5. Let 2x g(x) = ,0 3 find (go g)(x)

Q: Find the critical number for y = f(x) = x (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative…

Q: Two equivalent forms of the Chain Rule for calculating the de-rivative of y = f(g(x)) are presented…

A: Given, if y=fx and u=gx then the derivative of their composition can be expressed as

Q: 1 1 5. f (x) = =x² + 3x – 5 4 5.f (x) —D — -х? + 3х — 5 4 | (6, 4) Opens up/down: Vertex: Axis of…

A: Graph of the function is given, we have to find required values

Q: f f(x) = ln(x2+10x+16) ov

A: The absolute minimum of f(x) is 6ln(2) and the absolute maximum of f(x) is 4ln(2)

Q: 2.) Find the critical values for g(x) = x?e-2x %3D

A: Critical points are the points at which derivative of function is zero or function is not…

Q: Determine the critical point/s of f(x) = ln(x² + 4x + 14) on [-4,2]. 0x= -3 Ox=1 0 x = 0. 0x = -2

A:

Q: 2. A college professor never finishes his lecture before the end of the hour and always finishes his…

A: Note: Since you have posted a question with two subparts, we will solve the first part for you.…

Q: 3 (a) Determine exact locations of critical numbers of the function f(x) COs x + cos 2x

A: for finding critical point take f'(x)=0

Q: 5. If c is a critical point of F(x), when the is a local maximum or minimum at c? Explain

A:

Q: 4 Find the linearization of the function f (x) = x² at x = 1. L(x) = Using this linearlization, ƒ…

A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

Q: 15. If g(x) and h(x) are both antiderivatives of some func- tion f(x), then what can you say about…

A: Consider that gx and hx are both antiderivative of function fx. Find gx-hx.   Since gx and hx are…

Q: 17. The function f(x) = x³ + bx² + c has a critical point at (-2, 6). Determine the value of b and…

A: Please follow the next step.

Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above…

A:

Q: a) Find the critical value(s) of f(x) = x + 2sin(x) on the interval 0sxs 27

A:

Q: 2.) Find the critical values for g(x) = x²e-2x

A:

Q: In the function:  f(x)= (3x^2)ln(x) , x>0  What are the critical numbers of the function?

A: Given function is

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* – x has a critical number…

A:

Q: 2 3 Use the first derivative test to determine the local extrema, if any, for the function f(x) =…

A: Take the derivative of f (x)  and equate to zero for finding point of extrema.

Q: find the critical point for the function f(x)=2 x³ +3 x2 – 12x+4 X' 3,-4 O -1,2 O 1,-2 O None

A:

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number…

A:

Q: - y = In(x – 2)

A:

Q: Find the critical points of the following function.   f(x) = 1/x - ln(x)

A:

Q: 1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-<x<e. e

A: Given problem:- Find the maximum value of ƒ (x) = ln(x−lnx) on the interval 1/e≤x≤e

Q: 1 1 Select all the antiderivatives of f(x)=-+ %3D x² +1

A:

Q: 1. Find the critical numbers of the following function. f(x) = x-v*(x – 2)

A:

Q: If f (x) = x(x - 2), then the critical points %3D of the function f(x) are

A:

Q: What happens when you try to approximate V3 by using fixed point iteration of g(x) = 3/x?

A: To determine what happens when 3 is approximated using fixed-point iteration.

Q: Consider the graph of y = f(x). -5 -4 -2 2 3 =1 -2 List all critical values on the interval ( – 5,…

A:

Q: 5. Ifc is a critical point of F(x), when the is a local maximum or minimum at c? Explain

A: To give the condition of local maximum or minimum at c if c is a critical point of F(x).

Q: 2: The necessary condition for existence of the solution of the nonlinear equation x =g (x) in…

A: For any non linear function, to find the existence of its solution between an interval there should…

Q: 19. Solve for A and B so that g(x) has a limit at both x = -1 and x = 3. 4x - 2, X> 3 g(x) Ax + Bx +…

A: To solve for A and B so that gx has a limit at both x=-1 and x=3. gx=4x-2,       x≥3Ax2+Bx+2,…

Q: 98x2.1for one year to y

A:

Q: 4. Find all of the critical points of the function f (x)

A:

Q: Approximate the critical points of g(x) = x cos−1 x and estimate the maximum value of g.

A:

Q: Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for…

A: It is known by linear approximation that 1+xk=1+kx for the values of x near 0. The given function is…

Q: What is the critical point of the function g (x) = (x ^ 2/2) + x (ln (x) −1), using Newton-Raphson,…

A:

Q: Let f(x) = (2 – x)° f(x) has one critical value at A = | 0

A:

Q: Where does f(x)=- have a critical point, which is not an extremum? O O O x = -1 x=0 x = √√3 x = 1 x³…

A: From the above function , we get 3 critical points at X=0, -√3 and √3 and two point where function…

Q: 12. If z = 2xy – 3x²y and x is increasing at 2 cm/s, determine at what rate y must be changing in…

A:

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: We use the quotient rule, product rule, and chain rule of differentiation to check the claim of the…

Q: 8) State the critical points of the function k(x) = x2 In x2.

A: Given,          The function kx=x2lnx2

Q: 2. Evaluate f(x) = e3x + 2 at x = -1. Round to the nearest thousandth. %3D %3D f(-1) = ...

A:

Q: 5x−12/x^2−x−42 has vertical asymptote(s) at x=

A:

Q: If X has hazard rate function Ax(t), compute the hazard rate function of aX where a is a positive…

A: 8) We know that if F(x) is the cumulative distribution function of random variable X  Than…

Q: Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY

A:

Q: The function if x 1 has critical points at... (Choose all that apply.) x = 0 x = -1 x = 3

A:

Q: 2. Consider the function h(x)=8+(x+3)*x"3 . a. Find all critical numbers for the function h(x).

A:

Q: 2.3 From the smallest to the largest, the three critical values of f(x) = x x-7 are

A:

Q: 3. Consider the function f(x) = r - 1+x 1- a. Explain why, when evaluated in a floating point…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.