Determine whether the seauence converges or diverges. If it conveges, find the R lo0?+nl00+(nn) 00 n. t Sn t I an=

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Q: 1 16k2 + 8k – 3 k=1 ||

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Q: 8.) C1-cose 1-05 do sin

A: Given that ∫1-cosθsinθdθSolution;∫1-cosθsinθdθ∫1sinθ-cosθsinθdθ∫cosecθ-cotθdθlncosecθ-cotθ-lnsinθ+c

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all tha...

A: f(x)= (x-2)(x-5)(x-7) , [2,7] 

Q: 00 54. 3* k=1

A: Use ratio test

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A: Using formula :

Q: 375 + 210 Now consider the geometric series 3n" + .... Find a and r for this geometric series. 22n 2...

A: 3π3/26 +3π4/28 +-----------+---  Find a , r and sum of the geometric series.

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Q: For the object generated by the revolving the curve 1 x > 1 %3D around the x-axis do the following: ...

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

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Q: dz and du ze at (u,v) = (36,4), u Let z=f(x,y), where x=u + v and y=. Find V dv given that : fy (36 ...

A: z=f(x,y), where x=u2+v2 and y=uv

Q: -. .- --- .... ...

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Q: Solve using horizantal S,ļide EX g. Evaluabt.fx.d. wha..ia.the..rsgem.in.the first quadrant.bounded....

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Q: x2 + 1 dx (x – 6)(x – 5)2 |

A: To solve the integration of the integrand (x2+1)/(x-6)(x-5)2 , we use partial fraction form. 

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Q: Use the Comparison Theorem to de x + 1 36 dx Ji O convergent O divergent 8

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Q: Water is leaking out of an inverted conical tank at a rate of 10,000 cm3/min at the same time that w...

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Q: Deremine whether the given seauarce converges cliverges or If it conerges, calculate the limit: an=

A: Given:-an=3+-2nnsolution:-an=3+-2nnan+1=3+-2n+1n+1limit of the siquenceL=limn→∞an+1an  

Q: Given the function f(x) = x² – 2x, what is equation of the tangent line to the graph of f at x = -1?...

A: 1. f(x)=x2-2x at x=-12. f(x) and g(x) are differentiable functions, f'(x)=3x and g'(x)=2x23. f(x)=xx...

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: Formula Answers du Inja - 6r+ 21+C 2 de Inlin al +C

A: We are authorized to solve only one question with 3 subparts, please repost remaining questions Inde...

Q: Suppose that f(x+h) -f(x) = -7hx^2 +1hx - 3h^2x + 7h^2 +7h^3 find f'(x)

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Q: Consider the following function. f(x) = 11x + 1 (a) Find the critical numbers of f. (Enter your answ...

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Q: Find the following limit value. Show all work and proper limit notation. 7 lim x-5 (x – 5)4

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Q: ;) I P(2,-2小),Q(3,-1,2) Q3) Q(3,-,2) and R( 3,-1,1) a) find the area of the triangle determined by t...

A: Given:   P(2, -2, 1) Q(3, -1, 1) R(3, -1, 1)

Q: 2. -4

A: Our Aim is to evaluate the integral given below:-∫dyyy8-4 -(i)

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

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Q: 7 4 + If f(x) = 2 + find f'(x). - 4 14 x3 Find f'(4). Find f''(x). Find f''(4).

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A: The function is  f(x)=(x-2)(x-5)(x-7)

Q: Consider the function f(x)= x^2−3x.   Compute the derivative using the definition

A: In order to solve this question we will use the concept of first principle which defines derivative.

Q: Find dy. y= 2 In (3+x*) dy =|

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Q: Which of the following are true for all polynomial functions? (1) If f'(x) = g'(x), then f(x) = g(x)...

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Q: (-1) cos[cosh (In ")]dr 4.

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Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequence x2 + 1 n An ...

A: Topic  - function and derivative 

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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: Find the radius of a cylindrical can (with a lid) to contain 1728 cm³ of water, using the minimum am...

A: volume of cylindrical can is given by             V = πr2h          where r = radius of cylinder    ...

Q: Consider the following sequence: 5" {an } = an+1 -to show that the given sequence {a,n} is strictly ...

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

A: Given:    x = 8     dx/dt = 1.3  Ladder length = 10

Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table o...

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the const x2 – ...

A: ∫f'(x)f(x) dx =lnfx+C ∫ax+bn dx =1a.ax+bn+1n+1+C ∫1x2+a2 dx =1atan-1xa+C

Q: find the power series represen tation of the following function given be low and determ in e the rad...

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Q: Determine whether the sequence converges or diverges. If it converges, find its limit {((-1)^n)/2n}

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Q: Note : m=0 2. 4-x a. Let f-1(x) = .Find f(x). т+4x b. If g(x) = 3 + v2x – m and f(x) – 1 = x² , then...

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