Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area of the region is ___ square units.

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A: Given query is to find integral converges or diverges.

Q: s, e -0.4 is

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A: topic - indefinite integral

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A: The given function,  f(x,y)=-9x-6y+4

Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

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Q: please

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Q: please include let u du substitutions

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A: Reimann sum:Take the left point of sub-interval:∫16f(x) dx =∑i=1N f(xi*) ∆x∆x=1∫16f(x)…

Q: 0 7 m We model pumping from spherical containers the way we do from other containers, with the axis…

A: To find the work done.

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A: Sketch the region

Q: 87元 6 2 23 4元 3 ✈0 江 11元 6

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Q: Let R be the region bounded by the graphs of y = r-1, y = 1-2³ and the lines y = 3 and r= -1 as…

A: We will divide area in two part to set up integral and perimeter in three part .  For solid of…

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A: topic - partial differentiation

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Q: Evaluate the definite integral. 3 12√/5y + 1 dy 12√/5y + 1 dy = (Simplify your answer.)

A: Here is the solution:

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A: Topic:- integration

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A: We have to find the graph that have a greater horizontal magnitude than a vertical magnitude.

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A: Using permutations and combination