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kirill115 [55]
3 years ago
13

Pls help help me out help help pls help quick

Mathematics
2 answers:
Julli [10]3 years ago
8 0

Answer:

B)

Step-by-step explanation:

kotegsom [21]3 years ago
7 0
The answer is b I hope this help
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I want the answers plz...​
Darina [25.2K]
Tip: look up the words and find the definition! its much easier
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What system of equations represents the graph?
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Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =
Strike441 [17]

Answer:

The volume is:

\displaystyle\frac{37\pi}{10}

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

\displaystyle\int_a^b\pi r^2dx

Notice here the radius of the washer is the difference of the given curves:

x-\sqrt{x}

So the integral becomes:

\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx

We solve it:

Factor \pi out and distribute the exponent (you can use FOIL):

\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx

Notice: x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}

So the integral becomes:

\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx

Then using the basic rule to evaluate the integral:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4

Simplifying a bit:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4

Then plugging the limits of the integral:

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Taking the root (rational exponents):

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Then doing those arithmetic computations we get:

\displaystyle\frac{37\pi}{10}

6 0
3 years ago
Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d
grigory [225]
The value is C because it represents the shift

5 0
3 years ago
Can anyone help me with this? I will mark you as brainliest
creativ13 [48]

Answer:

6×6×6×6×6×6×6=279936

6×6×6×6×6=7776

279936÷7776= 36

36 is the answer but u could express it as: (6²)....Six squared

Step-by-step explanation:

4 0
3 years ago
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