3/2 Find the exact area of the surface obtained by rotating the curve x = ÷(y² +2)"¨,1

Q: the following statements is IR

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A: I am attaching image so that you understand each and every step.

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Q: What are all the cube roots of -1 in the complex plane?

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Q: CONVERGENT

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Q: S0lve The I VE %3D %3D

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Q: If Y = x I" y = rn then y =? In a In x O None of the above In x In In x x2 27n ln x

A: The given function is y=xlnx We have to find derivative of y Now, rewrite the function:…

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Q: Evaluate the definite integral. "1/4 9 + 5 cos?(8) cos?(e) de

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A: We have to find out converging &amp; diverging nature of given series .

Q: (10re", 2.r3 + 3.r² – 12.r, r>0 I<0 Given: ƒ(x) (a) Identify all critical numbers of f. (b)…

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Q: S10.re", 2.3+3x2 - 12x, r20 r <0 Given: f(x) = %3D (b) Determine the extreme values of f on [-2, 2].…

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Q: 7 then d'y 21 True or False: If Y = 5x° + . 100x3 x!/2 dx? 4x 2 True False

A: Given problem:-

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Q: Consider the following. u = (4, 7, -7), v = (-9, 3, -4) (a) Find the projection of u onto v. (b)…

A: Projection of u onto v is given by projvu=v·uv2vAnd the vector component of u orthogonal to v is…

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A: Here we have to find whether the given sequence is converges or diverges.

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A: Given that       f(x) = 7(x-1)2/(x+9)

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Q: Activity 1.4.2. For each given graph of y = f(x), sketch an approximate graph of its derivative…

A: For each graph of y=f(x) , sketch an approximate graph of its derivative function, y=f'(x).

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A: Given :P(1,-4,-5)Q(2,0,13)R(-3,34,6)

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Q: 1. Find the domain and level curves for each of the following. (a) z = 1+x? + y3 (b) z = Va? – y - 3…

A: a) Here, the given function is: z=1+x2+y3...(1) That is z is a function of x and y and here…

Q: 2.

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Q: Find the Maclaurin series for f(x) = 21 e What is the Maclaurin series of f(x) = 21 e*? 00 Σ (Type…

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Q: 9. x=t² +1, y = 3t² + 2t . d y b) Find dx? Show All Work and Give Answer In Simplest Form.

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Q: The non-homogeneous differential equation P(D)y = cos(2x ) has associated the characteristic…

A: I am attaching image so that you understand each and every step.

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Q: Determine the third degree Maclaurin polynomial of f(x) = tan 3x. Use this to approximate the…

A: We need to find approximation by using Maclaurin series.