Question

1) Find the arc length of the graph of the function over the indicated interval. Show...

1) Find the arc length of the graph of the function over the indicated interval. Show your work.

  y=ln(cosx)   ;   [ 0 , π/4]

2)

Find the surface area generated by revolving the graph about the x - axis over the indicated interval. Show your work.

  y=2x   ;   [ 0 , 3 ]

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In Exercises 7–20, find the arc length of the graph of the function over the indicated...
In Exercises 7–20, find the arc length of the graph of the function over the indicated interval. x = 1/3√y( y − 3),   1 ≤ y ≤ 4
A) Use the arc length formula to find the length of the curve y = 2x...
A) Use the arc length formula to find the length of the curve y = 2x − 1, −2 ≤ x ≤ 1. Check your answer by noting that the curve is a line segment and calculating its length by the distance formula. B) Find the average value fave of the function f on the given interval. fave = C) Find the average value have of the function h on the given interval. h(x) = 9 cos4 x sin x,    [0,...
I have some integration questions for calc homework 1. Compute ds (the differential of arc length)...
I have some integration questions for calc homework 1. Compute ds (the differential of arc length) for f(x) = 2^x . 2. Compute the arc length of f(x) = 9x ^ 2/3 over the interval [0, 1]. 3. Find the surface area of the hollow shape obtained by rotating f(x) = sin(x) from x = 0 to x = π about the x-axis. Thanks for any help!
1. a) an ornamental light bulb is designed by the revolving graph of y=(1/3)x^(1/2) -x^(3/2), 0<x<(1/3)...
1. a) an ornamental light bulb is designed by the revolving graph of y=(1/3)x^(1/2) -x^(3/2), 0<x<(1/3) about the x-axis, where x and y are measured in feer. Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. (assume that the glass is 0.015 inch thick). b) Use technology to find b so that the arc length of y = x3 over the interval [0, b] is 6. An...
Determine the length of the graph of the given equation in the indicated interval. a) y=...
Determine the length of the graph of the given equation in the indicated interval. a) y= 4x^(3/2) from the point (0,0) to the point (1,4) b) y^2 = x in the interval(range) [-1,1] c) y= sin(x) in the interval (range) [0,pi] d) y=ln(cos x) between the values x=0 and x= pi/2
Find the volume generated by revolving about the x-axis the region bounded by the following graph....
Find the volume generated by revolving about the x-axis the region bounded by the following graph. y=sqrt(2x+3), x=0, x=1
1- Find the area enclosed by the given curves. Find the area of the region in...
1- Find the area enclosed by the given curves. Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the line   above left by y = x + 4, and above right by y = - x 2 + 10. 2- Find the area enclosed by the given curves. Find the area of the "triangular" region in the first quadrant that is bounded above by the curve  , below by the curve y...
Determine the surface area of a funnel that is generated by revolving the graph of y...
Determine the surface area of a funnel that is generated by revolving the graph of y = f(x) = x^3 + (1/12x) on the interval from [1, 2] about the x-axis.
for a and b use x= Square root x and g(x)=x/2 a)      Find the arc length...
for a and b use x= Square root x and g(x)=x/2 a)      Find the arc length of the curve of f(x) for 0≤x≤4.                   b)      Find the surface area of the solid of revolution revolved about the x-axis of             f(x) for 0≤x≤4.
graph the function over a one-period interval. Graph the basic function with a dotted line, then...
graph the function over a one-period interval. Graph the basic function with a dotted line, then show each transformmation with a dotted line graph. The final graph should be a solid line, after all transformations are completed. 1) y= 2+ sin(2x-pie) 2) y= 1/2 cos 4 (x-pie/3)