Given a, b E R. For which of the following f" (x) does y = f(x) have exactly one point of inflection? O f" (x) = (x – a)(x – b), a + b O f"(x) = (x – a)², a + 0 o f"(x) = #(x – a)(x – b), a ± b O fl"(x) = (x+ a)², a +0

Q: Given the image below, how do I find the work done by F along C?

A: Definition of work:

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Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

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Q: a. Suppose that ƒ(x) = g(x³) + eg(3x) where g' and g" exist. Find f' and f" in terms of g' and g".…

A: Here we have given a composition of a function as given below.

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A: Given that two functions:

Q: 2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1;…

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Q: 4. Find f(x), given: f"(x)=12x² – 18x, f(-1) = 6, f(2) = 3

A: Topic - function and integration

Q: Identify two functions, f and g, h(x) =tan(√x) such that h(x)=f(g(x)): ƒ(x)= g(x)=

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Q: 1 Consider f(x) x – 16 a. Compute: f(a) = b. Compute and simplify: f(a + h) = c. Compute and…

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