Find all relative extrema of the function. Use the second derivative test to determine the extrema. f (x) = a?e-z Enter the value f" (2), rounded to the nearest hundredth, in the box and upload your work in the next question.

Q: Consider the function f(t) = 3 sec?(t) – 4t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.

Q: Given u(t) = (e',e-t). a) Find: (i) u'(t) (ii) u"(t) b) Find the unit tangent

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Q: 2Tx [e?n* + 23c] dx

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Q: Approximate the root of f(x) = x - 3 with the bisection method starting with the interval [1, 2].…

A: According to Bartleby's guidelines we are allowed to solve only 1 question at a time. Apologies for…

Q: -3x 4. Y= -3x

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: We have to find the parametric equation and the symmetric form of equation of the line passing…

Q: (c) Find parametric equations to represent the red line in the graph below. 10 (-2, 7) (6, 3) -5 10…

A: This is a problem related to equation of line. Based on the general formula of line equation we will…

Q: Given: -8 17 csce = O 17/15 -17/15 17/8 -17/8

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Q: Calculate the Maclaurin series expansion of x sec x. Give the first three terms.

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Q: Use the parametric equations of an ellipse, x = a cos(e), y = b sin(e), 0 se s 27, to find the area…

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Q: Given: -8 17 cote = %3D

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Q: 2. Given f'(x) =p find x-2)=" a) the values of all critical numbers b) intervals of increase and…

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Q: The base of a three-dimensional figure is bound by the semi-circle y = V9 x. Vertical cross sections…

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Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

A: Simplify the equation.

Q: S2(x* +1)e** dx . -5x t³ -9 -dt . 2t +3

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Q: Find the slope of the tangent line to the polar rer = 1/0 at 0 = T.

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Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: Consider the function f(r) 7x10 + 10r 10r 4. An antiderivative of f(x) is F(z) Ax" + Bx" + Cr + Dr'…

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Q: Find the radius and height of the right circular cylinder of largest volume that can be inscribed in…

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Q: 4. 1 8-x² 8-X2

A: See the details solution in below

Q: Perform each using the polar form of z. 1+iv3 2. (1+1)2 4.(1 – i)?(1+iv3) Final answer should be…

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Q: COn 8 Question 12 dx is equivalent to what trigonometric expression when solved using trigonometric…

A: Question no. 13 is not visible proper ,you can repost again

Q: ength of the curve 1 1 < x < 2. 6 10x3 +

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Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

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Q: nswer the following Truê ôr False! f(r) is an antiderivative of v(E), then f(x) + 8 is an…

A: We have to check the following

Q: Find the fourth degree Taylor polynomial, T (2), for f(z) at 4. f(x) = 5 In(r - 3) – 4 a) Find the…

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Q: A stellar object is emitting radiation at 1820 nm. A detector is capturing 7 x 10' photons per…

A: Please refer to the image below

Q: Find the dimensions of a rectangle with a perimeter of 140 feet that has the maximum area. The side…

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Q: F(x)=x+1/x Find the Point of inflection, All asymptotes and all local maximums and minimums?

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Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: dy 1+y+1

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Q: y" + y' + 2y = 0, y(0) = y'(0) = 0

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Q: 5. Which of the following is the solution to the equation below? 2 sin? æ – 1 = 0 x = 45 + 360k, x =…

A: Solve the following

Q: dx 4 2 +3

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Q: 2, 22, 23 5 67 8 * 3. Test the series

A: Write the series as summation and use ratio test .

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: Vector lies in the same plane if their scalar triple product is zero

Q: (a) The graph of a piecewise function, ƒ (x) is plotted in Figure 1. Discuss the continuity of f (x)…

A: Given

Q: V = 75(1.2)', where V is in dollars and t is the number of years since 1975. Find the rate, in…

A: The value of a particular rocking chair is well approximated by V=751.2t

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: The objective is to sketch the curve generated by the parametric equation with the arrow as t…

Q: 12x3 00 Find the power series for f(x) = in the form > an. (1 – x+)² n=1 Hint: First, find the power…

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Q: Find all solutions to the equation. 2 sin 0+/2 =0 Write your answer in radians in terms of t. TC…

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Q: 8)Suppose the total cost of a certain product is C(x) = 0.001 x2+ 5x + 300. The product can be sold…

A: Find your answer below

Q: e3x _e-3x Y = e3x +e-3x]

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Q: w³sec?xdx – (1 – 2w²tanx)dw = 0

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Q: Prove the following. (b) lim( Vn² +1 – n ") = 0 - (c) lim Vn? n) = } 1 2 ||

A: Prove the following limits

Q: A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming…

A: Ans= 25 ft  Go through the solution I have solved step by step

Q: 1 1. Let f (x) = x - 5, g (x) = V5 - x and h (x) = 2x 1 a) Determine the domain of f, g and h. b)…

A: We have to find the function

Q: 7. Two functions are defined as f (x) and g (x) = where x * 1. a) Find f (x) g (x). Simplify your…

A: We can solve the given question as follows:

Q: Find a polar equation in the form r= f(θ) of the ellipse with eccentricity e= 6/7 such that one of…

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