31. Let f(x) = [x²/3]. Find f(S) if a) S= (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1, 5, 7, 11}. d) S = {2, 6, 10, 14).

Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

Q: Q7. Show that 2F₁ (1,2; 1; -x) = In(1+x) x

A: Step 1:Step 2:Step 3:Step 4:

Q: Let m(x) = 2x² - ax - 2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

A:

Q: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

A:

Q: y a) (f + g)(2) = 10 9F 8 7 b) (f – g)(4) = 6. c) (2) (6) : %D 7 8. 9 10 d) f(g(8)) =

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Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

A:

Q: the

A: We have to find the following conditions from the given information

Q: 2. h(x) = x² 4, evaluate at x = 4, 8, 11 and %3D %3D

A: The function is h(x)=x2-4

Q: 83. Given f(x) f(-12) = -8. = mx + b, find m and b if f(3) = -3 and

A: It is given that  f(x)= mx+b we have to find the value of m and b if f(3)=-3 f(-12)=-8

Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

Q: Tapoint on the function, /(x), s(-8,9). state the corresponding point on its inverse (0).

A:

Q: Let ā= (2, 5, 7) and 6 = (1, 3, 4). (a - b) × (a + b) = X (3,16,33) X

A:

Q: a2f ду? 1 If f(x, y, z) = - 2+y² + find ax2 az2

A:

Q: Let F = (, , 2). Calculate div (F) and curl (F). (Use symbolic notation and fractions where needed.)…

A: We have to calculate  and .

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

A:

Q: Use the function f(x) = 5x – 6 to compute and expand and simplify the following. a. f(-) = b. f(-6a)…

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Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: 5. Let f(x) = 2x³-x² +7, find: a) ƒ(2) b) f(-5) c) f(a)

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: K 3. f(x) = = mt f(x) find a. 2 = (x) اسم - - () اسمر - ( ) اسمر 2 = = = (x) اسمر b. .. d.

A:

Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

A:

Q: Q7// Evaluate f -64 -dy

A:

Q: 2. define the functions f(x1, x2) = x1x2 the largest and smallest value in the set x12 + 4x22 = 8.

A: Given function is fx1, x2=x1 x2   To determine: The largest and smallest value in the set…

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Suppose u(x) function in the graph at right, determine the following: 14. -x² +3x – 4 and w(x) is…

A: As per bartleby guidelines we are supposed to answer only 3 subparts for a question. This question…

Q: 2t – 5, t 2

A:

Q: Let X represent the difference between the number of heads and the number of tails when a coin is…

A: Given that: Total number of times a coin tossed, n=36 To find: Probability of getting the difference…

Q: Let à = (-4,-5, 4) and 6 = (2, 4, 0). a Find a x b. хъ.

A: