Hence, correct option is B which states value = 0
This was because, the upper and lower limits for x were same (=3).
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The value of the iterated integral z S' ()dyda - Select one: A. None of these...
Question 9 what is the value of the iterated integral Sd Jae++34 dydz Formulas: Assume a, b, c, and d are real numbers. We define an iterated integral for a function f(x, y) over the rectangular region R = [a, b] x [c, d] = {(x,y) a $$b csy $d} as Si ta f(x,y)dyda ist f(x,y)dyl dz. So [ f(0, 2)dy) do neand there we tanes integrate flt,») The notation with respect to y holding constant fino a 6 from...
For the described solid S, write the triple integral f(x,y, z)dV as an iterated integral in (i) rectangular coordinates (x,y, z); (ii) cylindrical coordinates (r, 0, 2); (iii) spherical coordinates (p, φ,0). a. Inside the sphere 2 +3+224 and above the conezV b. Inside the sphere x2 + y2 + 22-12 and above the paraboloid z 2 2 + y2. c. Inside the sphere 2,2 + y2 + z2-2 and above the surface z-(z2 + y2)1/4 d. Inside the sphere...
1 point) Suppose that the iterated triple integral , Ji-t ,f(x,y,z)dxdydz is rewritten in the form f(x, y, zdydzdx Then the value of α is (a)-54 (b)-65 (c)-78 (d-55 (e)-62 Select your answer?? Do not check your answer with the ? showing. It will be marked wrong
Write an iterated integral for SSS fex,y,z) av. S = {(x, y, z): 0 sxs8,0 sy s5,0<zs (5 - 6x - 2y)} 5 S 5-6x - 2y f(x, y, z) dz dy dx 5 8 5 f(x, y, z) dz dy dx s 8 5 5 - 6x - 2y f(x, y, z) dz dy dx 5 666 8 5 5 - 6x - 2y f(x, y, z) dx dy dz
Question 24 1 Calculate the iterated integral. So S," (x + 2y)dady 3 20 None of the above or below - 20 5 28 7 30
11. Write the integra y, z) DV as an iterated integral in six different ways where S is the solid bounded by the surfaces (a) x2 + 2 = 4, y = 0, y = 6, (b) 9x2 + 4y2 + x2 = 1. 12. Give five other integrals that are equal to the integral f(x,y,z) daddy.
4. (5 points) Express the integral JI f(x, y, z) dV as an iterated integral in 6 different ways, where E is the solid region bounded by y2 + z-9. x--2, and x-2. 4. (5 points) Express the integral JI f(x, y, z) dV as an iterated integral in 6 different ways, where E is the solid region bounded by y2 + z-9. x--2, and x-2.
5. Express the triple integral | f(x,y,z)dV as an iterated integral in cartesian coordinates. E is the region inside the sphere x2 + y2 + z2 = 2 and above the elliptic paraboloid z = x2 + y2
Calculate the iterated integral. s. Some (x + 2y)dady 0 20 7 30 3 20 5 28 None of the above or below
6. (10 points) Express the triple integral || ! f(x,y,z)AV as an iterated integral in cartesian coor- dinates. E is the region inside the cylinder x2 + y2 1, above the xyplane and below the plane x+y+z = 2. (DO NOT EVALUATE THE INTEGRAL)