Evaluate the following piecewise function for x=-4 and x 8 x+1 ifx<4 f(x) x-2 ifx24 f(-4) = 4, f(8) = 7 f(-4)= -2, f(8) = 7 f-4) = -2, f(8) = 4 f-4) = 1, f(8)= 4 P. OO 0 0

Q: d the local max and min values of the function f(x)= 3x3 – 2x if it exists.

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Q: For the function Sx² - x x² – if x 1 ’ evaluate the left and right limits as x → 1.

A: We can make it easier for you.

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A: As there are multiple questions 13 is solved here.

Q: Evaluate the function for the given value. f(x)=8x-5 coub g(x)=x² -3x+4 1. f(1) conbou 6. g(1) 2.…

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A: We use chain rule

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Q: aluate the function for the given values of x.               -4|x|+7   for x5   1) f(-4)= 2) f(5)=…

A: Given that: f(x)=-4|x|+7,  for x&lt;-23x+2          ,  for -2&lt;x&lt;56,                   for…

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A: Given fx=-5x2+2x+7 and gx=x+1

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A: The given function is fx=14x2-34. Evaluate the differential of function at x=2.

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Q: onsider the function: h(x) = 5 for x ≤ -4  2x+ 6 for -4<x<2 5- x2 for x ≥ 2 (D) h(−1) (E) h(0)…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Find (f – 9)(x) if f(x) = -3a? + 2x – 3 and g(æ) = 2x2 – 3x + 4. O (f - 9)(x) = 5x² – 5x + 7 • (f –…

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Q: Given, f (x) = for æ + 3; f-1 (æ) x +2 x – 3 | Of-1 (x) x-1 3x+2 Of1 (x) = * Зх +2 x-1 x- 2 f-l (x)…

A: We have to find f^-1(x)

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A: We find Fourier coefficients then find required Fourier series.

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A: According to our guidelines , We can answer only first question. Kindly re-post other remaining…

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Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

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Q: [kx, if 0 sx <2 For the piecewise function fx) = {2k, if 2 <x < 4 k- x+ 5, if x + 4 determine which…

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Q: c. f(x) = (-1 if x 0 %3D

A: We need to find possible points of discontinuity.

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A: The given function is ef(x)=1+x2

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Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

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Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

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Q: Find f'(x). f(x) = (3x + 10)7 (1 − √) 3(3x + 10) (1 − √x)³ f'(x) = 21(3x + 10)6 (1-√) f'(x) = 7(3x +…

A: Given data÷ fx=3x+1071-x6 Find the first derivative f'x. Useful formula ddxxn=nxn-1…

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Q: if x + 3 Q3: Let f(x) = show that f(x)is continues at x 3 %3D ifx = 3

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A: First principle of derivative.

Q: Find the domain of the function. 21) if -6 sx<-3 f(x) = Ixl if -3 sx<6 if 6 sx s18

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.