L{e' f(t) + g(t)} = f (t) (S-1)4 . From the options below choose the correct expressions for and g(t). O O f(t) = sinh (3t), g(1) = 3t f(t) = tª, g(t) = 31313 f(t) = t³, g(t) = sin (31) + f(t) = e³¹, g(t) = cos (31) 3 (s² + 9)

Q: 1- I Given the functions f(x) = 3+ Vĩ, g(x) = x² – 3, h(x) = I - 3 5x – 1' %3D m(r) = find the…

A: The functions area given by fx = 3+xgx = x2-3hx = 1-x3x+5mx = x-35x-1 To evaluate: d f-hx   e g+hx…

Q: Q3) Find g(f(x)) if you know that g(x) = sin(x² – 1), f(x) = cot(x²) at x = 2

A: Given,          gx=sinx2-1 , fx=cotx2 at x=2.

Q: An object moves along the x-axis with velocity given by v(t) cos(t) m/s || Suppose that the object's…

A:

Q: f(x) = cos(√x) + 2 The slope of the tangent line to the curve y = f(x) at the point where x = 4 is A…

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Q: Example Find F[e¬t sin(w.t) u(t)]

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Q: 13x Find the derivative of the function y = 2 tan¬1 (5x ). (Use symbolic notation and fractions…

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Q: L{t sin t cos t} = 2s (A) (s²+4)2 -2s (B) (s²+4)² (C) 14) (s²+4)² -8 (s²+4)2 (E) (s²+4)²

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Q: pitch fork Bif X= rx+4x³ X=rx-ux³

A:

Q: Answer the following questions for the function f(x) = - 8x°- 36x +240x - 11. a. Find formulas for…

A: derivative

Q: Identify the function f (x). I (x) = (f (x))° = cos 2x

A: Given,          lx=fx6=cos62x

Q: The derivative F' (t) is graphed in the figure below. Given that F (0) = 12, calculate F(t) for t =…

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Q: r' (t) × r´ (t) to ||r' (1) × r´ (1)|| Use the formula B (1) = T (1) × N (t) to find B (t) , and…

A: Given that rt=sint-tcosti+cost+tsintj+48k. To find Binormal vector B(t).

Q: Find f'(t) and simplify your answer. cost f(t) = 1 - 2 sint

A: Given function is a quotient function and we proceed with finding the derivative of f/g…

Q: Find approximate value of the derivative for f(wo)-6f(x1)+3f(x2)+2f(x3) fr(x2) = f(x) = 10 sin(20æ?)…

A: Introduction: Numerical differentiation is the technique of obtaining the numerical value of a…

Q: Find the derivative of f(x) with respect to x ( 2. f(x) = x² sinx + 2x cos x - 2 sin x

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Q: Use the formula £{t^f(t)} (s) = (-1)^(((s)) to help determine the following the expressions. (a) L(t…

A: Solution:-

Q: 7. Find the second derivative given g(x) = sin x² A. 2 (cos x² - x sin x²) C. 2x cos x² 9 "(x) - 4 x…

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Q: . Consider f(x) = 4 - x2 , g(x) = Vx + 3, h(x) =. Evaluate the following. %3D 1. (f° g)(1) 2. (g•…

A: Explanation of the answer is as follows

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…

Q: Q2\Find T.E of the function f (x) = sin 2x when a =1?

A: Given that  f(x)=sin(2x) at a=1  To find the T.E

Q: 2) Find the derivative of the following function 1² +5 1² – 5 (a). f(x) = (b). f(x) = 2 tan '(x) –…

A:

Q: A2) Find the derivative of the following functions 1² + 3 z² – 3 (a). f(x) : (b). f(x) = 2 tan (x) –…

A: As per bartleby guidelines, we are supposed to solve only first three subparts if multiple subparts…

Q: 6, Suppose a,b,c cZ. If a b and a c, then a (b+ e). 7 Suppose a,be Zz. If a | b, then a |62. 8.…

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Q: The domain of f(r) =tan(x) is Select one: a. 2 2 O b. IR - + nn} O c. IR O d. R {nt}

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Q: 3) Find the following derivatives: a. y = 2x b. f(x) = 4x³10x² + 7x-15 c. g(x) = 3x(x² - 4)5 d. y =…

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Q: Find the derivative of h(x) = cos (2x3 - 5). %3D Provide your answer below: W(x)= O %3D

A: We will find the derivative of h(x) in the following step.

Q: Find f. f'(t) = sec(t)(sec(t) + tan(t)), = -1 2 (t) = tan(t) + sec(t) – 1- V2

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Q: 7. Find the second derivative given g(x) = sin x² A. 2(cos x? – x sin x?) B. 2(cos x? – 2x² sin x²)…

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