5. Define R as the region bounded by the graph of y=2x-r and by the x-axis...
os. Define R as the region bounded by the graph of y2x-x' and by the axis over the interval [0.21 Find the volume of the solid of revolution formed by revolving Ruround the y-axis. Hint: Use Shell Method. 16 pts) 6. Find the average value, so of the function /(x) = cos x over the interval (0, 2) and find e such that f(e) equals the average value of the function over [0, 2x) 15 pts] 7. Express the limits...
IMath 1021sec 6.41Page 8bu Example. Let R be the region bounded by the graph of y sin x2, the x-axis, and the vertical line x Tt/2. Use Shell sin x method to find the volume of the solid of revolution obtained by revolving R about Height 2 = sin x the y-axis, 0 VT/2 Interval of integration IMath 1021sec 6.41Page 8bu Example. Let R be the region bounded by the graph of y sin x2, the x-axis, and the vertical...
16pts. Use the Disk Method to find the volume of the solid of revolution bounded by the graphs of y=x+1 1. und 2, and rotated about the x-axis. 87 16 pts] 4. Use the Washer Method to find the volume of a solid of revolution formed by revolving the region bounded above by the graph of y = 2x and below by the graph of y = 2/x over the interval [1, 4) around the x-axis A
Define R as the region that is bounded by the graph of the function f(X)=x^3/6+2, the xaxis, x=-1, and x=1. QUESTION 9 · 1 POINT 23 Define R as the region that is bounded by the graph of the function f(2) +2, the x-axis, x = -1, and x = 1. Use 6 the disk method to find the volume of the solid of revolution when R is rotated around the z-axis. Submit an exact answer in terms of ....
4. Use the Washer Method to find the volume of a solid of revolution formed by revolving the region bounded above by the graph of y=2x and below by the graph of y=2/x over the interval [1, 4) around the x-axis. X
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...
Let R be the region bounded below by the graph of y=(x^2)+5 and above by the graphs of y=6x and y=12. Find the volume of the solid obtained by revolving R about the x-axis.
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+...
3. Let region R be bounded by y = 2x - x? and y = 0 on (0,2). Setup the definite integral(s) that represents the volume of the solid generated by rotating region about the y-axis. Draw a sketch to interpret your results.
0. Using Let R be a region bounded by y = x?, y = 16 and x = SHELL METHOD, set up an integral to find the volume of the solid generated by revolving R around the line x 8. YOU DON'T NEED TO SOLVE THE INTEGRAL.