1. True or False. T F L; (cosx – sec x cot x + 2x7 + 4)dx = 2 f(cos x + 4)dx T. F If f'(8) exist then lim f(x) = f(8) x→8 T F If f(1) = f(4), then there is a c E (1,4) such that f'(c) = 0 (3π/4 Jn/4 T F Le sec? x dx = tan x | Зл /4 = -1-1= -2 T/4 F If f(5) is undefined, then lim f (x) does not exist. x+5 T

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A:

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Q: The price of gas in a town I visited in France was 1.75 Euros per liter. Convert this to dollars per…

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Q: (4) Find the derivative of f(x)= tanx+5

A:

Q: Find all horizontal and vertical asymptote(s) that the function f(r) = e'/= cos| (4) might have.

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A:

Q: 1. Sketch a function f(x) with the following properties: • f'(x) > 0 and f"(x) = 0, for x 2

A: As you posted multiple question , I need to solve only first question.

Q: S sec" (0) tan" (0) do is u = tan(0)

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A: topic - functions

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A: we have to find domain

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A:

Q: b. Determine if the lim f(x) exists, if f(x) is defined as follows: X4 12x + 3, 5x-9, x < 4 x 24…

A: Both question are solved as, follow

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A:

Q: dy 1- Which one is correct ? The Y of ex?tanx a) (x2 sec?x tanx + 2x tanx) b) (x² sec?x + 2x…

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Q: 27: let f(x) = tan(x)+ sec(x) find f"(x)

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

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A: Find the derivative

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A: We know thatddxtan-1x=11+x2

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Q: C) It is given that f(r) = tan¯*(1 +x). (i) Find f(0) and f '(0), and show that f "(0) =

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.