Suppose f is continuous on [5,18] and '14 3) [1²₁ /14 (a) 5 (b) 1) fort f(t) dt = 18 (c) √ ¹8: (d) f(t) dt = (e) '18 › [¹⁰/ 3f(t) dt = f(t) + 3 dt = 14 66²4 f(t) dt + 18 [28 FE 14 f(t) dt = 18 6 f(t) dt = -6. Compute each of the following values (f) The average value of f(x) on [5.18] =

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A: This question can be solved by using the concept of integration by parts.

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Q: PLS HELP ASAP ON ALL

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Q: 4 Suppose that f'(x) = 2x for all x a) Find f(5) if f(0) = 0. b) Find f(5) if f(4) = 14. c) Find…

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A: find the derivative

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Q: 15) Suppose that L {f(t)} = F(s) Then L{-te* f(t)} Corresponds to: a) F'(s – 5) b) –F'(s – 5) c)…

A:

Q: -3t k Compute the first, second, and third derivatives of r(t) = 3ti + 5 In(t)j + 5e

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A: Given,

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A: This is a application of integration problem

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Q: FIND a-b+c GIVEN THE POWER SFRIES दि जला र (x+3) WITH: A =(0)'r,!-a(0)r ; ROC: Ra and IOC:(b;c)N

A: The given power series is: ∑n=0∞-1n4nx+3n