1 Use the Cauchy's integral test to show that Σ diverges n. In n. In In n n=2

Q: dx Given: - 06-2x. Using u-substitution and transforming the integrand, find du. A 14e2xdx B 18e-2xd...

A: Given:  ∫dx7-9e-2x To Find: By using u‐substitution and transforming the integrand, to find du.  

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: The radius of a right circular cone is increasing at the rate of 6 cm/sec while its altitude is decr...

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Q: Determine the point on the hyperbola -8 x2 + 3 y? = 10 closest to the point (4, 0). 15 10 5 -5 -10 -...

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Q: A company that manufactures small canoes has a fixed cost of $20,000. It costs $100 to produce each ...

A: Follow the procedure given below.

Q: a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a par...

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Q: Use technology to maximize the following. You may round answers to 2 decimal places if desired. Maxi...

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Q: Question 10 cot (2x) Evaluate the integral Vcot (2x)- 15 cse (2x) A) --Arcsec 4 4 cot (2x) B) Arcsec...

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Q: Find the solution of the following Differential Equations 2) (xdy – ydx)/x² = 4) 2.x In(y)dx+ yx'dy ...

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Q: 3) A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h0 f(...

A: Given: f(x)=x3

Q: 4. In selecting a price for a product using differential analysis, which of the following de should ...

A: ANSWER: B. The price that will result in the greatest total contribution margin, assuming fixes are ...

Q: Differ entiare Y = \og (coc V; ) Ditterentiare り; x& cos cos"s

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Q: tan x 2. (a) lim e →号一 (b) lim sin (tanh 3x) エ→十0

A: limx→π2-etanx

Q: dx The integral where u= f(x) and for some constant, k. Compute (2). reduces to ex + 1 e2 +1 A e? e ...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) = %3D MastarIt

A: Given

Q: Express the repeating decimal as a fraction. 0.4713 43 43 43...

A: In this question we have to express the repeating decimal as a fraction.

Q: 7. What is dx (x six(x)?

A: Since you have asked multiple questions in a single request we would be answering only the first (7t...

Q: 6 du Consider dx. Transforming the integrand, the result will be where k is a constant. What is u an...

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Q: 10" (2n)!

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Q: 3 3 x cosx dx -3

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Q: Consider the following sequence: 5" {an} = n=1 An+1 Use the ratio to show that the given sequence {a...

A: Given sequence an=5n2n2n=1+∞

Q: 15. Scott Fallstrom once Epoke with his kids on the first day of the month of April about allowances...

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Q: kt Use the exponential decay model, A= A, e k, to solve the following. The half-life of a certain su...

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Q: Using the "add drawing" tool, sketch the graph of the following, showing any points where the graph ...

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Q: Determine whether the series converges. k=1

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Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

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

A: Ratio Test :  Suppose ∑ak be an series and            ρ = limk→∞ ak+1ak , then(i)  If ρ &lt;1 , then...

Q: Use the Squeeze Theorem to evaluate lim sin(tan r) sech(secr). ес

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Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² - 2...

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Q: The graph shown below is f(x) = x2. If g(x) = f(t)d t, find g(3). AY 8 6+ 21 X 4 O g(3) = 9 O g(3) =...

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Q: Use the limit comparison test to determine whether the series converges. 7h +5 The series converges ...

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Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3/x - 2x 3 (A) u...

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Q: f(x) = 3√3x^2 + x + 1  take note: fuction of x is cube root of 3x^2 + x + 1 (a.) the critical numb...

A: As per bartleby guidelines we only give first three suparts  question answer.

Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log , 7x² 5. y = - 5 log , (1...

A: As per our guideline we solve only first three parts

Q: entences. 5k + 7k +1 3k* +8k? +9 -). az

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

Q: Given the differential equation y" – 2xy' + 5y = 0. Determine the first three nonzero terms in each ...

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (2), Q(5, 6)...

A: Distance between the points P(x1,y1) and Q(x2,y2) , D = (x2-x1)2+(y2-y1)2 .

Q: 4. Convert SInciag) dA. aver. the region.<xyke. 2 2. .... to..pola.form. nd. then.evaluate.it.. 1/2 ...

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Q: d) If the coefficients are rounded off of - 0.31x + 2.73 find the absolute and relative in y x + 0.3...

A: Find absolute and relative in y

Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0,35 ...

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Q: Question 1: Differentiate the functions. 3 a) f(x) = 1– 5x +x7 b) f(x) = (x³ + 4)²

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Q: x2 dx. Which of the following options is correct? 00 Consider 9+x6 00 Arcsin 9. + lim - Arcsin 3 A l...

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Q: sin 3x Given: -dx What is the appropriate formula to find the integral? cos? (3x) (4-3 sec 3x) du (A...

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Q: (d) The function k(x)is defined as follow: 3 x+ 17 -- 4 k(x) = { 2, x =1 5|x-1| x² -1 x>1 Discuss th...

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Q: х — 2 1. f(x) (2? — х + 1)2

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Q: The area of the rectangular piece of cardboard shown below is 209 square inches. The cardboard is us...

A: Given problem:- The area of the rectangular piece of cardboard shown below is 209 square inches. The...

Q: sin 3x Given: -dx_what is the appropriate formula to find the integral?- cos2(3x) (4-3 sec 3x) A du ...

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Q: Use substitution to evaluate the integral in terms of f (x), assuming f (x) is never zero and f' (x)...

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Q: Question 14 3r dx be given. If u=e+2, then the resulting integral is ex+2 du. Compute f (3). Let A n...

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