Compute the limit of the nth term and use it to explain why the series is divergent. +00 2" – 1 2 2n +1 n=1 -

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A: Let's find. 

Q: 1. Consider a 100L tank containing 50L of salt water with a concentration of 1kg/L. Suppose that eac...

A: We have to find ivp. 

Q: 14. Eväluate the following imits. 3x2+2x+1 lim x3+3x+2 c)

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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Q: g(b) Use the Substitution Formula, f(g(x)) •g'(x) dx = f(u) du where g(x) = u, to evaluate the follo...

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Q: Find the average value of f (x, y) = = 4x cos(xy) over the rectangle R = {(x, y) | 0 < æ < n, 0 < y ...

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Q: Pivot once as indicated in the given simplex x, tableau. Read the solution from the result. X2 51 3 ...

A: Given : The simpex tableauTo find: The solution from the resultx1=  , x2=   , x3=   , s1=   , s2=   ...

Q: .3 dx J Tx²+9 .2

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Q: Find the first and second derivatives of the function. g(t) = t°(6t + 5)* g'(t) g"(t) =

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Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will...

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Q: B. Odr + (2r +1- Or) d0 = 0

A: θdr+(2r+1-θr)dθ=0drdθ=θr-2r-1θdrdθ=r-2rθ-1θdrdθ=r(1-2θ)-1θdrdθ-r(1-2θ)=-1θdrdθ+(2θ-1)r=-1θ It is a l...

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Q: The population of a city is 145,000. It declines continuously by 3% per year. Assuming this trend co...

A: Decay function is given by y=a(1-b)t where a is initial amount          b is decay factor          t...

Q: O Use a linear approxi mation (differential) to estimate 3999

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Q: GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solution legibly on a short bond ...

A: Since we are given with multiple number of questions and our guideline is solve the first question o...

Q: 2dt (t – 3)vt² – 6t +5

A: Given: I=∫2dtt-3t2-6t+5   ...1   As we know that; ∫11+x2dx=tan-1x+C    

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

A: We have to find the volume of the solid by rotating the region in the firs qudrant bounded by the cu...

Q: Given the function f'(x) = x(xxt 4)(x – 5)³, what conclusion can be drawn directly from the sign cha...

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Q: (0 -20 +2) y - 24esin 3x when x=0,y-0,y'=0

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Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: II a.5 cos? =D5

A: You asked multiple questions but as per guideline I can do only one question. Please repost the othe...

Q: 18. Differentiate y with respect to x using A-method. a) y = x³ + 2x? - x+ 5 b) y = ax*, where a is ...

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Q: Sse sech²xtanh²x dx 2.

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Q: DIFFERENTIAL EQUATION Find the differential Equation of the family of the curves described. Draw at ...

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Q: ·를 sin' X V cos x

A: This question is related to definite integration, we will solve it using given information. 

Q: Given cost and price (demand) functions C(q) = 100q + 43,000 and p(q) = - 2q + 880, what profit can ...

A: Given :cost price (demand) functions C(q)=100q+43000 andp(q)=-2q+880, company earn by selling 50 ite...

Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: Evaluate ! d(cos x – x)

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Q: The integral represents the volume of a solid. Describe the solid. 2nx' dx O The solid is obtained b...

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Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4 ...

A: Find the derivative of h(y).  Differentiate h with respect to y. 

Q: 2. y = log, 3x(x – 4) 3. y = x + 3 In x 4. y = x2 In x

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Q: The function f is shown below. What is the value of f(x) dæ? Write your answer in simplest form. Gra...

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Q: 2.2) Solve and explain the steps involved. (2+7a)e dr

A: In this question we have to solve Integration.

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: The integral in this exercise converges. Evaluate the integral without using a table. 40 xp. x² - 25...

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Q: Write out the form of the partial fraction decomposition of the function appearing in the integral: ...

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Q: Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + at

A: Given:To Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + atSince  we know that, number of independen...

Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: X-7y=-11 ---(1)  5x+ 2y = -18 ---(2)

A: Note:- As statement of problem is missing for given system of equations so we can solve system of eq...

Q: Use the associative property to express : 1 10 +. 5. 3 10 3. 1 2 10 3 (금+루) O. 10 7. 3 10 1 7. 3

A: Associative property  of addition . (A+B)+C =  A+(B+C)

Q: Consider the integral x²1 – 6x14 + 8x7 – 26 dx (x³ – 4x² + 3x)° (x+ – 81)² Enter a T or an F in each...

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Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? Ox =...

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Q: Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic rea...

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Q: Determine any relative min or max of the function. You will be provided a table on how to evaluate D...

A: To find the relative min or max of the given function. 

Q: Evaluate using substitution techniques

A: Given

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Q: Region R in xy-plane is bounded by the curve y = 9sin(x) and the x-axis, between the lines x = 0 and...

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Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

A: In this question we have to determine all intervals on which f is both decreasing and concave down.