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3 years ago

Answer for brainilest and 10 points

Mathematics

1 answer:

lions [1.4K]3 years ago

5 0

Rational number I believe

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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

Write for the system 3x - 5y = 9,3x+y=3, which variable should we eliminate first?

murzikaleks [220]

Answer:

Step-by-step explanation:

7 0

2 years ago

Your quiz must include at least one word problem the requires multiplication or division of decimal by a power for ten. Example:

butalik [34]

Answer:

Total cost= $235

Step-by-step explanation:

Giving the following information:

Dontae wants to buy 100 tiles for his kitchen floor. The tiles cost $2.35.

To calculate the total cost, we need to use the following formula:

Total cost= 2.35*x

x= number of tiles

For 100 tiles:

Total cost= 2.35*100

Total cost= $235

5 0

3 years ago

Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He

kupik [55]

Answer:

The second option is better

Step-by-step explanation:

Total for the first choice:

8000*5.5/100 + 1500 = $1940

Total for the second choice:

8000*3/100 + 2000 = $2240

As we see the second choice is better as more salary is expected

7 0

3 years ago

Jenny bought a pair of pants for $19.99 and two shirts for $7.50 each. If she gave the cashier $40.00, how much change did she r

kumpel [21]

19.99 + 15= 34.99

40-34.99 = 12.51

Jenny received $5.01 change.

3 0

2 years ago