All categories

3 years ago

If f is continuous and (integral of f(x)dx from 0 to 4 is = 10), find the integral of (f(2x))dx from 0 to 2.

1 answer:

7 0

The problem ask to calculate the integral of (f(2x)) dx from 0 to 2 a. Base on my calculation and further computation, I came with a solution that leads to an answer of (f(2x))dx = 5. I hope you are satisfied with my answer and feel free to ask for more if you have clarification and further question.

You might be interested in

Is this answer right??

nirvana33 [79]

yes, its correct.

(to be absoletely sure, look it up on google. but ik enough about this lesson to know its correct)

4 0

3 years ago

Read 2 more answers

Suppose f(x)= x^2 fins the graph of f(x-1)

Gennadij [26K]

F(x)=x2,

g(x)=f(3x)=(3x)2=9x2

Now to graph y=9x2. This is a parabola (U-shape), vertex at (0, 0), symmetric aroung y axis. When x=1/3 or -1/3, then y=1.

So, try to draw the graph.

8 0

3 years ago

Each point has been reflected over the x-axis or y-axis.

Amanda [17]

The reflection is

x-axis
x-axis
y-axis

<h3>What is reflection over axis?</h3>

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

For reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

and, for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y value the same.

So, by considering the above value rules the reflection of the given points as follows over respective axis.

E(7, 1) ⇒ (7, -1)

Here, the reflection is over x-axis because the y value is changing

F(-3, 5) ⇒ (-3, -5)

Here, the reflection is over x-axis because the y value is changing

G(6, -2) ⇒ (-6, -2)

Here, the reflection is over y-axis because the x value is changing.

Learn more about this concept here:

brainly.com/question/15175017

#SPJ1

4 0

2 years ago

Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)

mars1129 [50]

Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

Such that these 3 decimals are repeated as:

0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

5 0

3 years ago

George’s age is three times that of his brother. When you add George’s age to his brother’s, you get 24. How old is each brother

vivado [14]

Answer:

G=18

Step-by-step explanation:

George-G

1/3G+G=24

4/3G=24

3/4*4/3G=24*3/4

G=18

George will be 18 years old there we can find his brothers age by dividing it by three thus 18/3=6

5 0

3 years ago

Read 2 more answers