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:

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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)) =

A:

Q: the

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

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

A:

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: