Given that n21 and xn = V5n2 + 2n -3n 00 1. Will {xn}, be divergent or convergent? 2. Will E=1Xn be divergent or convergent? 'n=1

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A: We need to find the value of A such that the integral written below is integrable using the formula ...

Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 2 ydx = 3xdy; when x = -2, y = 1 Ans. y = (x/2)3

A: Given: 2ydx=3xdy ; x=-2, y=1   We know that; ∫1ax+bdx=1alnax+b+C

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A: maximize the function

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A: Given: For (A), Sketch:

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Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

A: Given problem:- Use the First Derivative Test to find relative (local) maximum points or minimum poi...

Q: 7. The current population of St. Catharines is about 133000. Suppose a major devel- opment is planne...

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Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the p...

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0, t...

Q: dx - = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) 3 6. V3 +

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Q: Solve the inequality. x-2 < 0 X+1

A: Given,            x-2x+1&lt;0

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A: Use simple integration formula.

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Q: Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian. 7. 8. 9. 1...

A: Find your answer below 

Q: Using Integral or comparison test, determine if the series is converging or diverging. +00 nyn n² + ...

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Q: e In (xle ) (2– sec²x) sec(3A – x) sec³x dr What should be the value of A for to be integrable using...

A: integration by substitution method 

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A: given 

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Solution is given below:

Q: if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33 sq...

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Q: 2nd deivative vong impliat dipperentiation x'y +y*x = X. -2

A: We can find the 2nd derivative of the given expression as below

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Q: Sketch the level curve of the function y? f(z, y) = %3D 9. 16 for c = 1.

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Q: use second derivaictive to find derivaitve 1 Crihalralues -3 and I (-a3) V(I, I'ntervals ofinerease ...

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Q: Let {an}n=1 be a convergent sequence such that a1 = v5 and an+1= /5an Compute lim an

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Q: A particle moves along an s-axis with the acceleration function 15 a(t) = Vt + 6t - 4 Moreover, its ...

A: The acceleration function of a particle,at=154t+6t

Q: Imagine that at a particular time, a kitchen counter has on it 10 bacteria and that this type of bac...

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Q: Select the answer that is equal to e#/² f(x) dx. Show workings. A. 2e*/2f(x) +2 | e=/² f'(x) dx B. e...

A: To solve the problem we use integration by parts formula. From integration by parts we get: ∫uv dx =...

Q: 2. Find the vertical asymptote/s of 7.x f(r) : %3D x2 - 3r- 28'

A: Here we have to find the vertical asymptote of the function f(x)=7xx2-3x-28

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

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Q: Write the equation for a sphere centered at the point ( 10, 10, – 8) and has the point (9, 1, 6).

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Here we have to find the unit vectors.

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A: From the equation of the tangent line we can deduce that the slope of the radical line would be -1/4

Q: y"(x) – 4y '(x) + 4y(x) = 4e²x; y(0) = -1, y'(0) = -4 Answer: y(x) = e?x (2x² – 2x – 1)

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Q: 1 n > 3. Let an n Vln n Use the Integral Test to determine if the series > an converges or diverges....

A: