Find the first four f(x) = e4x 16x2 64x3 1+4x + 2! 3! ... ) 4x + 64x3 + 1024x5+ 16,384x' + . . . 4x2 1+4x + 2! 4x3 3! ... 4x2 4x3 x +4x + 2! 3!

Q: 3. are The set of critical numbers of f(x) = 3 x3+ 2

A:

Q: Find critical number of f(x) = 5x^2-8x+1

A: Given,          fx=5x2-8x+1

Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): x² 4 x -2 f(x) = { mx² 2 m = n =…

A:

Q: of f(x, y, tion of ve

A:

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

A: Given

Q: . Find the critical points of f(x) = X3 /(X+1)

A: To Determine: Find the critical points of

Q: Find (f - g)(x) if f(2) = 7x³ – 52² + 42x – 30 and g(z) = 7 O (f · g)(x) = 49zª + 269x² + 150 O (f·…

A:

Q: Find f"(x). 13. f(x) = x³ – . 3 14. (x) = x* + 15. f(x) = x'/5 16. f(x) = x'/3 17. f(x) = 2x-2 18.…

A: As there are multiple questions 13 is solved here.

Q: Find f'(x). f(x) = O O O 6x - sin² (5x) f'(x) = O f'(x) = f'(x) = f'(x) = = 6-10sin(5x)cos(5x) 2√6x…

A:

Q: 3. Find an orthonormal pair one of whose members is proportional to (4, -3).

A:

Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: In Problems 23–38, for the given functions f and g, find:(a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘…

A: In Problems 23–38, for the given functions f and g, find: (a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘ g…

Q: 1 If f(x,y,z)= of then x-y-3-

A:

Q: find the critical number: F(x) = x^4/5 * (x-4)^2

A:

Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

A:

Q: Find critical number of f(x) = x^2 - 6x + 8

A: To find critical number of f(x) = x^2 - 6x + 8

Q: Find the critical numbers of the function. f(x) = 3x + 4x3- 12x2 %3!

A: Given function is f(x)=3x4+4x3-12x2. The critical number of a function f is a number c in the domain…

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: Find the critical numbers for h(x)=x^2-x^4. Show all work.

A: The objective of the question is determine all the critical point of the given function.

Q: Find critical number of f(x)=x^3-6x^2

A: Given: f(x)=x3-6x2

Q: Find the critical points of f(x)=6x-x^2.

A:

Q: find the critical point for the function f(x)=2 x3+3 x2 - 72x+ 14 %3D O None O 4,3 -1,2 O 3,-4

A:

Q: Find the critical number of the function. f(x) - 3x + 3x2 + x

A: If f'(c)=0, or is not differentiable at c, then c is a critical number. Therefore, we must set the…

Q: 1 The critical number of f(x) = V1– 3x is x 3 True False

A:

Q: how many critical numbers does the funtion f ( x ) = | x 2 − 5 | have?

A: The graph of the function given below.

Q: 1. f(x) = 3x + 4, at x = 4 2. f(x) = 3x2 – x + 2 at x = 2 3. f(x) = ***, at x = 1 x+3 4. f(x) = X-1…

A: As per guidelines we can solve only three subparts at a time, so the first  three subparts can be…

Q: 1. f(x) = x² – 4x + 1 at point (0,1) 2. f(x) = x³ + 2 at point (1,3) 3. f(x) = 2x* + 3x³ – 2x + 7 at…

A: Given : The functions and the points.

Q: The critical numbers for f(x)=Vx-6x are (is):

A:

Q: Determine all critical points for the function. 3 12x 2 Ox= -2 Ox=-2, x = 0. and x = 2 Ox= 2 Ox= -2…

A:

Q: Find the critical numbers of f (x) = x2/3-x

A: We will differentiate the function and equate it with 0. We will again differentiate it to check the…

Q: 4.x +1 1 with f'(x) = 1/ 56x2 - 156x + 115 14x – 19 - - 3. Let f(r) = and f"(x) 4 %3D 3 5 Vr2 – 3x +…

A: To find the points on which it is concave up or concave down

Q: have critical points at x=2 and x--2 f(x) = x² + 4x + 4

A: Critical points:x=2 , x=-2

Q: Find all critical numbers of f (x) =4x³+3x²– 18x – 2 @ -- (A B -1 D) 1

A:

Q: 1. Find the critical points forf (x) = x + %3D

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 2. What are the critical numbers of the function: f(x)=(x² - 4) A. X=0, x=2 and x =-2 В. X30 only С.

A:

Q: What are the critical numbers of f(x) = (x-1)/(x^2−x+1)

A: To find the critical number, find the derivative of the function and make it equal to zero. The…

Q: Find the critical numbers and the open intervals on 31 which the function y x-3x+2 is increasing or…

A:

Q: Find critical number of f(x) = x^2-7x+8

A: Given function f(x) = x2-7x+8 The critical number is the value of x which makes derivative of f(x)…

Q: Find all critical numbers of f(x) = 4x3- 3x2– 18x + 2 O -- (A) (B) 3 - 2. (D) O 1.

A:

Q: Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5].

A: There are more than one question. We will solve the first one. Given, f(x)=x-[ln(x)]x, we need to…

Q: Suppose (1,1) is a critical point of a function f with continuous second derivatives. In each case,…

A:

Q: 13,4) f(x.y) =In(x + x² +y² If Find x

A: f(x,y) = ln (x+x2+y2)∂f∂x=∂ ln (x+x2+y2)∂x=1 (x+x2+y2)×(1+12x2+y2)×2x

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: The function f(x)=2x^3−27x^2+48x−6 has two critical numbers. The smaller one is x =   and the…

A: The given function is f(x)=2x3-27x2+48x-6                           Differentiate with respect to x,…

Q: Find all the critical points of f(x) = 4x³ – 3x. %3D V3 z = V3 x = 0

A: The given function f(x)=4x3-3x

Q: Compute f(c+h)−f(c) at the indicated point. f(x)=6x2​; c=4

A: Given : Function : f(x) = 6x2   To find : f(c+h)−f(c) at c = 4.

Q: hraj h(x) = 3x-2 x347

A:

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

A: Using the product rule of natural logarithm, it can be written that ln(ab)=ln(a)+ln(b) . Using the…

Q: What are the critical numbers of the function f(x)= 2x^(3)-2x^(2)-16x+1?

A: Let's find.

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.