In every sphere of radius r it is true that its volume V is given by V =ar³ , A snowball is melting at a rate of 7cm3 /min , If the ball maintains its spherical shape, then the rate at which its radius varies in cm /min, when it measures 1cm corresponds to: -7 a)

Q: Evaluate the integral. NOTE: Enter the exact answer. c10 1 xe"y dy dx

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Q: Question * Determine the nature of convergence of the following improper integrals 00 1 dx 1+ x* A =…

A: ∫a∞f(x)dx=limR→∞∫aRf(x)dx  If the limit exists and is a finite number, we say the improper integral…

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A: Solution is done in step 2

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A: The given problem is solved below in detail.

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A: A detailed solution is given below.

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A: A detailed solution is given below.

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A: form a integral then solve

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A: Here, to maximize the function f(x,y,z)=xyz using the constraint g(x,y,z)=x+y+z-6=0...(1)

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A: Explanation of the answer is as follows

Q: 3 4. 7 8. PO 723 1225.78 1853 246762942.68 3246.963419.05 3509.59 3555.42 The table is given by…

A: ------------------------------------------------------------- dPdt=Pa-bP1P1-baP·dP=a·dT…

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Q: Question Specify which of the following sequences converge en n+V5 an =5- %3D n2 Cn = an and Cn the…

A: If limn→∞an  exists and is finite the then sequence an is converges.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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A: Explanation of the answer is as follows

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A: Find the angle between the two planes..

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A: A detailed solution is given below

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Q: Evaluate the definite integral. i+e"j+tk)dt (e^ – 1) i – (e- - 1) j+ k O e - i+ (e" - 1) j + k 1 O…

A: A detailed solution is given below

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Q: Find the exact arc length of the curve over the stated interval. 1 1 + from y = 1 to y = 3 x = NOTE:…

A: Aec length of the given curveL=∫131+dxdy2dy    Considerx=16y3+12y-1thendxdy=(16×3y2)+-12y2…

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A: Unit tangent and normal vector

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A: r(t)=et cos(t) i+et sin(t) j+7et kr'(t)=[etcost-etsin(t)] i          +[etsint+etcos(t)] j +7et k…

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A: Topic = Integration

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A: Given