2x", g(2) 7x", h(r evaluating, sign positive e f(4.6) | 9(3.2) positive E h(0) zero negative j positive e f( – 0.4) negative e g( – 5.8) | h( – 0.11) negative D j(0) zero

Q: b. Area above the axis is positive and area below the axis is negative. To the right is the graph of…

A: In this question we will use basic of calculus i.e application of integration. We will simply find…

Q: x-2 f(x) = e"/ In x+2 what is the 1st deravitive

A: Given function, f(x)=elnx-2x+2

Q: '5 f(x) = -9 evaluate the following. J2 2 Given f(x) dx = 3 and (a) f(x) dx (b) f(x) dx '3 (c) f(x)…

A: Given : ∫02fxdx = 3 and ∫25fxdx = -9   To find : (a)∫05fxdx (b)∫52fxdx (c)∫33fxdx (d)∫25-8fxdx

Q: (h) Shrink vertically by a factor of 4. (x) y f(x - 4) O y = 4f(x) Oy = f(x) - 4 Oy = f(x) + 4

A: For function f(x),  y = f(x - a), represents shift a units to the right. y = af(x),  represents…

Q: Previous Next f(0) f(-2) = f(1) = 3 x + 9 for x < 1 If f(x) %3D = %3D 6. for x = 1 %3D %3D

A: Given :  f ( x ) = 3x + 9 for x &lt; 1  f ( x ) = 6 for x = 1

Q: 15- Consider the table below. If f'(x)g(x)dx= 5 then what is the value of f(x) 2 f'() 6 -3 g(x) -4 3…

A: Given  ∫01f'xgxdx=5 and x 0 1 f(x) 2 4 f'(x) 6 -3 g(x) -4 3 g'(x) 2 -1

Q: 3. Evaluate f(0) when f (x) = cosh x. А. О В. 1 e2+1 С. 2e e²-1 D. 2e E. None of the above

A: f(x)=cosh x;  find f(0)

Q: 5. Determine the area below f (x) = 10 - 2x² and above the line y = 3. 11. 6. Determine the area…

A:

Q: dx For (x+x³) (xtan-1(1) +1) =n(F(x))+C. What is F (/3) if C=0? A

A: Integrate the function to find F(x).

Q: 3x 3. What are the discontinuities of f (x) %3D x3-3x2+x-3 а. х+1 b. x+ 1, x = 3 c. x = 3 d. x = 0,…

A:

Q: (x² for x < 2 Evaluate: g(x)dx where g(x) =16 – x for x 2 2

A:

Q: 3. F= F(x) = x² + x + 1, a = 1 to b = 3

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 7. g(x) = at r = 8 4– r 8. g(x) = at r = 0

A:

Q: f. f(x)=*+1 from -4 to -0.25 h. f(x) = x. from -2 to 2

A:

Q: (3) Does f'(1) exist? Give a brief (one-sentence) explanation. (4) Does y = f'(x) satisfy the…

A: We have to find  if f'(1) exists or not and does given function satisfies the assumptions of…

Q: 1) Find f (x) where f'(x) = 3x2 – 1 and f(-2) = 3. (8 pts)

A:

Q: 6. f(x)= \1+x? at x = [2, 3] where n = 43;

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

Q: 04. Find the end behavior for y =x - 2 A. x → -00, y → -00; x → +0,y → -0 C. x → -0, y → +0; x → +∞,…

A: Given y=x/3 -2 .  We have to find the behavior of y

Q: Use the table to find the following derivatives

A: Given Data: x 1 2 3 4 5 f'(x) 3 5 2 1 4 g'(x) 2 4 3 1 5 From the above data,

Q: 3. Consider f(x) = Inx and g(x)= ex. Determine (fog)(x) and (gof) Simplify your answer. a) (fog)(x)…

A: Topic:- function

Q: f(r) = 5" + 5z + r b) 1+3 In z 1-3 In z f(x) = c) f(x) = /In (r² + 4) %3D

A: Since you are asking multiple questions. We are answering only the first three subparts, We have to…

Q: 9. Find (f g)(2) for f(x) = 3z and g(x) = 5-z. %3D %3D O A. 322-15æ? O B. 3x- r+5 O C. 3x-30x +75…

A:

Q: Piecewise-Defined FunctionsGraph the functions in Exercises 25–28.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 20. Evaluate f(2.x – 3)(x² + 1)dx a. 4x* + 3x - x2 - 3x +C b. 4 x* - x + x² - 3x +C c. 34 x* + x -…

A: We know that ∫xn dx = xn+1n+1+C        n≠-1  where C is constant of integration.

