V4-x² c 3-x²-y² x dz dy dx J_5+x²+y² A 128/15 B 16/89 23/6 D) 6

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Q: 12. Find an equation for the tangent plane to the surface given by 2xy? = 2z2 – ryz at the point (2,…

A: We know that the equation of the tangent plane is: nxx-x0+nyy-y0+nzz-z0=0 Where n→-nxi+nyj+nzk is…

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A: topic - differential equation

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Q: 86. If f'(x) > 0 for all real numbers x and s(1) đt = 0, which of the following could be a table of…

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Q: n! n=1

A: Given :∑n=1∞ 1n!

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Q: f" (x) = cos x, f(0) = 1, f'(0) = 2, f'"(0) = 3.

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: Given points,  P(0,0,0), Q(4,2,4)

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Q: for the given path. C: x = 2 cos(8), y = sin(@), o se s 27

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Q: Find div F and curl F if F(x,y, z) = xzºi+ 5y°x²j+ 5z?yk.

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Q: Evaluate the given integral by changing to polar coordinates.     sin(x2 + y2) dA   R, where R is…

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Q: 27х3-8а3 y3= y= 3x-2a Зх-2а

A: Y'=?

Q: Where is each function continuous? (a) f(x) = Vi %3D

A: According to the company rule we can answer only first question and rest can be reposted.

Q: (2) Prove that for any integer L () NTX / sin? dx = L. L -L

A: ∫ cos(ax) dx = 1a sin(ax) +C

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Q: Fidn the sum: 2k (Write your final answer in fraction form, when applicable) A=31

A: Use the formula of summation then put the limits .

Q: Find V. (V × F), if F(x, y, z) = e²i+ 3xe"j – 7ev*k. - V · (V × F)

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A: Solution: ∯∂∂x6xy -∂∂y3xydxdy   (By green's theorem)

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A: Find your answer below

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A: To find unit tangent vector at given parameter.

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A: The given function is: f(x)=e-5x

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Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: Explanation of the answer is as follows

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Q: n° 3. Determine whether the sequence a, - converges or diverges. If it n – 2n° converges, find the…

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Q: 55-58 Use the properties of integrals to verify the inequality without evaluating the integrals. 55.…

A: Let's find.

Q: (b) trte) × u(t)] dt (i) Find the product first, then differentiate. (ii) Apply the properties of…

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