Use cylindrical coordinates to calculate the triple integral [ f(x, y, z) dV for the function f(x, y, z) = 1156 ²√ x² + y² and the region x² + y² ≤ z ≤ 34 − (x² + y²). (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Q: Apply Green's Theorem to evaluate the integral (4y² dx + 4x² dy), where C is the triangle bounded by…

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Q: Apply Green's Theorem to evaluate the integral $(2y² dx + 2x² dy), where C is the triangle bounded…

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Q: 1) Evaluate the following iterated integrals. a) Lo Lo b) ff c) Explain why Fubini's theorem doesn't…

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Q: Apply Green's Theorem to evaluate the integral. $(4y + x) +x)dx + (y + x)dy C: The circle (x-3)² +…

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Q: Evaluate the given integral by making an appropriate change of variables. 4 x - 6y 7x - y dA, R…

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Q: A useful change of variables to evaluate || (3x+6y) dA over the domain space shown below is u = x+2y…

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Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: Apply Green's Theorem to evaluate the integral. (4y + x)dx + (y + 3x)dy C: The circle (x-6)² + (y -…

A: We have to find the value of integralFor this we using green theoremThe green theorem says that

Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…