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7:39 2 Written Homework 9.pdf Math 131: Written Homework 9 Section 3.1 and 3.3 Name: \( \qquad \) Section 3.1 1. Find the area between the graphs of \( y=\sqrt[3]{x} \) and \( y=\frac{1}{x} \), for \( 1 \leq x \leq 8 \). 2. Find the area between the graphs of \( y=3 e^{x} \) and \( y=3 x e^{x^{2}} \), for \( 0 \leq x \leq 1 \). (the top curve is \( y=3 e^{x} \) ) 3. Find the area between the graphs of \( x=y^{2}-8 \) and \( x=e^{y} \), and between the lines \( y=-1 \) and \( y=1 \). 4. Find the area of the region enclosed by \( 2 x+y^{2}=8 \) and \( x=y \), sketched below. Dashboard Calendar To Do Notifications Inbox

          7:39 2
Written Homework 9.pdf

Math 131: Written Homework 9 Section 3.1 and 3.3

Name: \( \qquad \)

Section 3.1
1. Find the area between the graphs of \( y=\sqrt[3]{x} \) and \( y=\frac{1}{x} \), for \( 1 \leq x \leq 8 \).
2. Find the area between the graphs of \( y=3 e^{x} \) and \( y=3 x e^{x^{2}} \), for \( 0 \leq x \leq 1 \). (the top curve is \( y=3 e^{x} \) )
3. Find the area between the graphs of \( x=y^{2}-8 \) and \( x=e^{y} \), and between the lines \( y=-1 \) and \( y=1 \).
4. Find the area of the region enclosed by \( 2 x+y^{2}=8 \) and \( x=y \), sketched below.

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7:39 2
Written Homework 9.pdf

Math 131: Written Homework 9 Section 3.1 and 3.3

Name:

Section 3.1
1. Find the area between the graphs of y=√(x) and y=(1)/(x), for 1 ≤ x ≤ 8.
2. Find the area between the graphs of y=3 e^x and y=3 x e^x^2, for 0 ≤ x ≤ 1. (the top curve is y=3 e^x )
3. Find the area between the graphs of x=y^2-8 and x=e^y, and between the lines y=-1 and y=1.
4. Find the area of the region enclosed by 2 x+y^2=8 and x=y, sketched below.

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