

Expected temperature = 12°C - 70°C

Expected temperature = - 58°C

Answer:

f(-1) = 1

Step-by-step explanation

[tex]f(-1)= 2(-1)^{2} + 3\\f(-1) = -2 + 3\\f(-1) = 1[/tex]

Answer:

2 cuadrante

Step-by-step explanation:

Answer:

9.4

Step-by-step explanation:

The distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)

d=√((8-0)²+(0-5)²)

d=√((8²)+(-5²))

d=√(64+25)

d=√(89)

d=9.433981

d=9.4

Hope this helps :-)

Answer: 9.4 units

Step-by-step explanation:

Answer:

Divide the previous value by 5

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

If 42 people equally share the bus price off 788 dollars then ech person would be expected to pay 788/42 = $18.76 (2dp) though I suppose if you needed to estimate it, you would round 788 to 800 and 42 down to 40 which would give you 800/40 = 20 dollars per person which is a pretty close estimate.

Hope this helped!

Answer:

0.703

Step-by-step explanation:

19/70 = 70.37/100

Hope This Helps :)

Answer:

0.7037

Step-by-step explanation:

0.7037 is a decimal and 70.37/100 or 70.37% is the percentage for 19/27.

Answer:

Option C.  y = ( c + b ) / a

Step-by-step explanation:

For this problem, we must simply isolate the y variable from the unknowns a, b, and c.

ay - b = c

ay - b + b = c + b

ay = c + b

ay * ( 1 / a ) = ( c + b ) * ( 1 / a)

y = ( c + b ) * ( 1 / a )

y = ( c + b ) / a

Thus, we will want to choose option C.

Cheers.

Answer:

Step-by-step explanation:

[tex]1\frac{1}{2} \:cups \:of\:milk\\2.25\:cups \:of\:flour\\1\frac{1}{4} \:cups\:of\:other\:ingredients\\\\Total = 1\frac{1}{2} + 2.25 + 1\frac{1}{4} \\= 5\:cups\\\\1\:dozen = 5\:cups\\3 \:dozen(36\:cookies) = x \:cups\\\\Cross\:multiply\\\\x = 5\times 3\\x = 15 \:cups[/tex]

Answer:

sine and cosec are inverse of each other.

cosine and sec are inverse of each other.

tan and cot are inverse of each other.

Step-by-step explanation:

Given point on terminal side of an angle ([tex]\frac{1}{3},\frac{1}4[/tex]).

Kindly refer to the attached image for the diagram of the given point.

Let it be point A([tex]\frac{1}{3},\frac{1}4[/tex])

Let O be the origin i.e. (0,0)

Point B will be ([tex]\frac{1}{3},0[/tex])

Now, let us consider the right angled triangle [tex]\triangle OBA[/tex]:

Sides:

[tex]Base, OB = \frac{1}{3}\\Perpendicular, AB = \frac{1}{4}[/tex]

Using Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OA^{2} = OB^{2} + AB^{2}\\\Rightarrow OA^{2} = \frac{1}{3}^{2} + \frac{1}{4}^{2}\\\Rightarrow OA = \sqrt{\frac{1}{3}^{2} + \frac{1}{4}^{2}}\\\Rightarrow OA = \sqrt{\frac{4^2+3^2}{3^{2}.4^2 }}\\\Rightarrow OA = \frac{5}{12}[/tex]

[tex]sin \angle AOB = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\Rightarrow sin \angle AOB = \dfrac{\frac{1}{4}}{\frac{5}{12}}\\\Rightarrow sin \angle AOB = \dfrac{3}{5}[/tex]

[tex]cos\angle AOB = \dfrac{Base}{Hypotenuse}[/tex]

[tex]\Rightarrow cos \angle AOB = \dfrac{\frac{1}{3}}{\frac{5}{12}}\\\Rightarrow cos\angle AOB = \dfrac{4}{5}[/tex]

[tex]tan\angle AOB = \dfrac{Perpendicular}{Base}[/tex]

[tex]\Rightarrow tan\angle AOB = \dfrac{3}{4}[/tex]

[tex]cosec \angle AOB = \dfrac{Hypotenuse}{Perpendicular}[/tex]

[tex]\Rightarrow cosec\angle AOB = \dfrac{5}{3}[/tex]

[tex]sec\angle AOB = \dfrac{Hypotenuse}{Base}[/tex]

[tex]\Rightarrow sec\angle AOB = \dfrac{5}{4}[/tex]

[tex]cot\angle AOB = \dfrac{Base}{Perpendicular}[/tex]

[tex]\Rightarrow cot\angle AOB = \dfrac{4}{3}[/tex]

Answer:

the 8 and 14 would be the coefficients

Step-by-step explanation:

coefficients are the numbers only next to the variables( like x or y) so since 8 and 14 are next to the variables they are the coefficients

Answer:

well how many cards does kal have?? thats the main key to solving the question.