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...
find the volume of the solid of revolution generated by rotating the given area about the given axis x y22, y + 4; about the line 1 (ignore the lines in the area) = 2 y22 1 6 4 -1 x y22, y + 4; about the line 1 (ignore the lines in the area) = 2 y22 1 6 4 -1
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:
Identify the integral used to determine the surface area of the surface of revolution for the shape described Byy=3 sin() +3, where 0sxsrevolved about the x-axis. ° 675,* (sin(ž) /1+cos?(łJdx © 205,* (sin(?) / 1+cos ( Jax ® 615,*(sum() + 1)/2+cos( © 608,5 (sin(5) + 1) /1-cos?(łJax
help. i dont know hwo to do this c) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating Pabout the line y- 1. Vertical or Horizontal slicing? Disk or a Washer? V.[[4ωά α V-[Λωω or Area of a slice A- Volume V d) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating about the y - axis. Vertical or Horizontal slicing? Disk...
1. The unbounded plan ar region bet ween the z-axis and the curve yis revolved about the r2 1 T-axis (a) Find the volume of the resulting solid of revolution b) Does the solid have faite surface area? Justify sour answer carefilly 1. The unbounded plan ar region bet ween the z-axis and the curve yis revolved about the r2 1 T-axis (a) Find the volume of the resulting solid of revolution b) Does the solid have faite surface area?...
cannot figure out how to write the integrals for this problem #2 1. If glx) -2x and fx) - , find the area of the region enclosed by the two graphs. Show a work for full credit. (4 pts) 2. A:12-80% 3 3 2 Let fix)-. Let R be the region in the first quadrant bounded by the gruph of y - f(x) and the vertical line x # l, as shown in the figure above. (a) Write but do...
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 (e) the line y 1 (b) the y-axis (d) the line x--1 (f) the line y -1 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...
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.
4. (Calculator) Let R be the region bounded by the graphs of f(x)= 20+x-x2 and g(x)=x-5x. (a) Find the area of R. (b) A vertical line x k divides R into two regions of equal area. Write, but do not solve, an equation that could be solved to find the value of k (c) The region R is the base of a solid. For this solid, the cross sections perpendicular to the x-axis are isosceles right triangles with the hypotenuse...
Q14 Find the distance from x=3 to x = 8 on the graph of y als Find the area of the surface generated by rotating y = 25*56 about the y-axis. Bonus: (1) Draw the region that is represented by the following definite integral which represents the volume of a solid generated by rotating the region about some axis. Be sure to label the curves and the axis of revolution: 2 (2 - y)- y)dy