2A 3D printer is used to create a plastic drinking glass. The equations given to the...
The region bounded by the graphs of x-4y and y x 1. is revolved around y-axis. Find the volume of 2 - the solid generated in this manner. The region bounded by the graphs of x-4y and y x 1. is revolved around y-axis. Find the volume of 2 - the solid generated in this manner.
Sketch the region bounded by the graphs of the equations and find the volume of the solid generated if the region is revolved about the x-axis. x = y²+2, y = x-4, y = 1
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...
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+...
Please solve for number 8. Thank you!! 7-10. Use the region R that is bounded by the graphs of y x-4, and y = 1 to complete the exercises. + 4 Region R is revolved about the x-axis to form a solid of revolution whose cross sections are washers. 7. a. What is the outer radius of a cross section of the solid at a point x in [0, 4]? b. What is the inner radius of a cross section...
Let R be the region in the first quadrant bounded by the x-axis and the graphs of y = in(x) and y=5-x, as shown in the figure above. a) Find the area of R. b) Region R is the base of a solid. For the solid, each cross-section perpendicular to the x-axis is a right isosceles triangle whose leg falls in the region. Write, but do not evaluate, an expression involving one or more integrals that gives the volume of the solid. c)...
Let S be the region bounded by the graphs of , , and the vertical line . a. Find the area of S b. Suppose S is revolved around the line . Using the cylindrical shell method, find an integral expression equal to the volume of the solid that is created. c. Now suppose S is the base of a solid. For that solid, each cross section perpendicular to the x-axis is a rectangle with height 5 times the length...
B and C Please! Rate for sure Letf be the function given by f(x)--16x2 +64x and let line l be the line tangent to the graph off atx-2, as shown in the figure to the right. Let R be the region bounded by the graph of f and the x-axis and let S be the region bounded by the graph of f line I, and the x-axis. a. Find the equation of line 1 C2- 64+61-12 - 72 C2,72 b....
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...
Instructions: Show all your work for FULL credit. Calculators are NOL final answer. Neatness is highly appreciated. 1. A region R, bounded by y 2x, y 6-x, and x-axis, is rotated around the y-axis. Sketch the region R, in the box a) 15 strip/slice you will use to find the volume of the solid of revolution. b) Write the definite integral that gives a X the volume of the solid of revolution. (DO NOT evaluate the integral.) Find the circumference...