dy = ky dx

Q: Duf :

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A: This is a problem related to series expansion. Based on the general formula and concept we will…

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A: Here we have to use the concept of integration for solving the given problem.

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A: Here, the given function is: p(x)=V2x(R+x)2 of power to find x that maximize the power.

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A: We have to find out the correct answer

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A: The given problem is solved below in detail.

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A: Given :f(x,y)=x3y-xy3

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Q: Evaluate the double integral. /| 4x²sin y²dA; Ris the region that is bounded by y = x², y = -x², and…

A: Given problem:-

Q: 3X C-6X)

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Q: Find the area of the region using a double integral. The region bounded by y = 3x*, 3x + y = 6, and…

A: A detailed solution is given below.

Q: B. Evaluate the following .5 2 -x-6|dx 5 1. 1 dx 2. | 2tan(x)dx 3. 3 dx

A: As per bartleby guidelines we only give first three question answers.

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A: To evaluate the value of double integral.

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A: We know that  x=c is a critical number of the function f(x) if f(c) exists & if either of the…

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Q: If D=d and Y= Cost The Cos X =

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Q: Find the partial derivative of f(x, y) 8x - 2xy2 + y3 with respect to x at the point (2, 1, 61).

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Q: Find the relative maximum and minimum values. 3 3. f(x,y) =x +y° - 15xy

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A: Let's find.

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Q: Describe the graph of the equation. r = - 10i+ (1 – ²)j + t k O It is a parabola in the plane z = –…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²…

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Q: taylor tanox)

A: We have to find Taylor series of tanx

Q: 12 9.

A: Use Trigonometric ratios

Q: Use Green Theorem to Evaluate y x²dx – x²dy where C is left half of x² + y² = 25 %3D

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Q: 2 x²+yi -I -VI-2²

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Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: Where is each function continuous? (b) f(r) = sin-(1-r) %3D I+3 (c) f(r) In ) %3D (d) f(r)= 12+5r+ 6

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Q: values of x in the open interval (0, 2) satisfy the conclusion of the Mean Value Theorem for the…

A: This question is related to Mean value theorem, we will solve it using given information.

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A: In this we use Lagrange multiplier to find out max/min value for given constraints, so I'm providing…

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Q: This problem has two parts. The second part will appear after you answer the first part correctly.…

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Q: The total sales, S, of a one-product firm are given by S(L,M) = ML - L², where Mis the cost of…

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Q: Find the area of the region enclosed by y = 0.75 and a 6 - y". -4 -3 -2 -1 4 5 -2- Use horizontal…

A: To find the area of the region enclosed by y=0.75x and x=6-y2.

Q: Given the following functions: f(x) = cos(x) g(x) = x7 + 1 d d Find f(g(x)) and g(f(x)). (Use…

A: Given the following functions: fx=cosxgx=x17+1To find ddxfgx and ddxgfx.