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Identify the integral used to determine the surface area of the surface of revolution for the...
Can
you please do 3 a, b and 4 (b&c)
3. Find an integral that represents the area of the given surface of revolution. 2, about the vertical line, 2. (b) (22+ 8vi), 1sts4, about the horizontal line, y 4. 4. Find an integral that represents the volume of the given solid of revolution. (b)(22+플, 8vE). (e)(2 + cost, sin t), 4, about the horizontal line, y=4. 1st about they-axis. 2π, 0 t
3. Find an integral that represents the...
Determine the surface area in in2 and the volume in in3 of the body of revolution obtained by revolving the blue square one revolution about the a-a-axis. 760 O 6.8 in A = in 2 V = in 3
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.
Determine the total surface area and total volume generated by a
complete revolution about the Y-axis of the given figure
Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = -6 (Use symbolic notation and fractions where needed.) S =
Determine the surface areas in in2 and the volumes in in3 of the bodies of revolution obtained by revolving the bright blue shape one revolution around the following axes. The cutouts on each end are semicircular with 7.8 in. diameter. 7.8 in 3.9 in o 7.8 in 7.8 in (a) the y-axis A = in 2 V = in 3 (b) the x-axis A = in2 V = in 3
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)....
Find the surface area of the solid of revolution obtained by
rotating the curve
x=(1/12)(y^2+8)^(3/2)
from ?=2 to ?=5 about the x-axis:
(1 point) Find the surface area of the solid of revolution obtained by rotating the curve X= +8)3/2 from y = 2 to y = 5 about the x-axis:
Compute the surface area of revolution of ?=4?+3 about the x-axis over the interval [2,3]. ? = ??
Compute the surface area of revolution about the x-axis over the interval [0,1] for y=e^(−3x.) (Use symbolic notation and fractions where needed.)