Determine whether the series converges. 1 k=1 Vk + 11

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A: Here, the given function is: f(x)=π2+cos (x)⇒f'(x)=-sin x

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Q: it is an infinite series in the form, ECn (x – a)" = co + C1 (x- a) + c2 (x - a)²+...

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Q: Q2) if the vechrs V=-i +5 and ū=Tz i+5J+2 R Find a) The scalev component of ū in the divection of V ...

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Q: Consider the function f(x, y) = x2 + 2y2 – 4x – 4y, defined on R². Find and classify all the extrema...

A: The given function is . f(x,y)=x2+2y2-4x-4y defined on R2.

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Q: EX:- Show that dw Vす 2. の ē" dw fcb)-VEerfa) %3D e dw ei

A: Using error function erf(f) . 

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Q: Fitting a Polynomial to a Sequence Use difference sequences and matrices to determine the polynomial...

A: Solution

Q: Identify the point (xo, yo) on the line 7x – 12y = 10 that is closest to the origin. (Give your answ...

A: Identify the point (x0,y0) on the line 7x-12y=10 that is closet to the origin. 

Q: Find dw for the following functions and dw e 2- X+ツ

A: This question can be solved using the concepts of partial derivatives.

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Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear approxim...

Q: Give an equation for the cylinder passing through (0, 2, 4) with the vertical line through (1,0,0) a...

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Q: Find the arc length of the graph of the function over the indicated interval. 3/2 y : x² !!

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Q: 6+ r Given f(x) = find f'(x) using the limit definition of the derivative. 7+1 f'(x)=

A: By limit definition of derivative f'(x)=limh→0f(x+h)-f(x)h       f'(x)    =limh→06+x+h7+x+h-6+x7+xh ...

Q: Let g be the function given by g (x) 100 (t2 – 3t + 2) e ť dt. Which of the following statements abo...

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Q: Hw. Find dw for the following functions and dw we cosh (cot( )

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Q: Find the area of the region bounded by the curve y = Vz – 1, the y-axis and the lines y = 1 and y = ...

A: See the details solution in below

Q: First find f+g, f-g, fg, and Then determine the domain for each function. f(x) = Vx; g(x) =x-3 (f+g)...

A: topic - functions

Q: Determine whether the series converges, and if so find its sum. 4k+2 2 7k-1 k=1

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Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 2860 –...

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Q: u? + 5u – 7 If g(u) In(u) find g'(u)

A: The given function,    g(u)=u2+5u-7ln(u)

Q: he given cost and demand functions, find the production level that will maximize profit. (Round your...

A: Given query is to find the production level to maximize the profit.

Q: Find the transition points. y = 4x7 – 56x° (Use symbolic notation and fractions where needed. Give y...

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Q: Find an equation of tangent line at the point (−1, 1) to the curve x^4y^2 + 1 = x^2 + y^3

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Determine whether the sequence converges or diverges. If it converges, find its limit {cos (n(pi)+(...

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Q: Problem 3.1 Prove that if x is a positive real number, then LV[]] = [V]

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Q: Calculate the derivative of the following functions. Use the rules for derivatives. 1) q(x)= tan^(-...

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Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as...

Q: 1 What is the expansion of f (x) = 1-r OE(-1)"x" Ο Σ 2n

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Q: Determine whether the series E " *" converge or diverge using alternating n+1 series test. o (-1)" D...

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Q: Consider the following sequence: {an} = {n– n² } In=1 Use an+1 - an to show that the given sequence ...

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Q: (1+cot 8) de 5. sin eJ4 - cote

A:      ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫ -1+u4-u2du=-∫14-u2+u4-u2du=-∫14-u2du+∫u4-u2du=-arcsin12u-4-u...

Q: c. the area of the parallelogram formed by the vectors a and b 3. Two forces of 40 N and 50 N act at...

A: The given data is: F1=40 NF2=50 Nθ=60∘  To determine the resultant and equilibrant of these forces.

Q: . There is a jump discontinuity at x = 1 and lim f(x) = 1 x +1

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A: topic - angles

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Q: (prore) using sequences とす、

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Q: Find the first quadrant area bounded by the following curves: y = x? +2, y = 4 and x = 0.

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Evaluate the iterated integral f Só 6x²y° dxdy

A: Given:    ∫03∫02 6x2y3 dxdy  

Q: 2 x-6 = 1/8

A: Given:   2x-6  =18

Q: Use Green's Function to assist in solve the following initial-value problem. (Section 4.8) y" – y' =...

A: Given:    y '' - y' =1              ,        y(0) = 10    , y' (0)  =1

Q: + Q&A Library 8. Determine the Taylor series for f(x) = sin x at x = T. ... 8. Determine the Taylor ...

A: According to our company's guidelines I can only answer first question since you have asked multiple...

Q: Find the exact value of sin 20, cos 20, tan 20, and the quadrant in which 20 lies. 45 0 in quadrant ...

A: Given query is to find the value of indicated trigonometric functions.