Do not evaluate, rewrite the integral using spherical coordinates 25-x² - y2 1 dz dx dy...
10. Rewrite the following integral using cylindrical coordinates. Do NOT evaluate. V 25-y2 Lolo /x²+42 uz dz dx dy **
The figure shows the region of integration for the integral. fx, y, z dy dz dx 0 Jo Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume yx) 6x and z(x)-36-) x. f(x, y, 2) dy dx dz x, , z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz fx, y, z) dx dy dz J0 Jo Jo f(x, y, z) dz dx dy 0 0 f(x, y,...
2. Use cylindrical coordinates to solve the integral SSS (x2 + y2) dx dy dz D Z 2 Z = 2 z=Ż (x2 + y2) tor - y Х
Evaluate the following integral in cylindrical coordinates. 6 213 16x2 SS S -x2 - y2 dy dx dz e 0 0 X 6 213 16-X2 S ,-x2 - y2 dy dx dz = 0 0 x (Simplify your answer. Type an exact answer, using a as needed.)
4. Rewrite the following triple integral so that the order of integration is dy dx dz. Do not evaluate it. (3x + y) dz dy dit
(1 point) Evaluate the integral by changing to cylindrical coordinates. 2 ,2 (a2 +y2)32 dz dy dz 2L,2
(1 point) Evaluate the integral by changing to cylindrical coordinates. 2 ,2 (a2 +y2)32 dz dy dz 2L,2
Use
cylindrical or spherical coordinates to evaluate the integral:
inment FULL SCREEN PRINTER Chapter 14, Section 14.6, Question 019 Use cylindrical or spherical coordinates to evaluate the integral. V64-y2 V128-22 Voor z dz dx dy Enter the exact answer. 128-22-yy 22 dz dx dy = Edit SHOW HINT LINK TO TEXT
2. Convert to cylindrical coordinates. Do not evaluate. V5 10-22-y2 cos(.x2 + y²) dz dx dy. 22+y?
Evaluate the integral by changing to cylindrical coordinates. 13 /9-x² 89-x² - y2 x2 + y2 dz dy dx Jo
y2 + 4z2 = 16 Clearly construct a triple integral of the form dz dy dx to find the volume of the solid shown. The upper surface is defined by the cylinder y? +422 = 16. But do not evaluate the integral. 4 x