13. Determine which of the following alternating series converge and which diverge. Justify your answers. a) Σ=2(−1)n+1, In n In n² b) Σñ=1(−1)″ ln (1 + ²)

Q: What is the standard form equation of an ellipse that has vertices (-4,-13) and (-4, 11) and…

A: What is the standard form equation of an ellipse that has vertices (-4, -13) and (-4, 11) and…

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A: Given cartesian coordinates are (a)  (6,-6)(b)  (-1,3)

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Q: 17. Find the Maclaurin Series for the following function: coshx (Hint: we did sinh(x) in class)

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A: we need to find the derivative.

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Q: 1 5) Let A= 1 -1 0 0 -1 2 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

A: (a)  A-1=1Aadj(A)where  A=determinant if Agiven  A=1-1010-1-623

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A: Integration by parts

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Q: At what points on the given curve  x = 4t3, y = 2 + 32t − 4t2  does the tangent line have slope 1?…

A: Answer is in step 2.

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A: Write the component form

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Q: Find all real numbers k, if any, for which no real solution for k -2 and 2 -4 and 4 2 [₁2³ dz r³ dx…

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Q: What is ? arccotx d dx (arctanæ) -1 1 – x² 1 1 - x² -1 1 + x² 1 1+x²

A: ddxarctanx=11+x2 Proof: Let, y=arctanx   Then, tany=x Differentiate both sides with respect to x:…

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A: Please see the below answer.

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Q: ind the equation of the plane that contains (1, -2, 1), (1, 0, 2) and (0, -2, 2)

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Q: The rational function 310t V(t)= t + 2 models the velocity, V(t), in miles per hour, of a dragster t…

A: The rational function is given as  V(t)=310tt+2 The changed function of the velocity is…

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Q: Question 21 Compute the given integral. 1 36x² +1 -da Submit Question A Jump to Answer +C

A: Please see the below picture for detailed solution.

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Q: Assume f and g are inverse functions. Which of the following statements is/are true? 1. y = f(x) if…

A: Please see the below picture for detailed solution.

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Q: Determine whether the matrix is invertible. 85-8 -7 0 O No Yes NN

A: A matrix A is invertible if the determinant of A is not equal to zero.

Q: Solve the equation cos 2x + cos x = 2 in the interval [0, 24)

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A: Solve the following

Q: O Use Sigma n function, ex

A: Find the Maclaurin series for the function f(x)=e^x

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Q: Suppose that f'(x) = Answer: 8 + x² and F(x) = f(√). Find F'(1).

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Q: If C is a constant, and f(x) = | ƒ(x) = ln(Cx³), find and simplify the third derivative: ƒ'''(x) =

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. rsin 0=6 The…

A: in cartesian  coordinates  x=rcosθ  and  y=rsinθgiven  rsinθ=6