Set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the y-axis. (Round your answer to three decimal places.)
y = 1 − (x^2)/36 , 0 ≤ x ≤ 6
Set up and evaluate the definite integral for the area of the surface generated by revolving...
a. Set up an integral for the area of the surface generated by revolving the curve x = 3 sin y, 0 sys about the y-axis. b. Graph the curve. c. Use technology to find the surface area numerically. a. Set up an integral for the area of the surface generated by revolving the curve x = 3 sin y, 0 sys about the y-axis. b. Graph the curve. c. Use technology to find the surface area numerically.
8. Use the shell method to set up and evaluate the integral y- 3x that gives the volume of the solid generated by revolving the plane region about the y-axis. a. 192R b. 384x C. 192x d. 384x e. 96x 7 9. Set up and evaluate the definite integral for the area of the surface formed by revolving graph of y-9-2 about the y-axis. Round your answer to three decimal places. 8. Use the shell method to set up and...
Question 5. Write an integral for the area of the surface generated by revolving the curve y = cost, for Sos, about the n-axis. 2 Question 6.
Set up the integral to represent the surface area of the solid obtained by revolving y=x^2 + sin(2x) on the interval [ 0, (π/2) ] about the x-axis. DO NOT solve.
Question 10 Set up the definite integral and evaluate the definite integral to determine the area of the shaded region. Show all work and provide your response in the box below. The curve is given by f(x)= x3 + 2x2 - 5x+3. If you cannot view the image below, please click on this link. HHHHHH HHHHHHH 5+ HH HHHHH HHH -7 -6 -5 -4 -3 -2 -1 0
Check Choose Section 7.4 pt 2 Practice Find the surface area of the surface generated by revolving y-9- and y-o from x- -2 and x 2 about the x- axis. Find the exact answer showing all calculus work. 1. Choos "Chech and y-0 from 2. Find the surface area of the surface generated by revolving y- x0 andx2 about the x - axis. Use your calculator and round to the hundredth place. 3. Find the surface area of the surface...
Find the area of the surface generated by revolving the curve x = 50sys5, about the y-axis. The area of the surface generated by revolving the curve x = (Type an exact answer in terms of .) Osys5, about the y-axis is square units.
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the x-axis. y =sqrt x + 12 y = x y = 0 Your last submission is used for your sc LARCALC11 7.3.022. RMy Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the x-axis. y = V x...
2. [This problem is intended to measure the ability of students to apply the definite integral to determine the area (CO 5). Score 25] Sketch the region under the curve y = 2vx and y = 3 - x in the first quadrant. Find the area of the region. Find the center of mass of the region. 3. [This problem is intended to measure the ability of students to integral to determine the volume of solids of revolution (CO 5)....
5) (15 pts) Find the surface area of the surface generated by revolving the curvey 0 < x < 2; about the x-axis. (HINT: S.A 6) (15 pts) Find the length of the curve y = * - 4xfrom x = 1 to x = 2.