Q: 10 r10 If f(x) dx = -7 and f (x) = 1 then determine 1- f(x) dæ showing working.

A: Given, To find:

Q: efined on the interval -5, 4. .) f(x) is concave down on the open interval .) f(x) is concave up on…

A: for a function to be concave down we have to see if the double derivative should be less than 0 and…

Q: a. Determine the values of a and b for flz) = -2x + ax? + bx + 6 so that f (-2) = 0 and f (7) = 0.…

A:

Q: -T<x<0 | find b let f (x) =. x2 0<x<n .a (-1)"(2–n²n²) – 2 | n³n .b (-1)"(2–x²n²) n3 .C (-1)…

A: The solution is given as

Q: Rx) = 9x + 4, g(x) = x2 + x (a) fog (fo g)(x) = (-00,00) domain (b) gof (go n(x) = (-00,00) domain…

A:

Q: 15. Find (fog)(x) given f(x)= Jx-4 and 8(x)%3D g(x)= then find the domain of fog. 2

A:

Q: f(x) = 5x4 − 2x5,    F(0) = 8 Find the antiderivative F of f that satisfies the given condition.…

A:

Q: Not sure where to go from here.

A: We factor the given expression

Q: 2s-4 Given: F (t) = L-1 Find: F (0) s2 (s+4) O-3/2 O 3/2 O 1

A:

Q: df Let f(x) = 5x° - 9x - 5, x2 1.5. Find the value of at the point x = 1269 = f(7). dx

A:

Q: |x| for x 2 10. g(x) = %3D

A:

Q: 6 — 2х if x x2 – 16 For which x E R is f(x) continuous? You must give j your answer.

A:

Q: х-4 ,x5 Given: f(x)= , find the value of k that will make f continuous on (-0,) kx2 – 24x + 46 , x>5…

A:

Q: nAבencח x2 f(x) Let k(x) = %3D 2x- 3 Find k'(-1), given that f(-1) = -2, f'(-1) = –3. Sorry, that's…

A:

Q: &r4- V iderivative of F (x) =- determine the value of C (use 3 decimal places, answ

A:

Q: S-1, -l<x < 0, 6. f(r)= 1, 0 <x <l.

A: First we can convert given function as a single function by fourier series representation.

Q: 3x – 1 and g(x) = x² + 4x – 2. Evaluate the fol - - a. f(3) = b. f( – 1) = с. д(— 3) %3D

A: Since you have asked multi part question, we will solve the first 3 part of the question for you as…

Q: n3 e the following: i) ii) (7x² + 5x+)dx (8x³+2√x++)dx Given that f'(x) = 3x² - 4x + 10x6 and y=f(x)…

A: Topic:- application of integration      Note :- as per our guideline if more than three subparts…

Q: 7. g(x) at x = 8 %3D 4- x

A: Note:- As you ask solution only of No. 7 so i am solving only it.

Q: 2. Given f(x)=√x, describe the concavity of f(x). A. concavity cannot be determined B. concave up…

A:

Q: b) Let X-p(5): Find 1. P(x) 2. F(x) 3. E(x) 4. V(x) 5. P(x=0) 6. P(x>1)

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: f(x + 2h) – 4f(x + h) + 6f (x) – 4f(x – h) + f(x – 2h) | | f(4)(x) = + O(h?) h4

A: By Taylor series expansion of the functions f(x+2h), f(x+h), f(x-h), and f(x-2h) and some simple…

Q: g(x) = X/5+ x2   concave upward        concave downward

A:

Q: dx = In(F(x))+C. What is F (/3) if C=0? For (x+x³) (xtan='(x) + 1) A 3 B D) 3 -15

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.