I really need help with this question

Use limits to find the area of the region bounded by the graph f(x)=4-2x^3 , the x-axis , and the vertical lines x=0 and x=1

gtnhenbr [62]

Answer:

$\frac{7}{2}$ square units.

Step-by-step explanation:

We have to use limits to find the area of the region bounded by the graph $f(x) = 4 - 2x^{3}$ , the x-axis, and the vertical lines x=0 and x=1.

So, the area will be

A = $\int\limits^1_0 {(4 - 2x^{3})} \, dx$

= $[4x - \frac{x^{4}}{2} ]^{1} _{0}$

= $4 - \frac{1}{2}$

= $\frac{7}{2}$ square units. (Answer)

3 0

4 years ago

Judy uses 8.8 pinta of white paint and blue paint to paint her bedroom walls. 3/4 of this out is white paint, and the rest is bl

madam [21]

Answer:

Use slader if slader doesnt have it use this they r both great apps and i use them both but if nobody respomds with an answer i use slader.

Step-by-step explanation:

Good luck

8 0

3 years ago

How can i tell if it's discrete or continuous?

liberstina [14]

If it is continuous you will see a straight line if it is discrete then you will not see a straight line it will be zigzag or something like that<span />

6 0

4 years ago

If you see this please help if you know the answer or how to do it ONLYYYYYY

Arisa [49]

<h2>Answer:</h2>

For ∠1: Because all angles inside a triangle equal 180°, set ∠2, 68, and ∠1 equal to 180, then solve for ∠1.

$x + 68 + 49 = 180\\\\x + 68 = 131\\\\x = 63$

∠1 = 63°

For ∠3: Subtract 93 from 180 to get ∠3

$x + 93 = 180\\\\x = 87$

∠3 = 87°

For ∠4: Because all angles inside a triangle equal 180°, set ∠3, 49, and ∠4 equal to 180, then solve for ∠4.

∠4 = 44°

∠2 = 49°

6 0

3 years ago

To prepare for the town's race, Andrew runs around a rectangular field. The dimensions of the field are 450 feet

Ket [755]

Answer:

46.9 times

Step-by-step explanation:

First, we can calculate how many feet it takes to run around the field. To find the perimeter of a rectangle, we can use the formula

2* length + 2 * width. With the length being 450 and the width being 225 here, we can say that

2*450 + 2 * 225 = 1350 feet

Therefore, Andrew runs 1350 feet each time he runs around the field. Next, we need to figure out how much 1350 feet goes into 12 miles as we want to find how many times Andrew runs around the field to get to 12 miles. This can be represented by

12 miles/1350 feet

One thing that we can do here is multiply the fraction by 1 to keep it the same. Because 1 mile = 5280 feet, we can say that

1 mile/5280 feet = 1 = 5280 feet/1 mile. Therefore, it would be safe to multiply

12 miles/1350 feet by 1 = 5280 feet/1 mile. Note that feet is on the bottom in the first fraction (12 miles/1350 feet) and on the top in the second (5280 feet/1 mile) so they will cancel out. Similarly, miles are on top in the first and bottom in the second. We then have

12 miles/1350 feet * 5280 feet/1 mile =63360/1350 ≈ 46.9

4 0

3 years ago