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3 years ago

How to do graph solution sets?

Mathematics

1 answer:

Yakvenalex [24]3 years ago

7 0

My suggestion is to look on google, there are plenty of answers and I think it will explain better than me.

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

3 years ago

A car is traveling at a rate of 99 kilometers per hour. what is the car's rate in kilometers per minute? how many kilometers wil

gayaneshka [121]

there are 60 minutes per hour

99/60 = 1.65 km per minute

1.65 x 2 = 3.3 km in 2 minutes

7 0

3 years ago

A) .2<br> B).25<br> C).35<br> D).4

Lesechka [4]

Answer:

2 the answer cause 2×2=4

7 0

2 years ago

Winnie needs to spend $120 on two kinds of fancy cakes:

Ainat [17]

Answer:

Winnie needs to buy 6 slices of Coffee cake.

Step-by-step explanation:

12 * 5= $60 (chocolate cake)

120 - 60= 60

since we know the coffee cake costs $10(per slice) we do:

60/ $10= 6 slices of coffee cake.

3 0

2 years ago

What is the rate of change for y=2x+10

Tanzania [10]

Answer:

its 2

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval

8 0

2 years ago