2x+3 The average value of f(x) =- on [-1, 1] is V2-x %3D 26 OA 10/3 - 3 28 O B. -10/3 + 28 OC. 10/3 3 28 OD.10/3- 3 28 E. 10/3 + OE. 3 O F. None of these.

Q: Which of the following relation y = f(x) represents a function? %3D O 11r = 4y? – 19 - O 11r 4y? +…

A: We need to check if for any x we get one y or more than one y's.

Q: The Range of y = [2x + 1] is Z, T O F

A:

Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: (늘 가 G-2). Find the value. A relative extrema of the function f occurs at f(x, y) = 9x2 + 3y2 - 9x +…

A:

Q: (4 -3) Please show all working 9. -2 (1) Given that P = 2 ) and Q = ( %3| -3. 4 -3. Calculate: (i) P…

A:

Q: 3. Determine the function f (x) for which f' (x) r3 II

A:

Q: es New Let x, = 1 ,x, = 2, f(1) = a, ƒ (2) = 2a, Q11(0.5) = 3. Then a = Select one: а. 7 b. 4 с. 6…

A: image is attached

Q: Evaluate (a) r(-7/2). (b) r(-1/3). Ans. (a) (16 J)/ 105. (b) - 3r(2/3)

A:

Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

A:

Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: If f(x)=(², what is f'(-1)? (Note: Round your answer to the nearest integer.)

A:

Q: Let P(s) be the function - 1. Find the following: | s+1 P(7) = %3D P(- 9) = %3D P() - %3D 8. In each…

A: Since, you have posted question with multiparts. As per guidelines we"ll solve only first three…

Q: -6x %3D Find Mak. Value of f(x) = X (Use symbolic ndtation =ox for x>0 fractions where t. needed)

A: Given function :

Q: 9 | f(x) dx = 2. Find 8. f(x) du . 8. 3) Suppose that 6f(x) du and 8.

A: Answer

Q: Which function is best represented by the graph to the right? 8 A y=-2x +3 -4 B y=-2x + 6 9-8-7 -1…

A:

Q: Let f(x) = = a) 9x +4 following. Simplify if possible. f(x) = f(a) a - X = . Evaluate the 4 A' for x…

A: The given function fx=x9x+4. We have to simplify the expression fx-fax-a and find the value of A.

Q: 3. Find f(t) given. 3 F (S) = 4(s+5) A. +3p St est C. 3 -5t D. I 4 eist

A:

Q: Find the second derivative of f (x) if ƒ (x) = (2x + 3)* %3D A) 4(2x + 3)³ (B) 8(2x + 3)3 (C) 12(2x…

A: Proceed as shown...

Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

A:

Q: (x+3)³ 4(х — 1)2 12 16 f (x) Consider the function 11 + 4. Note that %3D 4 x - 1 (x – 1)2 (x – 9)(x…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.