Find the limit as a number, ∞o, or -∞o. Otherwise enter DNE. lim [√(√An+1 = √an)] = [ 4n n→ ∞o

Q: Find all intervals on which the function f(x) = (x² − 3) e-ª is decreasing.

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Q: Evaluate the following indefinite integral. 19 / (22+4) de dx Note: Don't forget your C! And be sure…

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Q: = sin(x),0 ≤ x ≤ π

A: Given that the expression

Q: 19. Use Newton's Method to estimate the one real root of f(x)=x²+2x-2. Start with x = 1, and perform…

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Q: When solving the auxiliary equation associated with the differential equation 3y"+2y"=0 it is…

A: .

Q: 8. Find the linearization L(x) of f(x)=√√x² +9 at x = -4.

A: Given that the function

Q: For what value of a is the following function continuous at every x? f(x) = x²-30, x<10 x≥ 10 ax,…

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Q: k. y = ln x 1. m. y = y = 5 cos x + 8 lnx + 3x³ 3x¹+3x²+1 x

A: Given: y= ln(x)Solution: y= ln(x)Differentiating y with respect to x we have dydx= ddx(ln(x)) ⇒y′=1x

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above and…

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Q: Let g(z) = 6 Determine the most general indefinite integral of g. 1 6dz

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Q: Consider the following function. T 3 π f(x)=sinx, a ==, n=4, 0≤x≤: 6 a) Approximate f(x) by a Taylor…

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Q: Use the following function and its graph to answer (a) through (d) below. et f(x) = 6-x, x4. 2 .…

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Q: Express the function as a power series by first using partial fractions. f(x)= 2x+5 x2+5x+4

A: Given: f(x)=2x+5x2+5x+4let's first factor the denominator and then use partial fractions.The…

Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

A: To evaluate the following limits.

Q: 4-Z 4-z-2y k √ ₁² √²-²² ² -² -²y xyz²dx dy dz = 1 2 0 0 0

A: To solve for unknown.

Q: Find the second derivative of the following functions: a. f(x) = x5 + sin x b. f(x) = x² + == x c.…

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Q: At which of the value(s) of x below does f(x) = ²³² +5x² + 25x + 1 have a horizontal tangent line? O…

A: Given that, the function is .We need to find the value of x for which the given function has a…

Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -1, v(0) = -7,…

A: Given that u and v are function of x that are differentiable at x=0At  To find:we have to find the…

Q: Find ∫∫R(5x+2y)dAwhere R is the parallelogram with vertices (0,0), (-2,3), (5,-4), and (3,-1). Use…

A: We need to find the integral value of given data.

Q: Express your answer as a polynomial in standard form. ƒ(x) = x +11 2 g(x) = x² - 6x +2 Find:…

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Q: is it 3and -2 for A?

A: y=x2-6x+7

Q: The figure below shows the graph of a function over the closed interval [-1,2] y = f(x) OU

A: As we can see from the graph, the function has a very sharp turn at x=0So at x=0, the function is…

Q: 2 The decibel level, D, of sound is given by the equation 10 (1).» where I is the intensity of the…

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Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(2). f(x) g(x) = X = -x+ 2 2 _…

A: Given:

Q: y=√x, 0 ≤x≤ 81

A: Given that the expression

Q: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

A: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

Q: Find a simplified series representation of x²e4 answer = n

A: The given function is x2e4x.

Q: Let (a) Evaluate det1B 2 by expanding by the second row. (b) Evaluate det1B 2 by expanding by the…

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Q: Let g(2) = 42³ +7z7 Determine the most general indefinite integral of g. | (42³ + 7z") dz =

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Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

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Q: А = 1 1 1 3 4 -3 - 1 0 2 B || 8 -2 1 -3 1 0 - 4 1 1

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Q: Find the slope of the line tangent to the polar curve at the given point. 7x (-3- r= 6 sin 0; Select…

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Q: 06

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Q: logarithms. Express powers as factors. 1. A 50-mg sample of a radioactive substance decays to 34 mg…

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Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² + 3xy +…

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Q: Give the negations: All cars run on a gasoline

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Q: lim У-у-г уг -30+2 зу Уже

A: We have to findlimx→−2

Q: Suppose parametric equations for the line segment between (4, 2) and (4, - 2) have the form: [ x(t)…

A: The line segment between the points (4, 2) and (4, -2) has parametric equations,It is also given…

Q: Evaluate the given definite integral. [²e" 7 e" du t

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Q: (– ²/6) has exactly one point of inflection with a positive x-coordinate. What is the x-coordinate…

A: The given function is .The aim is to find the point of inflection.Definition:If  is an inflection…

Q: Thank you but I believe you are missing the square in the question the question is (4x^2 +3)^2 dx

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Q: Find the domain of f(x). f(x)=√x² + 9x - 8

A: Here we will find the domain of the given function on solving the quantity under root putting…

Q: Find the absolute minimum and absolute maximum of f(x, y) = 192x³ + y²(1 - 4x) on the triangle with…

A: Given function is Now, we have to find the absolute minimum and absolute maximum for the above…

Q: d. y = (x² + x + 1)15 sin(lnx) e. y = f. y = √√x³ + x² + x + 1

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: Two cylinders are given. The larger cylinder is a dilation of the smaller cylinder. Part A:…

A: Smaller length = 2mLarger length = 9mVolume of the smaller cylinder = 24 pi m3

Q: Find the limit of f(x) = lim f(x) = -5 9√x+x 3x-9 X→∞ (Simplify your answer.) as x approaches co.

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Q: g. y = tan x h. y = t+√√2t+√1-5t

A: To find the derivative of the following functions.

Q: Breathing is cyclic and a full respiratory cycle from the beginning of inhalation (t =0) to the end…

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Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

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