K Let f(x) be a differentiable function such that f(4) = 3 and f'(4) = 5. If g(x)=x².f(x), then find g'(4). Give the exact value. NO DECIMALS. g'(4) =

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A: GivenP(A)=0.8P(B)=0.1A and B are mutually exclusive   We are required to findP[(A∪B)']

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Q: more than one option is the answer.

A: fx=x2-x-20x-5,x≠510,x=5 Also, we have computed that, limx→5fx=9 Let's verify each option one by one.

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A: The formula of arc length is given as,s=∫0t|v(t)|dtAndL=∫abv(t)dt

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A: The given function is f(x)=7-2x We have to find the limh→0f(4+h)-f(4)h.

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A: Answer: As per the guidelines we can solve only first three subparts, so post other parts…

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A: Given: Suppose that a is a real number. The graph of y=f(x) has a vertical asymptote at x=a…

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A: f(x)=x4+122x2+121we know -1=i

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A: Given: let the polyhedron P be defined by  x1+x2+x4≥2-x1+2x2≥43x2-x3≤7x3+x4≥-1x2≥0x3≥0

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A: Correct option is D.

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A: it doesn't mean that limit is always infinity.

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Q: If f is a function that is continuous at x = 5 and x = 7, then f is continuous at x = 6. True False

A: Topic - Continuity We are given that f is continuous at x=5 and x=7 , then f is continuous at x=6.