buty What are all values of x for which the function f defined by f(x) = (x² - 3)e-* is increasing? 44. (-) Jupq sht A. x < -1 and x > 3 B. -1

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Q: Find the limit of the function lim_4-√x²+7 X - 3

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A: since all questions are separate. According to bartleby guidelines  i need to solve the first one…

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Q: I. Integration by Parts. Evaluate the following integrals. 2. [ 2² si r² sin¹rdr

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Q: 2. Find the first 4 terms of Taylor series for the function (In x4) about x = 3 ?

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Q: B: Solve the following integrations: fx³e-2x¹ dx b-S. -dx x³ +10 c-f 3sec³x. tanx dx arks

A: a) ∫x3e-2x4dx Let x4=t Then, 4x3dx=dtOr, x3dx=dt4 By substitution,…

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Q: Method of undetermined coefficients y" -y = 3et ○ y = ₁₁e² + c₂e²x + ²√xex O y = c₁e¹ + c₂e²x + 3xe*…

A: Let's solve given diffrential equation.

Q: 18. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels…

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 4 + xy - x - 2y, D is the…

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Q: 77. an = (In 3 In 2) + (ln 4 − ln 3) + (ln 5 − ln 4) + - - + (In (n − 1) - ln (n − 2)) + (lnn − ln(n…

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Q: 12.) S³ S² (3x - 2y ¹) dy dx

A: according to company rules we can answer only the first question and rest can be reposted.

Q: Which of the following represents the region of the complex plane defined by |z+1-2i| > 3? (A) (C)…

A: A detailed solution is given below.

Q: Given f(x) below, find f'(x). Do not include "f'(x) =" in your answer. f(x) = (3x³ + 3x² - 4).x²

A: Given, f(x)=(3x3+3x2-4)x2

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A: Here we have to use Riemann right end sum

Q: In the following limit, identify f(x), a, and L. Select the correct answer below: O f(x) = -x + 2; a…

A: A detailed solution is given below

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A: Solved below.

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Q: 6. Find the (xy + 1) dx + x (x + 4y − 2) dy = 0 integrating factor and solve DE. In x + xy + 2y (y −…

A: A detailed solution is given below.

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

A: Given that,

Q: Let f(x, y) = ln(x + y − 1). The domain of f is {(x, y)| x + y > }.

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Q: 2. Find the square roots of the complex number: Z=3+4√7 i

A: Square root of complex number

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A: This is a basic application of derivative problem

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Q: 4. xy = COS (²) + +1

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -4 x intercepts…

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Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

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Q: 1 (√x² – 9)5 dx

A: To find the value of given indefinite integral.

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Q: Evaluate the following double integral by converting to polar coordinates where J 5xy 2x² + 2y² R…

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Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

Q: Solve the initial value problem y" + 10y' + 25y = 0, y(-1) = 6, y'(-1) = 6. y(t) =

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Q: Find the exact value. 3 S sin cos 2 0 x dx

A: Follow the procedure given below.

Q: on what intervak of x is the graoh is g(x) increasing? justify your reasoning

A: To determine the interval of x for which the graph of gx is increasing.

Q: let (5,-7) be a point on the terminal side of 0

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Q: Using lim 0-0 sin 0 0 =1, find the limit. lim 18x (cot x)(csc 9x) X-0

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Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

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Q: 10. Find the 87th derivative of y = cos(2x) at IT

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Q: Evaluate each integral. √x+Yy dz Jx - "X rx + y 0 Jx-y y dz dy Now evaluate J = = y dV, where E =…

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Q: Differentiate'. y=ın [(4-x)² (4x-5) (X²-17)] 2

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Q: SUBJECT: DIFFERENTIAL EQUATION TOPICS Growth/Decay  Newton's Law of Cooling/Heating Mixture Simple…

A: Given that, A tank has pure water flowing into it at 10 liters/min. The contents of the tank are…

Q: Determine the volume of the solid under z = 4xy + x² over the rectangle R= [1, 2] × [0, 3]. [Show…

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Q: J sin(lnx) dx

A: Let's solve given integration.

Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: here we have to find probability of given  total ticket = 19  we have to find two ticket both are…