Classify the series as absolutely convergent, conditionally convergent, or divergent. (–1)k+1 k! (2k – 1)! conditionally convergent absolutely convergent divergent

Q: Question 14 3r dx be given. If u=e+2, then the resulting integral is ex+2 du. Compute f (3). Let A n...

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Q: dx The integral k, where u= f(x) and for some constant, k. Compute 2). reduces to ex + 1 A е - 1 B n...

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Q: Compute P,(f,0)(x) for the following function: f(0) = 42, f"(0) = 23, f) (0) =19, f®)(0) = 17, f("(0...

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Q: For x, y > 0, the function f is given by ƒ (x, y)=2In| Find the partial 1. derivatives f, and f..

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Q: Use Green's Theorem to calculate (422 – 3yx)dr + (3xy+ y² + 6)dy where C is the circumference (x – 1...

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Q: Use substitution to evaluate the integral in terms of f (x), assuming f (x) is never zero and f' (x)...

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Q: A diver launches themselves off a diving platform into a pool. The height, in metres, of the diver a...

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Q: If the solution to e2x sec2(e2x+1)dx is equal to k tan (e2x+1) + C, find the exact value of k. 1 A 2...

A: This question can be solved using the concept of integration by substitution.

Q: 3. a) Find the percentage error in computing u = Vx at x = 2.45, when x is 4 p) | If Ax = 0.005, Ay ...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: First we find radius of convergence. Then find interval of convergence. 

Q: xy' + (x + 1)y = x, y(ln(2)) = 1

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Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0,35 ...

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Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x -please answer sub part c,d,and e...

A: According to question,Given Function,fx= x23 -12

Q: х — 2 1. f(x) (2? — х + 1)2

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Q: From the roots of indicial equations, identify the general form of the first and the second solution...

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Q: sin 3x Given: -dx What is the appropriate formula to find the integral? cos? (3x) (4-3 sec 3x) du (A...

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Q: Using the "add drawing" tool, sketch the graph of the following, showing any points where the graph ...

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Q: /1 + dt and g(y) f(x) dx, find If f(x) g"(T/6).

A: We have to find value of g"(π/6)

Q: cot (2x) Evaluate the integral - * xp- V cor (2x) - 15 csc (2x) (A) -Arcsec +C 4 (B -- In cot (2x) +...

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Q: The student should estimate the equation 0.24 0.24 + tan [0.247 + 2(0.27)n] π 1 1 =-+-tan(Tx + 2ny) ...

A: Given function: gx,y=xπ+xπtanπx+2πy Point: 14, 14 To estimate: 0.24π+0.24πtan0.24π+20.27π Formulas u...

Q: A consumer has utility function xy u(x, y) = x+y

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Q: f(x) = 3√3x^2 + x + 1  take note: fuction of x is cube root of 3x^2 + x + 1 (a.) the critical numb...

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

Q: Given: V5x-3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is applicable? ...

A: Given  ∫5x2-3 x dx

Q: dx The integral where u= f(x) and for some constant, k. Compute (2). reduces to ex + 1 e2 +1 A e? e ...

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Q: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly...

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Q: x' - 36 lim 6 x+6 Vx+11-4 lim x-5 lim- 2 2-x x² +6x+9

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Q: 3) A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: Is the series convergent or divergent? Explain in minimum of two sentences. +00 n2 – 1 n2 +1 Un n=1 ...

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Q: 5x? tan( 3x³) dx. fu= 3x³, then the resulting integral is f(u) du. Find A Given: 4 A none of the cho...

A: Topic:- application of integration

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h f(x...

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Q: n2 - 6 with n5 + 6 Write an inequlity comparing for n > 1. n3 (Express numbers in exact form. Use sy...

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Q: Evaluate the integral / V4x4 - 12r? +7 xdx A - {(2x?-3) /4x4– 12x?+7 - 2 In |2x?– 3 + V4x4 - 12x2+7|...

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Q: xp xy6x -x

A: The given integral ∫1x6x-x2dxThe integral formula,117. ∫duu2au-u2=-2au-u2au+C

Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

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Q: The differential equation x*(x – 2)²y" + 3(x – 2)y' + y = 0, as the singular points at x = 0 and x =...

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Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² - 2...

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Q: Express the repeating decimal as a fraction. 0.2715 25 25 25...

A: The given number,    0.2715252525........

Q: 2. Use the Intermediate Value Theorem to show that 2.x - 3 if – 3 0 has a zero on the interval [-2, ...

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Q: lim

A: Put x=0 this is not a indeterminate form. 

Q: 3) A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We find out the Taylor series of e5x at c=0. Follow 2nd step.

Q: Find the nth Maclaurin polynomial for the function. 2x – 5 - f(x) n = 4 %3D X + 1 P(x) = %3D

A: According to question,Given Function,fx = 2x-5x+1n = 4

Q: 8. What is de x2+1

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Q: Question 15 Evaluate the integral V4x 4x4 12x2 +7 xdx. (4x* – 12r?+7) /2 +C 24 B(2x-3)/4x4- 12x2+7 +...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x) =

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Q: /atch the video on the improper integral 1/x^2 2 and the video on the nproper integral 1/x 2 before ...

A: We use the formula integration of ex dx=ex.

Q: 3(1+x²)-1/2, y(C

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Q: Use the Squeeze Theorem to evaluate lim sin(tan r) sech(secr). ес

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Q: I. Determine the derivative of the ff. exponential functions 1. y = 8 e -4x 2. y = 15 e 7x + 3 3. y ...

A: As per our company guidelines we can answer only three subparts question at a time, but if you need ...

Q: Find the Maclaurin polynomials of orders n= 0, 1, 2, 3, and 4 and them find the nth Maclaurin polyno...

A: Given :f(x)=16ln(1+x)