- Find f' where f is defined on [0, 1] as indicated: (a) f(x) = , VP + dt %3D 1 (b) f(x) = c cos dt t + 1 (c) f(x) = sin 12 dt 1 dt 13 (d) f(x) = %3D 1 + t inuous and & > 0. Define g(t) 「にfC %3D

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A: The given function is

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Q: what is f'of x

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Q: Find the equation of the line that passes tru the points (-1,-3) and (5,1)

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Q: (b) u = Vt² + 2vt3 - 1 tan I (d) y = sec I VE-1 (f) y = VI+1

A: Since you have asked multiple subpart, as per our guidelines we are supposed to answer only first 3…

Q: Prove tht the fallowing ralt U(1-k)-2U(t) + U(t + k) U" (t) =- with an enor of ortler k?, which is…

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Q: PLS HELP ASAP ON ALL

A: 4. Given:f(x)=π2Getting the derivative, we have:f′(x)=dxd​(π2)Since π is a constant, the derivative,…

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Q: Compute f'cx) of ×そ9 O f(x)- X-3 at X, = 3 の f(x)= x*+ ラメ+ タメ+1 at Xo=-2 f(x)= 4cos x + 2 sinx at X=…

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Q: Let F(a) = f(x*) and G(x) = (f(x))". You also know that a = 2, f(a) = 3, f'(a) = 15, f'(a*) = 2 |3D…

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Q: Compute N(0) if r(t)= and prove that T(0) and N(0) are orthogonal

A: Given rt=<t sin t+cos t,2t2,sin t -t cos y> Then vector is given by r→t=t sin t+cos…

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A: Since there is a mistake in third question i do first two question as per our company guidelines…

Q: Let f(x) = sin? (x). Define F(x) | f(t) dt. What is F" -) ?

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Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

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Q: Check the following functions if Piz) exist not and find f'(z) if exist: ,or D fcz) = 1Zit %3D

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: SOLVE BY LINEAR METHOD - y'- 3 X Y = x 3 cos (x)

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Q: , for x 1 Let f(x) be a function de fined by f(x)3= Discuss the contuniuty of f andf".

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Q: Suppose that f'is continubus, f(o)-o and f(5)= e So f'(x) sin?Cf(x) dx 4) Calculate

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Q: Let f(x) = x?sin (-) for x + 0 and f(0) = 0. c) Show that f'is not continuous at x = 0.

A: Given function  f(x)=x2 sin1x      for x≠00                  for x=0 we have to show that f' is not…

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Q: Suppose f is a function for which f' and f" continuous on 1, 3. You are given that f(1) = 4, f'(1) =…

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Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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Q: Let f(x) f'(x) = 2 cos x + 7 tan x 2 sin(x) + 7 sec²(x) 1' (5) = 6

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