Write limits of integration for the integral ∫
(1 point) Write a triple integral, including limits of integration, that gives the volume between z + 3y + z = 1 and 4x + 6y + z z+9-2,#20, y 0. 1 and above where a and f Note: values for all answer blanks must be supplied for this problem to be able to check the answers provided.) (1 point) Write a triple integral, including limits of integration, that gives the volume between z + 3y + z = 1...
8. Write a triple integral including limits of integration that gives the volume between the top portion of the sphere x2 + y2 + 2 = 9 and the plane z = 2. Evaluate the integral. 9. Calculate the line integral fĒ. dr where F(x, y) = (x + y) 7 + (x+y); and C is the path given by r(t) = (t) 7 + (t?); for 0 <t<l.
(1 point) Write a triple Integral, including limits of integration, that gives the volume between 3x + y + z = 4 and 4x + 4y + z = 4 and above x + y S3.x > 0.7 20. LAH! d volume d where a d e- and fa (Note: values for all answer blanks must be supplied for this problem to be able to check the answers provided.)
Enter the correct limits of integration. Use increasing limits of integration. Set up the iterated integral for evaluating SS S40,0,.2)dz f(r,0,z)dz r dr de over the region D, D where D is the solid right cylinder whose base is a region in the xy-plane that lies inside the cardioid r = 6 +6 cos 0 and outside the circle r=6, and whose top lies in the plane z = 24 SSS fr, 0z) dz r dr de (Type exact answers,...
(1 point) Write limits of integration for the integral Jw g(x, y, z) DV, where W is the half cylinder shown, if the length of the cylinder is 2 and its radius is 2. Z y Jw 8(x, y, z) dV = Sa So So 8(x, y, z) dr d theta d X where a = 0 b= 2 C= ,d = 3 e = 0 , and f = 2
(1 point) Write limits of integration for the integral Jw g(x, y, z) DV, where W is the half cylinder shown, if the length of the cylinder is 2 and its radius is 2. Z y Jw 8(x, y, z) dV = Sa So So 8(x, y, z) dr d theta d X where a = 0 b= 2 с ,d = 3 e = 0 , and f = 2
(1 point) Write limits of integration for the integral Sw f(x, y, z) dV, where W is the quarter cylinder shown, if the length of the cylinder is 3 and its radius is 2. Z Sw f(x,y,z) dV = SSS f(z,y,z)d d d where a = b= I d= and f (Note: values for all answer blanks must be supplied for this problem to be able to check the answers provided.)
Find the indefinite integral. (Use C for the constant of integration.) Evaluate the integral using the given integration limits and the limits obtained by trigonometric substitution.
(1 point) Consider the following integral. Sketch its region of integration in the xy-plane. . miten de dy (a) Which graph shows the region of integration in the xy-plane? ? (b) Write the integral with the order of integration reversed: [Ia inte de dy- ." mtej dy de with limits of integration (c) Evaluate the integral (Click on a graph to enlarge it)
Problem 5. (1 point) Consider the following integral. Sketch its region of integration in the xy- plane - dr dy Jo Jo In(2) (a) Which graph shows the region of integration in the xy-plane? ? (b) Write the integral with the order of integration reversed: BDI Ir du = Jo Jo In(2) JA Jc In(2) dydz with limits of integration (Click on a graph to enlarge it) (C) Evaluate the integral. preview answers