Find f'(x) for the following function. Then find f'(4), f'(0), and f'(-3). -8 X f(x) =

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Q: Find the volume of the solid whose base is the semicircle y = √1 - x² where -1 ≤ x ≤ 1, and the…

A: To find:- Volume of solid whose base is the semicircle y=1-x2 where -1≤x≤1and the cross sections…

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A: To find the rate of increase of revenue.

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A: Need to find out the intercepts, critical points and point of inflection, vertical and horizontal…

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Q: ulate each of the following derivatives using only th vative. f(x) = x³, f'(2); g(x)=x+2, g'(a) (for…

A: Topic:- application of derivatives Note :- as per our guideline if more than three subparts posted…

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A: Find the value of k, if possible, at which  f(x)= 16-x2, x≤-4 kx2 , x>-4  is continuous…

Q: Given f(x, y) = sin(x + y) where x = f(x(s, t), y(s, t)) = f(x(s, t), y(s, t)) = Question Help:…

A: we need to find out the partial derivatives.

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A: we need to find out the differential equation for the given equation.

Q: Question If Select one: O True O False z=e-3 ln (2-y), əz and x = s² - 6t, y = t - s, then the value…

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Q: Let f(x) = tan ¹(cos(8x)) f'(x) = Question Help: Video Message instructor

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

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A: Let fx,y=x2+y2 And x=5 ,y=12

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A: The linear approximating polynomial of a function is given by, L(x) = f(a) + f'(a) (x - a) and the…

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Q: Evaluate all first and second partial derivatives of the following function. on() fxx fx 6 arcta =…

A: we will find the required.

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A: As per the rules we are supposed to answer the first question and rest others can be reposted.

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Q: Each year 5% of the inhabitants of a rural area move to the city. If the current population is…

A: QA)24000×100-54 Given  Current population of Rural area = 24000 Rate of movement (Rate of decrease)…

Q: 4) Given the piecewise function /(x) = 16 if x<2 if x 22 Find the area under the graph f(x) over…

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Q: (b) X 2 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)…

A: The given graph of f' is:

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Q: Evaluate the double integral D of (x - 3y2)dxdy D = [0,2] x [1,2]

A: To evaluate the given double integral

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A: We have to find the particular solution.

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A: Probablity to find the x≤r by binomial distribution is…

Q: 3) a) Given; A = 7 11 [4 2. (ii) (iii) B Use the above matrices to find the following: (i) BC ACT…

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Q: A box with a square base and open top must have a volume of 78732 cm³. We wish to find the…

A: let  length of base = x  height = y volume V = 78732

Q: Let A = O 2√6 00 O-2 02 Note that the quadratic formula = O -1 2 3 -2√6 Find the sum of all…

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Q: solve 85e^3x+1=15 using logarithms

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Q: Let z(x, y) = Calculate dr dt dy dt - e² sin(y) where x = t³ & y = 9nt. dz dz dy by first finding &…

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Q: Answer the following. Round your answers to the nearest hundredth. (a) Convert -213.7° to radian…

A: Let's convert degrees to radian.

Q: 2. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 8…

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