Let f (2) = Then Res(f(z))|z=0 3z-4 %3D z2-z %3D O 3 None of these

Q: Which cube root function is represented by the graph? y 41 1 4-3-2 O1 2 3 4 x -4 432 234

A: A.  f(x)=x+43+2         On putting value x=1 we will get, f(1)=1+43+2…

Q: A new fast-food firm predicts that the number of franchises for Its products will grow at the rate…

A: We use substitution method to solve these integration

Q: Let f(r) = ([r] – 1)² and g(x) = . Then the domain of go f is %3D %3D Select one: O (-00,0) OR\{1} O…

A: To find the domain of gof forf(x)=x-12g(x)=1x

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

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Q: 10x2 – 9 x5 + 1 Let f (x) Then %3D f'(9) =

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Q: Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following. %3D a. f(g(-3)) b.…

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Q: Let f(x) = x and g(x) = 6x – 15. %3D Find the following: (a) f(3) + g(3) = i %3D (b) f(3) g(3) = i…

A: topic - functions

Q: Let f (x) = 2:c – 7 and 9 (x) = 4.x + 3_Find (g o f)(3). %3D -1 55 7 49

A: Given f(x) = 2x - 7 and g(x) = -4x+ 3 We need to find (g o f)(3). The solution is given below.

Q: Let f(x) = 1 and g(x) + 6. %3D %3D Then (f o g)(x) = (go f)(x) = |3D 4)

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Q: The domain of the function y f(x) from the given graph is y=f(x) 0. (a) (-4,6) (b) [-4,6] (c) [-2,3]…

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Q: f(x) – f(4) - Evaluate . where f(x) = Vr for %3D X - 4 x = 5, 4.5, and 4.1. Round results to three…

A: Substitute x=4, x=5, x=4.5 and x=4.1 in f(x)=x to find f(4), f(5), f(4.5) and f(4.1) respectively.…

Q: f(x) : [x +2 ifx<1 %3D 15 if x 21

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Q: Thank you

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Q: Question 6. ) Set f(x) = 2x2 – 3x + 2 and g(x) = x - 3. %3D a. Rewrite (f o g)(x) as ax2 + bx + c,…

A: →For f∘gx, replace x by g(x) in f(x).→For g∘fx, replace x by f(x) in g(x).

Q: Linearize f(x) = (x2 - 3x + 3)2.1 near x = 3. %3D

A: Consider the function  f(x)=x2−3x+32.1

Q: f. Use a graphing utility (Desmos is recommended) to graph V. Find the x-value that maximizes the…

A: f) We have used DESMOS as the graphing utility to plot V=x2(61-4x) in [0,15.25]. The value of x…

Q: If g(z) = f(z² –72) and f'(-6) =2, %3D then g'(1)= (A) -19 (B) -5 (C) 2 (D) -10 (E)-38

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Q: Let f(r) = 1+VI-1, then f-'(x)= Select one: O a. (z – 1)2 +1 O b. (r- 1)2- 1 | O c. (r+1)? – 1 С. O…

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Q: is given by: If f(x, y) then 8(8x-4y) '

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Q: dy - y - 5x*-3x2 + 2x = 0 dx

A: Option D) None of the choices

Q: What is (fo g)(-1) if f(x) = 2x + 3 and g(x) = ? %3D O (f o g)(-1) = O (f o g)(-1) = 2; O (fog)(-1)…

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Q: If f (x) dx =-4 and h (x) dx = 7, which of the following must be true? 1. f (x) <h (x) for all a <x…

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Q: dy2 2(3+ x2 dy – xy)/x³ %3D | dx dx Y(x)=Ax+Bx²+Cx³ Option 1 Y(x)=Ax+Bx2+1/x

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Q: Use Runga-Kutta 4 to determine y(1.3) for f(r, y) = with y(1)%3D 1

A: Here we have to use Runga Kutta 4 method

Q: Which of the following lines pass through the point (7, 5) and is perpendicular to the line X + 3y =…

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Q: 1 =(0) = - 2, y(0) = 40 %3D -125 14 - æ(t) = %3D y(t) = %3D

A: