Let Calculate f(x) = ² Σ K=O k f(K) 2 k! where K=0,1₁.. X>0

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: Suppose that a continuous function g satisfies: | 9(2)de = 12 and | 9(20)da = 24. Find og(3x²)dx.

A: Given that, ∫03gxdx=12, ∫06g2xdx=24 Let  ∫06g2xdx=24 Apply the substitution u = 2x to find this…

Q: Evaluate the function f(x) = e* + In (x + 7) at c, where –7 < c < 6.

A: Given information : f(x)=ex+ln(x+7) 'c' lies between -7 and 6

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: 2. Compute L4, R₁ and T₁ for the function f(x) = 2 on interval [1, 2]. Verify result from question…

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Q: Calculate Rs for f(x) = 6 - x over ver [3,5]. R8 IE

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Q: Define f(8) in a way that extends f(s) = 3 s - 512 S s²-64 2 to be continuous at s = 8.

A: The objective of the question is to determine the value of " f(8).

Q: Graph the function h: Z→Z, defined by h(x)=| 3

A: Graph of the function

Q: Find the first derivative of g(x) = 9eª sin(x²). g'(x) =

A: The given function .The aim is to find the derivative of the function.Note: Since you have posted…

Q: Suppose that f (x) is a continuous function, f(-1) = 6, f(2) = and f(x)dx: = -3 = T. Evaluate the…

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Q: Suppose that f'(t)-29 (b)31 (e)none of these

A: Given: Suppose that f'(t)&lt;3 for all t in R and f(3)=1. To find: f(-7)  Lagrange’s mean value…

Q: 1. Function f is continuous on (-00,00). Find constant k. f(x) [kx² + 2x x-kx if x ≥ 2 if x < 2

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Q: Evaluate L{f(t)} for if 0 < t,t + 1,t # 2 if t = 1 1 (i) f(t) = 3 -3 ift = 2 (ii) f(t) = 1 2t +1 if…

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Q: Let 1 f(x) = x + 15 f (2) = Submit Question

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Q: Find the value of the constant c so the function f is continuous on (-∞, ∞) where f(y) - [cy +9 if y…

A: To find the value of the constant so that the function  is continuous on  where

Q: The graph of f is shown in the figure. 6. 4 х 14 -4 -6+ 2-

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Q: Let f(t) = 2t² for -4 < t <4 and extend periodically. Compute: f(1) = f(5) = f(-4.5) = f(-8)= f(12)…

A: Periodic function: A function is said to be periodic with period T if f(x+T)=f(x).

Q: 3t + 2 if t 5 4 t + 2

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