Q2) 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}. %3D d) S = {2, 6, 10, 14}.

Q: (3) Let X € D4 such that X ‡ R270- Find all Y € D4 such that XY2 = R90. Explain your reasoning.

A: Given:  X, and Y are the elements of the dihedral group D4 such that X≠R270 and XY2=R90. To Find :…

Q: 3. Which set of ordered pairs is not a function? a. {(1,0), (3, 2), (5,4), (4,7)} b. {(1,2), (2,7),…

A:

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

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

Q: Let f(x)= Vx+ yx +Vx. Find f'(36) to the nearest tenth. Oa. 0.1 O b. 0.2 Oc. 0.3 Od. 0.4 O e. 0.5

A: Step 2 complete solution

Q: If f(x)= [2 x] then f(-2.1)= O a) -5/ b) -4.2 c) -6 d) -7 Oe) None of the above.

A: Ans:- (a) -5  For detail...go through the solution...I have solved in detail

Q: 2.54. If A and B are mutually exclusive, P (A) = 0.37, and P(B) = 0.44, find (a) P(A'); (b) P (B');…

A: Given that A and B are mutually exclusive events then P(A or B)=P(A)+P(B) P(A)=0.37 and P(B)=0.44…

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: Let A = {a, b, c, d} and f = { (a, 0), (c, 12), (d, 18), (b, 12) }. Is f a function from A to B ?…

A: Given, A = {a,b,c,d} f = {(a,0) , (c,12) , (d,18) , (b,12)}

Q: 5. Let D = {1, 2, 3, 4, 5}, C = {a, b, c, d}, and g = {(1,a), (2,c), (3,d), (4,c)}. Determine…

A:

Q: Find g(-2) if g(x) = 4x + 3. a. 19 b. -11 c. -8 d. -5

A: Consider  g(x) = 4x + 3

Q: b) f′(6)≈ c) f′(4)≈

A: To find out the slopes by the help of table.

Q: suppose that X~N (3, oʻ), AP (3<X<6) =0.4, then P(X20)= A.0.4 B.0.9 C.0.6 D.0.1

A: We have to find given probability.

Q: Let A = {2,4} and B = {1,3, 5}. Which one of the following relations, T, U,V, or W, from A to B is a…

A: Given below the detailed solution

Q: 8. f : {1,2,.5} × {1,2, . 8} → {1,2, . 40}. ...

A: Given: f:{1,2,...5}×{1,2,...8}→{1,2,...40} To find- A bijection f between the given sets.…

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: A. B. f(x) f(x) -3 3 -2 4 3 4 -1 4 1 6 2 C. D. f(x) f(x) 3 -1 3 3. 4. 5 3 6. 3 Which table does NOT…

A: for a valid function for one value of x, the function could not be more than one vale or having only…

Q: 2. If f(x) = 3x³ + 2, find a number c between a = -1 and b = 2 such that f(x) dx = f(c)(b - a) -1 A.…

A: