MAT 302 Assignment Problem 7.4 | Borough of Manhattan Community College
- Borough of Manhattan Community College / MAT 302
- 19 Jun 2021
- Price: $7
- Mathematics Assignment Help / Calculus
MAT 302 Assignment Problem 7.4 | Borough of Manhattan Community College
7.4 Arc length and Surface of Revolution
Question 1
(1 point) Find the arc
length of the graph of the function
y=x36+12xy=x36+12x over the
interval [1,2]
Question 2
(1 point) Find the arc
length of the graph of the function
y=2x32+3y=2x32+3 over the interval [0,9][0,9].
Question 3
(1 point) Find the arc
length of the graph of the function
y=ln(cosx)y=ln(cosx) over the interval [0,π3]
Question 4
(1 point) Find the arc
length of the graph of the function
y=ln(ex+1ex−1)y=ln(ex+1ex−1) over
the interval [[ ln(2),ln(3)ln(2),ln(3) ]]
Hint: This problem will require
factoring exex from
numerator and denominator a couple of times.
Question 5
(1 point) Set up and
evaluate the definite integral for the area of surface generated by revolving
the curve about the x-axis.
y=2x√y=2x on interval [4,9]
Question 6
(1 point) Set up and
evaluate the definite integral for the area of surface generated by revolving
the curve about the x-axis.
y=9−x2−−−−−√y=9−x2 , [−2,2]
Question 7
(1 point) Set up and
evaluate the definite integral for the area of surface generated by revolving
the curve about the x-axis.
y=x2+3y=x2+3 , [1,5]
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