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10 Let C be the portion of the curve y-sinx for 0SxS T. Write down an integral representing the area of the surface obtained by revolving C about the indicated line. (a) the x-axis (c) the line x-4 (...
Let C be the portion of the curve rve y = x3 + 3x – 1...
Let C be the portion of the curve rve y = x3 + 3x – 1 between the points (1, 3) and (2, 13). (a) Write down a definite integral for the arclength of C. Do not evaluate the integral. (b) Write down a definite integral for the surface area of the surface of revolution obtained by revolving Cabout the x-axis. Do not evaluate the integral. (c) Write down a definite integral for the surface area of the surface of...
5. Find the area of the surface obtained by revolving the curve y = sin(x), for...
5. Find the area of the surface obtained by revolving the curve y = sin(x), for 0 < x <TT, about the z-axis. [10] 6. Work out si 23 - 22 +7 +59 dx. [10] 23 x2 + x - 1
Find the area of the surface generated by revolving the curve y= 0sxs6, about the x-axis...
Find the area of the surface generated by revolving the curve y= 0sxs6, about the x-axis The area of the surface is (Type an exact answer, using t as needed.) n Enter your answer in the answer box
Find the area of the surface generated by revolving the curve y= 0sxs6, about the x-axis The area of the surface is (Type an exact answer, using t as needed.) n Enter your answer in the answer box
a. Set up an integral for the area of the surface generated by revolving the curve...
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.
5. Find the area of the surface obtained by revolving the curve y = sin(x), for...
5. Find the area of the surface obtained by revolving the curve y = sin(x), for 0 S&ST, about the x-axis. (10) 6. Work out dr. [10] 23-2+2-1
Question 5. Write an integral for the area of the surface generated by revolving the curve...
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...
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.
Find the area of the surface generated by revolving x=t+w - 2 sts V2 about the...
Find the area of the surface generated by revolving x=t+w - 2 sts V2 about the y-axis. The surface area obtained by revolving the given curve around the y-axis is (Type an exact answer in terms of st.) 1.
(10 marks) Let C be the curve 64x – - y3 = 0 between y =...
(10 marks) Let C be the curve 64x – - y3 = 0 between y = 0 and y = 3. Sketch the graph of this curve. In each part, set up, but do not evaluate, an integral or a sum of integrals that solves the problem. (a) Find the area of the surface generated by revolving C about the x-axis by integrating with respect to x. (b) Find the area of the surface generated by revolving C about the...
Find the area of the surface generated by revolving the curve x = 50sys5, about the...
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.
Let C be the portion of the curve rve y = x3 + 3x – 1 between the points (1, 3) and (2, 13). (a) Write down a definite integral for the arclength of C. Do not evaluate the integral. (b) Write down a definite integral for the surface area of the surface of revolution obtained by revolving Cabout the x-axis. Do not evaluate the integral. (c) Write down a definite integral for the surface area of the surface of...
5. Find the area of the surface obtained by revolving the curve y = sin(x), for 0 < x <TT, about the z-axis. [10] 6. Work out si 23 - 22 +7 +59 dx. [10] 23 x2 + x - 1
Find the area of the surface generated by revolving the curve y= 0sxs6, about the x-axis The area of the surface is (Type an exact answer, using t as needed.) n Enter your answer in the answer box
Find the area of the surface generated by revolving the curve y= 0sxs6, about the x-axis The area of the surface is (Type an exact answer, using t as needed.) n Enter your answer in the answer box
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.
5. Find the area of the surface obtained by revolving the curve y = sin(x), for 0 S&ST, about the x-axis. (10) 6. Work out dr. [10] 23-2+2-1
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.
Find the area of the surface generated by revolving x=t+w - 2 sts V2 about the y-axis. The surface area obtained by revolving the given curve around the y-axis is (Type an exact answer in terms of st.) 1.
(10 marks) Let C be the curve 64x – - y3 = 0 between y = 0 and y = 3. Sketch the graph of this curve. In each part, set up, but do not evaluate, an integral or a sum of integrals that solves the problem. (a) Find the area of the surface generated by revolving C about the x-axis by integrating with respect to x. (b) Find the area of the surface generated by revolving C about the...
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.
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