z-le-z/$ T(a),3⁰ fx(x) = Show all workings for full marks. for z>0 and 0 otherwise. X-a8 (a) Determine the pdf of Z = (fz(z)), using a transformation method used in this course. In your workings include the bounds of Z. Show all workings. (b) Determine the pdf of Y = ln X (fy (y)), using a transformation method used in this course. In your workings include the bounds of Y. Show all workings.

Q: b. f(x) = (x³ + 2x² + 4) (x 4 − 3) c. f(x) = = 3x²-6x+7 4x-1 d. f(x) = (4x³- 7x)7 -

A: To find the derivative of each of the following functions.

Q: Use the graph of y = f(x) to sketch the graph of its derivative f(x). y 20 16 12 하 4 -5 -4 -3 -2 -1…

A:

Q: f(x)=(8x-1)(x2+4x+7)(x3-5) find the derivatives

A: fx=8x-1x2+4x+7x3-5 On simplification, we get…

Q: y=-0.2(x-5) - 6

A: Given: y=-0.2x-5-6 To list: Parent function and 4 transformations used.

Q: The change in an investor's income from a land he owns depends on fime. indicating function f(t) =…

A:

Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

A:

Q: Graph the function Y2=nDeriv (“originalfunction”,X,X). By doing this, you’re having the calculator…

A: Please write this statement properly,  Graph the function Y2=nDeriv (“originalfunction”,X,X).    It…

Q: The table shows some values of the derivative of an unknown function f. Complete the table by…

A: To answer the following parts

Q: describe in words, the transformation based on f(x). 1. g(x)=3f(x) 2. g(x)=f(1/2x) 3. g(x)=f(x-4)

A: In the given question we have to describe the transformation of function.

Q: Find the derivative of the function. h(x) = In[(2x + 8)(3x +6)] a. (2x + 8) (3x +6) 1 1 Ob. (2x + 8)…

A: The objective is to find the derivative of the function h(x) .

Q: The amount, A, of anesthetics that a certain hospital uses each week is a function of the number, S,…

A: It is given that;  The amount, A, of anesthetics that a certain hospital uses each week is a…

Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at -: Que f(x) = 3 sin(x) Que a) Find the…

A: We have to find Taylor polynomial

Q: 1-² √√5-3x 2. Find the derivative of order two of the function h(x)=- and simplify completely your…

A:

Q: Consider the function 2x + 1 g(x) = x +1 a) Evaluate the derivative of the function. b) Sketch the…

A:

Q: 16. f(x) = 3x2+36x+108 step 1 f(x + Ax): step 2 f(x + Ax) - f(x) f(x + Ax)-f(x) step 3 Ax f(x + Ax)-…

A: The differentiation of the a function can be obtained using the numerical differentiation. This can…

Q: How are derivatives and second derivatives used to solve an optimization problem?

A: We need to figure out that how derivatives and second derivatives used to solve an optimization…

Q: y = x³ + 1 (x (x² 2 3 x + 3 -1 - 2x + 1)

A: The given function,      y=x3+1x3+3x2-2x-1+1