- Copy and complete the following table. g(x) f(x) (fo g) (x) 1 а. |x| ? 1 b. ? x + 1 с. ? d. V ?

Q: If f(x) = Vx + 2 and g(x) = does (fo g)(x) equal? which of the following 3 (b) Vx + 2 3 (a) + 2 (c)…

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Q: 14. Copy and complete the following table. g(x) f(x) (f° g)(x) 1 ? a. b. ? x + 1 c. ? d. Vi ?

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: Q34. If f'(0) = 4 and f(4) = 2 and f'(4) = k. Then find the value of k if f(x + y) = f(x) + f(y) V…

A: Let us consider a function f(x). Then using definition of derivative  f'(x)=limh→0f(x+h)-f(x)h

Q: f(x) = for x < for X D

A:

Q: 5. If F (m, n) = m² – n² Find: a). F( (;) b). F(x+y, x-y)

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Q: d If (f(x))=g(x) and dx (g(x)) = f(x²), theh dr2 d? ((r*) = Select one: 3x s(x*) a. b. C. d. g(x*)

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Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

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Q: (d) P(X > 4) = i (e) Determine x such that P(X < x) = 0.85. X = i

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Q: Given h(x) =x2 + 11 and g(x) = Vx- 2 evaluate the following: h(g(18))

A: Given expression :

Q: (a) P(X< 50) (c) P(40 < X< 60) (e) P(0<X<10) (b) P(X < 40) (d) P(X<0) (f) P(-10<X<10)

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Q: If f(t) = 103t-5 x e2t, determine the value(s) of t so that f'(t) = 0.

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Q: Given g(t) = (√2 − t) + 4t, evaluate c. g(t+h)-g(t)/h ; h does not equal 0

A: find g(t+h) by putting t+h at t

Q: (d) P(X 12) i (e) Determine x such that P(X <x) = 0.95.i

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Q: (B) 3 (C)2 If D* f (x) = 2f (x) D(f (x)), then (D*(x/nx)), is- (A) 4 BYA 16

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Q: Find P(X is lesser than or equal to 1, Y=1).

A: We have to find the P(X ≤ 1, Y = 1)

Q: f(x + h) – f(x) = -7ha? - lhe + 4h?x – 1h? – 7h³. Find f'(x).

A: Given

Q: Q1: Use third order Lagrange interpolation to Find the value of f(x) when x = 27

A: Given the data

Q: The domain of the function f(x, y) = In(2 – /x2 + y? ) is: x2 + y? 4

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Q: Find the value of a, b, c and d if f(x) is differentiable (asinx – bcosx + x f(x) = x2 + 3 4 > x > 0…

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Q: Given the following values f (x) and 2 = e and W = - 1 and A Determine the value of u2. A H2 B) H2 =…

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Q: Find f o g, g o f, and go g. f(x) = x², g(x) = x – 4 (a) fog (x – 4)? (b) gof – 4 (c) gog x – 8

A: Given: fx=x2,gx=x-4   Now find: (a) fog=fgx=fx-4=x-42 Therefore, fog=x-42

Q: Q5/ Let F(x) = x>0 is c.d.f, find the value of P(-3<x< 4). e.w

A: It is an important part of statistics. It is widely used.

Q: 3) Copy and complete the following table. g(x) f(x) (fo g) (x) |x| а. b. ? x - 1 x + 1 с. ? d. Va…

A:

Q: Given f(x) = x2 + 2 Find value(s) of x that give y a value of 11

A: Given that y or f(x)=11We will plug f(x)=11 and solve for x.

Q: Ⓒ find the root of f(x) = (2-x) e such that If cast < 1x20=6 ²*²_1 use No N.P.M.

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Q: 4. Determine whether the following statements are True or False? y = f(x)

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Q: For what value of x does the function g(x) = --x³ + 2x? convex? А. x> 1 В. x< 2 С. x<2 D. x 2 1

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Q: 3. For f(x) = x? – 2, find the following: a. f(x+h)

A: 3. a. Given Data: Function: f(x)=x2-2 For f(x+h), Substitute x+h for x in the given function.…

Q: Given h(x) = , find h-(-2). X+1 3 A - 1 B 1 m/2

A:

Q: Sxvī - x²dx= Select one: 3 (x? – 1)i + c а. 3 O b. 글 (x2-1) +c Oc 글(1-x7) +c С. O d. (x² – 1). +c O…

A:

Q: In(x – y) Find and sketch the domain of f(x,y) = 9- x² – y? . Vx? + y? – 4

A: The denominator should be non zero  The quantity inside the square root should be non-negative  The…

Q: Which is equal to (4) (x) given that g(x) =1 – 3x and h(x) = Vx? %3D Vx – 3xVx - 3xVx X. Option 1…

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Q: 2. If f(x)=x² – 5x find, a. f(y? + 1) b. f(z+1)-f(z-1)

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Q: K If f(x) = x² + 7x and g(x) Answer = 51 find g(f(n)). g(f(n)) IL

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Q: For what value of x is g(x) = 1? Ay 8- X= g(x) -2 6-

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Q: f(x) If y = then x2

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Q: Find f"(x). f(x) = (x? +8)® P'x) =

A: To find the derivative of the given function we use chain rule of differentiation and product rule…

Q: .If f(z) = 2° + 9 and g(z) = a+ 12, find [go f](-1). %3D

A: Givenf(x) = x3 +9, g(x) = x+12g ∘ f-1 = ?

Q: If f(x) = x – 5 and g(x) = x, find (go f)(x). %3D O a? + 5 Ox? – 5x + 25 O a? + 25 O x2 – 25 O x? –…

A: Given query is to find indicated composite function.

Q: Q1: If f(s, t) = s2t + In(t2- s) find the value of (f sst) a-

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Q: t-a, - 10<1< 3 f (x) = 12+ at, 3<t< 10

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Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9,where 0 <x< 4

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Q: Given f(x, y) = - 5a* + 4x?y? – 3y', find | f-(x, y) = fy(x, y) = faz (x, y) = fry (x, y) =

A: Please refer the attached image for complete solution.

Q: Find the point/s of inflection of f (x) = x³ + 3x? 24x + 5 none of the following O b. (0,5), (0, -5)…

A: Solution...

Q: Determine a formula of the form I f(x) dr wof (0) + wif(h) + w2 f" (0) + w3f"(h)

A: As nothing is mentioned so I m answering the first part please post the remaining part again to get…

Q: Find f(a), f(a+h), f(a+h)-f(a)/h h does not equal 0 f(x) = 5x2 + 8

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Q: Determine f (t), if F(S) is equal to: 6s? + s - 4 s(s – 1)(s + 2)

A: The given function F(s)=6s2+s-4s(s-1)(s+2)

Q: Q2 If g(x) = (x- 4)and h(x) = x + 4, find, (i) (hog). (ii) (g o h).

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Q: Find f'(x), f"(x), and f3) (x) for f(x) = - 5x? +4. .... %3D f"(x) =D

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Q: 2. If f (x) = 3x3 + 2, find a number c between a = -1 and b 2 such that | F(x)dx = f(c)(b – a) A. -…

A: