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Q: The derivative of f(g(x)) equals f'(x) evaluated at multiplied by g'ʻ(x) evaluated at g(x) g'(x) f(x...

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Q: The sum of the series n2n+1 -1)" 9n+1(2n)!

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Q: Given the matrix 1 2 - 1 Find the Characteristic Equation and find its solutions (aka: eigenvalues)....

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Q: A sphere is expanding with time. Assume that the volume of the sphere is V = (4pi * r ^ 3)/3; r(t) =...

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Q: 2. f(x)= Vr² +x+1 %3D

A: Let's find. 

Q: The integral that represents the arc-length of the curve y = In x, xE [2,3] is: %3D 3 x2+1 dx. Vx2+1...

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Q: Suppose y = tan x. A. Find dy and Ay when r = 60° and Ar = 1°. B. Use your answer in part A to appro...

A: Given that y=tanxA. y=tanxdy=sec2xdxdydx=sec2x△y=dydx△x△y=sec2x△x△y=sec260°×1°△y=4×1°=4°

Q: The interval of convergence of the series CO (x - 4)" 2n n +4 n=0 is: (2, 6]. (2,6). [2, 6). A) B) C...

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Q: Find the sum of the series: 6 (n – 2)(n + 1) or conclude that it diverges. A) A B) C) D) 0.

A: option (C)  is correct see below the answer and calculation

Q: Determine f(x) so that cos(in?x) f(x) dx = sin (In²x) + C (A) (B 2 In x In x 2 In x (D

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Q: r(t) = t? i + 2t j, t = 1 Find the tangential and normal components of acceleration

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Q: Find the volume V of the solid obtained by rotating the region bounded by y = sin(x?) and the x-axis...

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Q: 4k? – 2k + 6 8k7 + k – 8 O The series converges. O The series diverges.

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Q: A rectangular plot of farmland will be bounded on one side by dimensions? river and on the other thr...

A:  We need to find area and dimensions.

Q: Calculate the accumulated amount of end-of-month payments of $8,500 made at 4.21% compounded quarter...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 4n? + 8n +7 а, —...

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Q: | fdy dx f(x, y) ds = " f (x(1), y(1), dt dt

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Q: Write the improper integral as a limit of definite integrals, or as a sum of limits of definite inte...

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Q: An investment of $5000 with Barnes bank earns a 1.3% APR compounded monthly. a.how much is the inve...

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Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your convenience...

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Q: Given the differential equations functions f(x) and g(x), and their derivatives in the table below, ...

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Q: Determine whether the alternating series converges. 7ln k (- 1)*- k k=3 O The series converges. O Th...

A: We have to check weather the given series is convergent or divergent.

Q: 2e* Evaluate: Jo 2ex-1 dx. A) B) 1 C) D) 1. E) The integral diverges. O A)

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Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bombard...

A: Given query is to find the age of the parchment.

Q: Find the first six terms of the sequence, starting with n = 1. an = 6 + (−1)n for n ≥ 1

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Q: The velocity v of a point moving along a straight line as a function of the time t [in seconds], is ...

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Q: The data in the following table shows the outcomes of guilty and not-guilty pleas in 1058 criminal c...

A: topic - prabability

Q: 5+ 4 -5 \-4 -3 -2 -1 1 2 3 4 5 -3 -4 The function graphed above is: Increasing on the interval(s) De...

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Q: 2+1 Consider f (x) = 2-2 A. Explain why the Mean Value Theorem cannot be applied to f (r) on the int...

A: Given that the function is            f(x) = (x+1)/(x-2)      

Q: Given the matrix 2 4 Find the Characteristic Equation and find its solutions (aka: eigenvalues). A R...

A: Solution: Let A=24-17 The eigenvalues of A are the roots of the characteristic equation A-RI=0

Q: L{f(t)g(t)} = L{f(t)}L{g(t)}, where both f and g are continuous and of exponential order. True False

A: We have to find the reason

Q: 3. Decide if the following improper integrals converge or diverge. dx (a) x2 + 4 (b) xe" dr da (c) V...

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Q: Use the formula for the binomial series: mm-1)2 ** (1+x)" = 1+ mx + m( m1)---(m-k+1), k! + ... 1+ £=...

A: The given expression  1+x8

Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p =40 − 4...

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Q: Raggs, Ltd, a clothing fim, determines that in order to sell x suits, the price per suit must be p= ...

A: Find your answer below 

Q: B) Graph the trigonometric function (y = 6 cot x) and find the domain and range and period %3D of it...

A: We will graph the trigonometric function. 

Q: Find the derivative of the function. y = xe¬x/ y' = %3D

A: ddxxe-x7  

Q: Use the formula for the binomial series: m(m-1)..(m-k+1). k! m(m-1) (1+ x)" = 1 + mx + oDx? + ... + ...

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Q: Question A potato is launched vertically upward with an initial velocity of 136 ft/s from a potato g...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: r(5 – 2 In |In|3x|) x In |3x| Given: dx.what is an appropriate formula? (A © -2 fu du © -Jua (B O 2 ...

A: Topic:- integration by substitution   

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

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Q: 6. In the peer review, you were asked to come up with an explicit formula for f(K„). That is, how ma...

A: To destroy all Hamilton cycle it is enough to make degree of any vertex one.   Hamilton cycle means ...

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the grap...

A: You can use disk method here to find the volume of revolution.  ⊙ The volume of rotation of y =f(x) ...

Q: e3x dX be given. If U= e* + 1, then the resulting integral is J f(u) du. compute f(5). ex + 1 Let 3 ...

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Q: The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equ...

A: To solve this question we need to apply the concept of maxima and minima.

Q: Let C be the curve y = x + In x for 1<x < 4. (a) Set up, but do NOT evaluate, a definite integral fo...

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Q: I. Find the derivative of the following functions. 5. f(x) = 5* x5

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Q: Given the matrix 1

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