Suppose that the functions u and w are defined as follows. u(x) = -x-1 w (x)=x²-2 Find the following. (wou) (4) = (uw)(4)= 0° 0/6 X S

Q: j Find y as a function of æ if a?y" – 9xy' + 25y = xº, (1) — 2, У(1) — -5. y =

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Q: Find the indicated value of the function f(x.y.z) = 3x - 5y? + 9z° - 6. f(9, – 3,1) f(9, - 3,1) = O

A: f(x,y,z)=3x-5y2+9z3-6f(9,-3,1)=3×9-5×((-3)2)+9(13)-6f(9,-3,1)=27-45+9-6f(9,-3,1)=36-51f(9,-3,1)=-15

Q: 2. Consider the functions f (x) 1 = - and g(x) = x² – 4 a) Let h(x) = (f ° g)(x). What is h(x)? b)…

A: Given query is to find the composite function and it's domain.

Q: Which of the following pair of functions linearly independent

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Q: Find S° g)(x) and write the domain in interval notation. e) - V2 -x 16

A: f(x) = 3/(x2-16) and g(x) = √(2-x)

Q: Q1. (а) Sketch the graphs and find the domain and range of the following functions: Coi () у 3D Vx —…

A: Range and domain of given graph is given : y= sqrt(x-5)  y = 1/(x-2)

Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: . Determine the derivative of the following complex functions: f(z) = (z³ + 3z²)³at z = 2i b. Item…

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Q: Find the value of C if f ′ (x) = 2x2 and f (4) = 5

A: Given,    f ′ (x) = 2x2 and f (4) = 5

Q: 8. For the function y = e* + sinx: a. Determine y', y",y",y^),y(5), y(6). b. Describe the pattern…

A: We have to find the differentiations of the give function and find y101.

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

A: Just I have used the definition of composition of two functions, and using given functions calculate…

Q: 9. Find f°(x) given f(x) = 7(3x – 4)* + 5ex

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Q: Find the derivative of the function. f(t) = (7t² - 4t + 1)3/2 21t – 6 f 't) = 7? – 41+ 1)² (72 – 4t…

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Q: Find f′(x) and f′(c). Function f(x) = x cos x Value of c = /4

A: The given function f(x) - f(x) = x cosxDifferentiation on both sides with respect to 'x' to get the…

Q: [4] Let f(x) = -p³ Position to find p2, P3, and p4. cos x and po = -1, pi = 0. Use the Method of…

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Q: 49y" — 42y + 5y = 0, and - y(4) = 4, y'(4) = 1. y =

A: 49y''-42y'+5y=0, y(4)=4, y'(4)=1 Auxiliary equation 49m2-42m+5=0

Q: If (f°g)(x)=2x-1,how might f(x) and g(x) be defined?

A: (f°g)(x)=2x-1 can be written as f(g(x)) So g(x) is the inner or the first function  And f(x) is…

Q: f (x) = x³ + 4xª + 3x³ – x² + & 1. ,2 -

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Let c(t) = (9r2 – 6, 5t² – 10t) . Find the equation of the tangent line at t = 1. (Express numbers…

A: According to the given information, it is required to find the equation of tangent line at t = 1.…

Q: 2. Given f(x) = 3x2 +4x and g(x) = 2x - 1, find (& simplify) the following: %3D (f-g)(x) = b.…

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Q: c) Find 4°f(x) if f(x) = (3x + 1)(3x + 4)(3x + 7).. (3x + 19).

A: GIVEN: f(x) = (3x + 1) (3x + 4) (3x + 7).... (3x + 19)

Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: Determine the -(|2x + 7) d dx It's a piecewise function (so there are two different formulas):…

A: According to our guidelines,i can solve only first please reroute the remaining question.

Q: If f(t)=t and g(t)=sint, determine f ∗g.

A: we have been given f(t)=t and g(t)=sint we have to determine f *g