Find f'(x) and find the values(s) of x where f'(x) = 0. f(x)=(2x-27)(x²+60)

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A: given a function f(x)

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A: (a):  (c) (0,0), (6,-6)(b): -324,324(c): (E) Saddle point , Relative minimum Explanation:

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A:

Q: Evaluate fim x+

A: We will find the limit.

Q: 3) Evaluate the integral 00 a) √2° 1 x√√x²-4 dx b) S√ dx -1 x2-2x Π 4 xsinx c) Số cos3x dx

A: 3.a)

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A: The given function is As we knowThe function concaves up when The function concaves down when The…

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A: Question No. (4): A company wishes to manufacture  a box with volume 36 ft3, has an open top, and is…

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A:

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Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: 2x2​+3x−3ln(x)​+328ln(x−3)​Explanation:

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A: The objective of this question is to find the distance between airports A and C. This can be solved…

Q: The diagram below illustrates the number of moose (red curve) and wolves (blue curve) between 1960…

A: The diagram below illustrates the number of moose (red curve) and wolves (blue curve) between 1960…

Q: Write out the general form of the partial fraction decomposition of the function (as in Example 7).…

A:

Q: Use undetermined coefficients to find the particular solution to y"-3y-10y=4e³t Yp(t) =

A:

Q: Please don't provide handwritten solution ...

A: Therefore, the required solution is y=3.39−e3.39x​+6.36728745549863034The table is…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Global maximum at (2.5, 5) of 31 Global minimum at (0, 0) of 21Explanation: Given that, maximum : In…

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A: Note- As per company guidelines for a question posted we are allowed to solve first three sub parts…

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A:

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A:

Q: Sales Analysis The total sales S (in thousands) of a video game are given by S(t) = at² t2 +b' where…

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A: The given differential equation

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A: To find the derivative of the following function from the first principle.

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Q: Find the derivative of the function. Simplify where possible.

A: The answer is showing step by step. Learn with carefully.Explanation:Step 1: Step 2: Step 3:

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A: 201.6°F113.75°FThe soup cool off more quickly over the next 20 minutes.Explanation:Step 1: Average…

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A: Given that the series is

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A:

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Q: I do have the answer I just need the steps please

A: Answer in detailed belowm   In case of doubts please do ask in comments Explanation:Step 1:   Step…

Q: ns; (fog)(x) = F(x) or (go f)(x) = F(x) Refer to the graphs of the functions f, g, and h to compute…

A: a.f[g(3)]=1b.g[f(3)]=−3c.f[h(3)]=−1d.(h∘g)(2)=2e.h{f[g(3)]}=2f.(g∘f∘h∘f)(2)=−3Explanation:Given the…

Q: The estimated resale value R (in dollars) of a company car after t years is given by R(t)=23,806…

A: The estimated resale value  of a company car after  years is given by .We have to find the rate of…

Q: dy Find by implicit differentiation da 5+3x=sin(xy)

A: 5+3x=sin⁡(xy6)ddx(5+3x)=ddxsin⁡(xy6)

Q: Theorem: Quotient Rule If f(x) = T(x) B(x) is the quotient of differentiable functions, then. f'(x)…

A:

Q: b) x--3 and x-3

A: Given that the equation

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A: We have graphs of f and f'We have to identify curve of f and f'

Q: what is the volume of the solid formed by revolving y = 13sinx*cosx between x=0 to x=pi/2

A: Answer written in explanation Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 3. Verify the linear approximation at (0,0). 1 (a) ≈x+y1 x+1 (b) e cos(xy) = x + 1

A: To verify the linear approximation at

Q: Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the…

A: Hence the required answer is given belowExplanation:Step 1: Step 2: Step 3: Step 4:

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A: ​The required volume is, V=368π​ unit3​Explanation:Step 1:​Region is bounded by…

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A:

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A: explained below Explanation:Step 1:(a) Construct a linear demand function for your website and hence…

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A: In this question, we need to solve this problem.

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Q: the the point (-1,2,256) of the normal line to the Surface 2 = 2xy + a -t + 256.

A: X=-1024t -1 Y= 896t+2Z= -t+256Explanation:Step 1:-- Step 2: Step 3: Step 4:

Q: 2. Find the volume of the solid whose base is the region bounded by the circle x² + y² = 9 and whose…

A: Volume = 62.35Explanation:Explanation:

Q: Calculate the linearization L of f(x) = at x=1. Express your answer in terms of e and x. L(x)=

A: To calculate the linearization of .