Asume that a function Fis defined by F(z)- 21+ 2 r. Then. F'(2) is given by (A) F(2)-4V3 (B) F(2)- (C) F'(2)= 4 D) F(2) = Sv %3D E) F'(2) F) F'(2) = SV3 OF OD DE OB DA

Q: MTH 32 (16) Show that f is one-to-onc. Find (f-¹)'(a). Calculate f-¹. Find the domain and range for…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: given F(t) = e^2t - 8/ 1-t

Q: Differentiate the function f(t) = t^3 − it^2 when t = 2

A: Here, f(t)=t3-it2⇒f'(t)=3t2-i(2t)⇒f'(t)=3t2-2ti

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Q: If f(t)=(t^2+4t+3)(5t^2+6). find f('t) and f'(3)

A: Given: f(t)=(t^2+4t+3)(5t^2+6) find f('t) and f'(3) = ?

Q: If f(q)  = 50 + 50q gives profit when selling q units, and g(t) = t^2 - 12t + 1 gives the quantity…

A: Given: f ( q ) = 50 + 50 q , where f ( q )  is the profit on selling q units. g ( t ) = t 2 – 12 t +…

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Q: 4x2 +3x + If f(x) f'(z) - f'(3) =

A: fx=4x2+3x+2xTo find f'x and f'3

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Q: Assame that fis a cme-to-one function. (2) If F(6) – 17, what is f(17)? (b) IfF (3) - 2, what is…

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Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: 3) a) Find the real and imaginary parts of the following functions: ^) f(2)= ²² +₁ Z-1 2) f(z) = 3z²…

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Q: Suppose that S(m)3(4#-4)*(32+ 1). Find f'(#), and then evaluate f' at # = 1 and # = -1 (1)= 1(-1)=

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Q: Q1/ Find f-1(x) , identify the domain & range of f-1(x), then show that f(f-"(x)) = f"(f(x)) = x for…

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Q: Find the derivate of the function: a) • f(x) = 5x + 4 f'(c) = 2 d) • f(x) = (5x²³²-4) (8X+S) b)•…

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Q: Let f(x) ƒ'(x) = ƒ'(3) = = √2x² + 4x + 3

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Q: Given f(x) = 18 - 9x^3 Evaluate the two bellow

A: Known fact: For any invertible function, it is true that f∘f-1x=f-1∘fx=x for all x.

Q: Let f(x) = 2x³ + 1. a) Find f(x+h): 2(x+h)³ +1 b) Find f(x + h) − ƒ(x): h(6h² +6xh+: 2h²) c)…

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