find the volume of the solid. 15. y=1", y = 40 - 1? a. the z-axis...
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 5x +6 and the parabola y = x about the following lines. a. The line x6 b. The line x= -1 c. The x-axis d. The line y36 (a) The volume of the given solid is (Type an exact answer in terms of .) (b) The volume of the given solid is (Type an exact answer in terms of...
all answer
Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
6. (1 point) Find the volume of the solid formed by rotating the region 1- enclosed by y- e +2, y-0, x-0, x 0.1 about the x-axis. Answer:
6. (1 point) Find the volume of the solid formed by rotating the region 1- enclosed by y- e +2, y-0, x-0, x 0.1 about the x-axis. Answer:
1. Find the volume of the solid under the cone z= sqrt (x^2 + y^2) and over the ring 4 |\eq x^2 + y^2 |\eq 25. 2. Find the volume of the solid under the plane 6x + 4y + z= 12 and over the disk with border x^2 + y^2 = y. 3. The area of the smallest region, locked by the spiral r\Theta= 1, the circles r=1 and r=3 and the polar axis.
Find the volume of the solid generated by revolving the shaded region about the y-axis. T 0.5 x 2 tan X 1.5 The volume of the solid generated by revolving the shaded region about the y-axis is (Type an exact answer, using n as needed.)
Find the volume of the solid generated by revolving the shaded region about the y-axis. T 0.5 x 2 tan X 1.5 The volume of the solid generated by revolving the shaded region about the...
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?...
Find the volume of the solid obtained by rotating the region bounded by the curve z = 1+ y about the line y = 2 and the lines y = 0, y = 1 The format of your answer should be 57. Type integers A, and B. Numerator A= Denominator B= . Find all 1).
1. Using polar coordinates in the x-y plane, find the volume of the solid above the cone z r and below the hemisphere z= v8-r2. As a check the answer is approximately 13.88 but of course you have to calculate the exact answer 2. At the right is the graph of the 8-leafed rose r 1+2cos(40) Calculate the area of the small leaf. As a check the answer is 0.136 to 3 places of decimal (But of course you have...
Find the volume of the solid generated by revolving the region about the y-axis. The region enclosed by x = y 1/3, x = 0, y = 27 243 729 5 Π 243 П 811 Find the volume of the solid generated by revolving the shaded region about the given axis. About the x-axis y = 3./sinx o 12.90 3-2-31 o în nata No No No 12 + 9rt
The region between y=x and y=(x-2)^2 is revolved about the x axis. Find the volume of the solid. Then find the volume if revolved about the y-axis.