Test the series for convergence or divergence using the Alternating Series Test. (-1)" 6n + 1 n = 1

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A: Note:- As per your request i am solving sub part d and e from given sub parts

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A: here, i am providing my handwritten solution

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A: Solution : The given matrix is

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Q: dy = ky dx

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Q: Solution :- we have Fla) =5 cas 2x %3D Now di'fferentiate it wot x x d (cos2x) %3D Źx(-2sin2x) %3D…

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Q: 00 dz Either show that the improper integral converges and find its value, or show that it diverges…

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Q: sin20 6. J 1-cos 0

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Q: x² b. x²-4

A: Given: So,             f''(x)=x2x2-4''          =-8xx2-42'          =-8-3x2-4x2-43 Concave Up:…

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A: We have to find if the given statement is true or not.

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A: By using Lagrange multipliers to find the maximum and minimum values of f subject to the given…

Q: NOTE: Enter the exact answer as an improper fraction if necessary. A =

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Q: EX-10 - Prove the following identities: a) Sin( A+B)+ Sin( A-B)= 2.SinA.CosB Sin( A+B) b) tan A+ tan…

A: Using trigonometric function

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Q: Match the graphs with the corresponding formulas. 1. Sn = 2 – 1/n 2. Sn = 2+1/n ? v 3. Sn = 2+…

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Q: Find the derivative of the function at Po in the direction of A. g(x, y) = x - (y/x) + V3 sec-…

A: Given problem:-

Q: 1. Given ā = 31 -9j and b = -6i +j compute each of the following. (a) 105 (b) 14ā + 205 1 (c) 8b 3

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate with out hoH LnX lim

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A: Area bounded by the curve y=x2 and the line y=2-x

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Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

A: This question can be solved using the concept of differential equation and arbitrary constant.

Q: estion 10 ICLO-1] Three players (one divider and two choosers) are going to divide a cake fairly…

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A: Let's find.

Q: Solve the system of linear equations using Gauss-Jordan Elimination. -2 2 -4 7 [X1 8. -9 10 -6 12 X2…

A: To find the solution of given system of equations.

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Q: f (x) = arctan(x) Consider Using the given f (0.75) by making use of function at approximate the…

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

Q: * The solution of the differential equation below is dy = ky dx %3D x = eky y = ekx Option 2 O…

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Q: f(x) = lnx/sqrt(x) Find interval of increasing/decreasing: Local max and mix values:

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Q: The solution of the differential equation below is dy 3y + 4x = 0 %3D dx *

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A: Given :d(t)=16t2ft

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Q: c) Use the Chain Rule to compute %3D ds se In (c) express your answer in terms of the independent…

A: Here, the given functions are: f(x,y,z)=x4y+z4, x=st2, y=st,z=s2t

Q: Evaluate: 2 esindx, for n=8 using (a) Trapezoidal method, (b) Simpsons Method

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Q: 1 in LA 3 in 2 in 12 in R 3 in B R2 in Use the Pappus-Guldinus Theorem to estimate the volume of…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 4 1 lim 5t2 + 6 7t (?,?)

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Q: Find a formula for the nth term of the arithmetic sequence. a = 20, d = 7 an

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Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

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Q: Question #6 The area in square meters of a pond covered by an aigae bloom decreases exponentially…

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A: Topic = Derivative

Q: (26) Denote the second Fourier sine coefficient on the interval [-L, L] by L A2 = / f(x) sin -L Show…

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Q: Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3 , by using the Chain Rule dt

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Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 = 3.

A: We have to find the tangent equation.

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Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: 2. Solve the following initial Condition Problems: dy а. dx Vry, y(1) = 2. || b. y' = x + y, y(0) =…

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Q: OGraph the following Runetion two -4

A: Graph

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