Directions: In each problem (1)-(5), write a definite integral of a single variable. For problems...
Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the y-axis. y=√4x²
2. [-17.14 Points] DETAILS L'ARCALC11 7.2.010. Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the y-axis. y = -x? y 2 3. [-17.14 Points) DETAILS LARCALC11 7.3.004. MY NOTES ASK YOUR TEACHER Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y = 3 - x 3 a У 1
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the x-axis. y =sqrt x + 12 y = x y = 0 Your last submission is used for your sc LARCALC11 7.3.022. RMy Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the x-axis. y = V x...
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y = V 1 2 3 4
answer all examples please Evaluate the definite integral. Use a graphing utility to ve (sin(x) - 6) dx -/1 POINTS LARCALCET7 5.4.039. Find the area of the region bounded by the graphs of the y = 5x2 + 3, x=0, x = 2, y = 0 -1 POINTS LARCALCET7 5.5.015. Find the indefinite integral and check the result by differe! 1x7(5x3 – 24 dx
show all work please 5) In each case, setup a definite integral that when evaluated gives the volume of the solid generated when the region pictured below is rotated about the indicated me. Use the method indicated. You need not evaluate these integrals. (8 pts) x=2 y= x+2 a) About the line x=2; Disks b) About the line y = 4; Rings
16 5 Evaluate the definite integral -7 dz. Use a graphing utility to verify your results. O 10.923 32,771 8 O 32,773 10 O 10,925 O 32, 768 Find the area of the region bounded by the graphs of the equations y= x + x, x = 4, y = 0. Round your answer to the nearest whole number. o 72 O 715 O 691 01281 020,480
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...
solve problem 6 it is not a double integral, it is 1 integral In Convert to cylindrical coordinates ſyddy Set up the integral) 1b. Convert to spherical coordinates JJ Jy daddy (Set up the integral) 2. Une cylindrical coordinates to determine the volume of the solid in the 1" octant enclosed by the coordinate planes, the cylinder + 16 and the plane (Set up - do not solve) 3. Use spherical coordinates to determine the volume of the solid that...
7. Evaluate the following integral. b) SO3(2-1)05 dz c) f (xl dx (15 marks) 8. A shaded region S is bounded by the curve y = the x-axis, the vertical lines x = 1 and x = V2. The x(4-2)1/4 region is rotated through 21 radians about x-axis to form a solid of revolution. Compute the exact volume of the solid of revolution formed. (10 marks) 9. Between the two towers of a suspension bridge that are 2 kilometres apart,...