please solve the problem using both methods as required in the problem and write the exact answer fraction or decimal
please solve the problem using both methods as required in the problem and write the exact...
---------------------------------------------------------------------------------------------------PLEASE HELP------------------------------------------------------------------------------------------------------ ---------------------------------------------------------------------------------------------------PLEASE HELP------------------------------------------------------------------------------------------------------ Use the shell method to find the volume of the solid generated by revolving the region bounded by y-2x, y , and x-3 about the y-axis. axis is D cubic units The volume of the solid generated by revolving the region bounded by y-2x y--2 and x-3 about the (Type an exact answer, using t as needed.) Use the shell method to find the volume of the solid generated by revolving the region bounded by y...
Please solve all of these questions and do not skip any one of them. Also label them by 2, 3, 4a and 4b in this order. Sketch the region and find the area of the triangle with the given vertices. . (0,0), (1,8), (4,3) Let R be the region in the first quadrant bounded by the graphs of x=y and x = 4y. Which is greater, the volume of the solid generated when Ris revolved about the x-axis or the...
Part one: A solid dog dish is obtained by rotating the region bounded by y=0, y=x3, x=0, x=1 about the y-axis. Determine the volume using the disk/washer method. Part two: Determine the volume from the last problem using the shell method. Please write clearly. no script.. :-)
1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the x axis using the shell method 1) Set up and evaluate an incegral to find the volume of the solid otained ty rotating the given region bounded by y-x and -y a) About the lne 2 ucing the washer method b) About the...
#35 and 43 35-38. Shell and washer methods Let R be the region bounded by the following curves. Use both the shell method and the washer method to find the volume of the solid generated when R is revolved about the indicated axis.. 35. y = x, y = x1/3, in the first quadrant; about the x-axis y = - y = 1 - about the x-axis x + 1) 37. y = (x - 2)3 – 2, x =...
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+...
Problem 1 part II and Problem 2 part I and II Problem 1: (Short Answer) 6 pts] The region R is bounded by y 0, 0, 2, and y- 2 4 1, 3 pts] If R is revolved about the line x = 5. If an integral or sunn of integrals with respect to z is used to calculate the volume, explain whether the washer or shell method should be used II. 3 pts) Suppose that R is the base...
Volume and cylindrical shell method Question 8 (10 points) Find the volume of the solid formed by rotating the region bounded by y = 0, y = 1/(1 + x²), x = 0 and x = 1 about the y-axis. Question 6 (10 points) Rotate the region bounded by y = 2x2 and y = x3 X about the X-axis
Find the volume (or set up integral) of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region and a typical disk/washer or shell (depending on the method used). Use the method indicated if given, otherwise you choose the method. As indicated, either calculate the integral to find the volume (yes) or just set up the integral - limits of integration included - that you would use to calculate the volume,...
2) The region R in the first quadrant of the xy-plane is bounded by the curves y=−3x^2+21x+54, x=0 and y=0. A solid S is formed by rotating R about the y-axis: the (exact) volume of S is = 3) The region R in the first quadrant of the xy-plane is bounded by the curves y=−2sin(x), x=π, x=2π and y=0. A solid S is formed by rotating R about the y-axis: the volume of S is = 4) The region bounded...