Question 2: Differentiate the functions by using product or quotient rule. a) f(x) = (1 – 3x²) · e* 3x+1 b) f(x) = 2х-5

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Q: Topic: Integration by parts. Evaluate the integral.  Given:  ∫ x tan−1 x dx

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Q: Transform the General Form to standard form x² + y? + 6x - 8y + 13 = 0 %3D

A: topic- equation of circle

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

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A: We have to find value of f(3)

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A:    We have to apply properties of polynomial to find the correct graphs. 

Q: State whether the following series is Convergent or Divergent. (-1)" Vn +1 n=1

A: Absolutely convergent :If the the mod of the alternating series ∑n=1∞(-1)nan i.e., ∑n=1∞|(-1)nan | =...

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A: Given:  dydx = (ln x )4 x y2    y(1) = 3  

Q: 2. In each of the following, find fyzz, fryz, fryz- 2. f(x, y, z) = In(xyz) + z² tan-'(e*")

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Q: State whether the following series is Convergent or Divergent. n=1 O Convergent O Divergent iM:

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Q: 9 10 handwritten

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A: Explanation of the answer is as follows

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A: Topic:- application of integration

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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: 1. y = xsin(x + A) 2. y = C,sin3x + C2cos3x + x² – 9 3. y = 3Asinx – 2Bcosx

A: Please see the below picture for detailed solution. 

Q: 10. Using Stoke's theorem, evaluate y dx+ xz dy+x² dz where C is the boundary of the triangle cut fr...

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

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A: Given query is to find the relative maximum or minimum for the function.

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

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Q: Find the function with the transform 10 1 - e-4s – 4se- â(s) = 1- e-10s

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Q: 1. Evaluate the limit if it exists. If it does not exist, justify. 2 cos(3x? + 5) + [6x² +2] (a) lim...

A: Please see the below picture for detailed solution. 

Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

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

A: solution:-f(x)=1x2,     n=4,       c=4f'(x)=-2x3f''(x)=6x4f'''(x)=-24x5f4x=120x6

Q: Solve for the following problems: There are 5,500 men, women and children altogether at the swimming...

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