Need help on this pls

How do i find the area between the two curves

viktelen [127]

A=22/10

A=integral(a,b) [f(x)-g(x)]dx

Since the function is even (the function is mirrored over the y axis) we can evaluate the integral from 0 to 1 and then multiply our answer by 2 since we have the same area on each side of the y axis.

We get A=2*int.(0, 1)[(x^2)-(-2x^4)]dx

Now we can integrate by term.

2*[int.(0, 1)[x^2]dx+int(0, 1)[2x^4]dx]

Now factor out constants.

2*[int(0,1)[x^2]dx+2int(0,1)[x^4]dx]

Now integrate.

2*[(x^3/3)|(0,1) + 2*(x^5/5)|(0,1)]

Now solve.

2*[(1/3)+2*(1/5)]

=22/10

Hope you can decipher what I wrote!

4 0

2 years ago

One lap around a parking lot is 3/10 mile.this represents 15% of the total distance Gregory ran.what is the total distance in mi

sattari [20]

Given:

One lap around a parking lot = 3/10 mile
3/10 mile is 15% of the total distance Gregory ran.

To determine the total distance (in mile) that Gregory ran, we refer to the given percentage:

3/10 mile / 0.15 = 2 miles

The total distance that Gregory ran is 2 miles. <span />

4 0

2 years ago

3 pounds cost $15. How many pounds can you buy for $45?

morpeh [17]

Answer:

you can buy 9 poundssss

6 0

2 years ago

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Complete the solution of the equation find the value of Y when X equals -8.<br><br> 4x+9y=-14

lukranit [14]

Answer:

$\large\boxed{y=2}$

Step-by-step explanation:

In this question, we're going to solve the equation.

What we would do is plug in the given information in the right variable. In this case, we would plugin -8 to x, since x = -8

We are solving for y, so we would nee to find how much y = ?

Your equation should look like this:

$4(-8)+9y=-14$

Lets solve:

$4(-8)+9y=-14\\\\\text{Multiply}\, 4(-8)\\\\-32+9y=-14\\\\\text{Add 32 to both sides}\\\\9y=18\\\\\text{Divide}\\\\y=2$

When you're done solving, you should get y = 2

This means that y = 2

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

4 0

2 years ago

A hot-air balloon is moving on a bearing of 2450 at 31mph. A wind is blowing with the bearing of 2600 at 23mph. Find the compone

Alborosie

Answer:

$V=(54i) \ mph$

Step-by-step explanation:

According to the problem, the hot-air ballon and the wind are movind in the same direction, which means the component form of the velocity of the ballon is the net vector between both velocities.

Basically, the net velocity is

$v_{net}=31 + 23 = 54 mph$

Because both velocities have the same direction.

Assuming they are moving in a horizontal direction, the component of this velocity is

$V=(54i) \ mph$

4 0

3 years ago

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