Let (x* + 5)' a Let [(x* +5) x*dx = 12116. Then the value of a is ...

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A: Here we have to find whether the given sequence is converges or diverges.

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Q: : s ech[In cosx]tanx dx Evaluate: A None - 2 tan-1(cosx) + C 2 tan -1(e cosx) + C CoSx (D - 2 tan…

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Q: tan-(n) Consider the series 1+n² n=1 Show that the series satisfies the conditions for integral…

A: Integral Test:If f is a continuous, positive, and decreasing function of x on the infinite interval…

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Q: 5. If two chords in circle O, MN and XY, intersect at P then ZMPX = 2( MX + NY). 6. If two chords…

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Q: The value of Hhe limit lim Š I tan 40n bebow the graph f a fumctuon floc) lon't evaluate is ko Ghe…

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Q: a) Express f(x) = x2ex as a power series. b) Determine the 3rd degree Maclaurin polynomial of f. c)…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: Using partial fractions, we can rewrite the equation as 1 dN = dt rN 50000r - rN dN Or rN 50000r –rN…

A: Here we have to use the concept of integration.

Q: Directions: Evaluate the following integrals. Show complete soiution. INTEGRALS SOLUTION 1. fx*…

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Q: Let an = n> 1. In(2" + 1)' 1. Determine if the sequence {an}1 is convergent or divergent. 2.…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-21, -9)…

A: Given that       f(x) = 7(x-1)2/(x+9)

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A: The given series is: ∑n=1∞4+cos2n3n-n3

Q: Σ 2(3n 1) 6n + 4

A: The series is convergentsee below the calculation

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Q: Given the power series 2 2n A x(n + 3) n = 0 Use the technique that we covered in this unit to Shift…

A: To shift the index of the power series use the substitution n = R - 3

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Q: se the price demand equation to find E(p), the elasticity of demand. X=f(p)=95-0.5e^p

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Q: antn be the Taylor series of g about 0. - 0, 1, 2, ... 1 = 0, 1, 2, . . %D - the series is

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t+00 4t2 + 5' 8t (?, ?)

A: Find the limit

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Q: C. Determine the Laplace transform of the following function f(x) = x2 1. f(x) = e", a E R 2.

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Q: # f(x) = (2 )2 what is f'(-2)7 If f(x) = 2-2х 2 2x+2 %3D

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Q: 2. Evaluate the definite integral. 4 *7 – 7sin²e do 3cos?e

A: I=∫0π47-7sin2θ3 cos2θ dθ1-sin2θ= cos2θI=73∫0π4 1-sin2θcos2θdθI=73 ∫0π41 dθ

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A: Given that the initial amount of salt = 20 g    and rate of pumping in=3L/min  Let A be the amount…

Q: 6. Theorem A matrix A is nonsingular if and only if det(A)#0. Which of the following matrices are…

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A: I am attaching image so that you understand each and every step.

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Q: Use the Theorem of Pythagoras to find the length of the line segment y = 3xfrom (1,3) to (2,6), and…

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