Question 1

What is the shell equation if you rotate on the y-axis (x=0)?

Accepted Answer

V=$$\int_{a}^{b} 2\pi xf(x) dx$$

Answer

V=$$\int_{a}^{b} 2\pi yf(y) dy$$

Answer

V=$$\int_{a}^{b} \pi xf(x) dx$$

Answer

V=$$\int_{a}^{b} \pi yf(y) dy$$

Question 2

What is the shell equation if you rotate on the x-axis (y=0)?

Accepted Answer

V=$$\int_{a}^{b} 2\pi yf(y) dy$$

Answer

V=$$\int_{a}^{b} \pi yf(y) dy$$

Answer

V=$$\int_{a}^{b} \pi xf(x) dx$$

Answer

V=$$\int_{a}^{b} 2\pi xf(x) dx$$

Question 3

If you rotate on a horizontal axis (the x-axis or y equals a number (y=#)). How do you find f(x)? (shells)

Accepted Answer

Right - Left,  since its dy

Answer

Top-Bottom, since its dx

Answer

Top-Bottom, Since its dy

Answer

Right - Left, since its dx

Question 4

If you rotate on a verticle axis (the y-axis or x equals a number (x=#)). How do you find f(x)? (shells)

Accepted Answer

Top-Bottom, since its dx

Answer

Right-Left, since dy

Answer

Right-Left, since  dx

Answer

Top-Bottom, since dy

Question 5

What is the disk equation if you rotate on the x-axis (y=0)?

Accepted Answer

V=$$\int_{a}^{b} \pi f(x)^2dx$$

Answer

V=$$\int_{a}^{b} \pi xf(x) dx$$

Answer

V=$$\int_{a}^{b} \pi f(y)^2 dy$$

Answer

V=$$\int_{a}^{b} \pi yf(y) dy$$

Question 6

What is the disk equation if you rotate on the y-axis (x=0)?

Accepted Answer

V=$$\int_{a}^{b} \pi f(y)^2 dy$$

Answer

V=$$\int_{a}^{b} 2\pi f(y)^2 dy$$

Answer

V=$$\int_{a}^{b} \pi f(x)^2 dx$$

Answer

V=$$\int_{a}^{b} 2\pi f(x)^2 dx$$

Question 7

What is the Washer equation if you rotate on the y-axis (x=0)?

Accepted Answer

V=$$\int_{a}^{b} \pi f(y)^2-g(y)^2dy$$

Answer

V=$$\int_{a}^{b} \pi f(x)  -g(x)dx$$

Answer

V=$$\int_{a}^{b} \pi f(x)^2-g(x)^2dx$$

Answer

V=$$\int_{a}^{b} \pi f(y)-g(y)dy$$

Question 8

What is the washer equation if you rotate on the x-axis (y=0)?

Accepted Answer

V=$$\int_{a}^{b} \pi f(x)^2-g(x)^2dx$$

Answer

V=$$\int_{a}^{b} \pi f(x)-g(x)dx$$

Answer

V=$$\int_{a}^{b} \pi f(y)^2-g(y)^2dy$$

Answer

V=$$\int_{a}^{b} \pi f(y)-g(y)dy$$

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