2 8. For the telescoping series find a formula for the nth term of the sequence of (2k-1)(2k + 1)' partial sums {Sn}. Then evaluate lim Sn to obtain the value of the series or state that the series diverges. 818

Q: Differentiate ex with respect to x, assuming that y is implicitly a function of x.

A: Here we have to use the concept of implicit derivative

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A: We want to find the two positive real numbers whose product is 19 and the smallest possible sum.

Q: 5. Obtain a polynomial P(x) such that f(x) = P₁(x) given the table -1 -3 x₁ f(x₂) -2 -13 1 -1 2 -9 3…

A:

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A:

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A: We can find the derivative as below.

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A: Please see the below picture for detailed solution.

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A: Using the properties of Integrals

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A:

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A:

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A: Velocity is obtained by differentiating the position function

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A: We have to find the intersection of plane and line.

Q: H.W: find dz and dz as functions of u and v if: ди Əv z = 4e* ln y, x = ln(u cos v), y = u sin v

A:

Q: The cofactor of the following Matrix is [5 W = 3 4 6 cof(W) -12 18 11 4 2 0 11 -22 -8 16 2 1] 5 3

A: To find the cofactor matrix of W

Q: Find the root's 51 of Complex equation:

A: Given:      5√(-1)

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A:

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A:

Q: dy Find where y = csc dx Provide your answer below: dy dx = +9). 6x + 9

A: y = csc-(1/(6x+9)) find dy/dx = ?   here we use formula  dcsc-x/dx = -1/xx2-1   using this formula…

Q: S In (x) √xln(x)-x -X dx

A: ∫ln(x)xln(x)-xdx

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A: As per our guidelines, we are supposed to solve only 3 subparts. Kindly post other parts in the next…

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A: As both questions are not part of same question so as per policy only first question is answered.…

Q: fx tan x x dx

A:

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Q: Calculate the derivative. y = tan -T y = 2+x 2 - x (Express numbers in exact form. Use symbolic…

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Q: The following table shows the results of a survey of 200 authors by a publishing company. New…

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Q: a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

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A:

Q: 10) If 2 an = 12, then lim an = 848 n=1 (A) 1 8 (A) If lim 11) Suppose an > 0. Which of the…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: 4677×34677

A: 4677×34677= 162184329

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A:

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Q: (1) Suppose directional derivatives of the scalar function f(P) at a point P = (x, y), in the…

A: Solution: Let ∇f=xi+yj Then ∇f.3i+4j5=1⇒xi+yj.3i+4j5=1⇒3x5+4y5=1⇒3x+4y=5............(1)

Q: \(\) The vectors u= 8> and v= are not orthogonal if and only if -136 Select one: O True O False

A:

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A:

Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

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Q: Domain star tree door cloud O Function O Not a function Relation 1 O Function O Not a function Range…

A: Solution

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A: Let's solve double integral.

Q: a. A rectangular pen is built with one side against a barn. If 600 m of fencing are used for the…

A:

Q: If f(x, y) = cos(2x) - x² e5y + 3y², then fxy = -10x e5y True False O

A:

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

A: In this question, we want to compute the length of the curve.

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A:

Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

A: Solution is given below:

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A: We have to find solution of differential equation.

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Q: [ 2 cos(2a) da = -4 sin(2x)+C. Select one: O True O False

A:

Q: Let a be a real number. Evaluate the following integral: So fx + y dady

A: ∫0a∫y-1y+1 x+ydxdy this is given  find double integration  further step given below

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A: Multiply (x-2) and (3x-4)

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Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

A: