2. Define f : (2,7) → R by f (x) = x³ – x + 1. Use the definition of uniformly continuity to prove that f is uniformly continuous on (2, 7)

Q: Match the following quadratic functions to their graphs. 2z? - 5z + 1 -2x + 5z + 1 21 + 5z +1

A:

Q: 2. Ja. If a a = 0 and a b 0, what can you say about b? b. If a a 0 and a b 0, what can you say about…

A:

Q: Find the number of ways in which two Americans, two British, one Chinese, one Dutch and one Egyptian…

A: Given that, two Americans, two British, one Chinese, one Dutch and one Egyptian.

Q: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

Q: aluate. 11! 4!(11- 4)!

A:

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: a+b 2 If 5 6 2 find the values of a and b ab 5 8

A: if matrix are equal then crossponding entries will be equal

Q: Compute each of the following: a. b. C. d. 0. (Simplify your answer.) a. b. (Simplify your answer.)…

A: In the given problem combination values should be calculated.

Q: Use the method of false position, as would have been done by the Egyptians, to solve the following…

A: Please check the answer by using method of false position

Q: 7. What is the correct expression to find the 8th term in the 12th row of Pascal's Triangle? A. 1C₂…

A: Option (B)

Q: Find the number of automobile license plates where: (a) Each plate contains 2 different letters…

A: We have to find number of automobile license plates where each plate contains 2 different letters…

Q: Suppose that a local area network requires six letters for user names Lower- and uppercase letters…

A: Local arear require six letter for user name & Lower and upper case letters are considered the…

Q: AC Biff P(A) C P(B).

A:

Q: Multiply. dis (4) . cis (4) O fás (4) O fás () Ocis () Ofds () fas 19 cis 19

A:

Q: C. Solve the following problem." n! p = (n -r)! 1. How many ways may 10 students be seated in a row…

A: 1)GivenNo.of studetns(n)=10No.of chairs to be seatedd(r)=8

Q: Suppise finten u ond . of U and w 45

A:

Q: 1 16 dæ None -1 1 ||

A:

Q: -1 Find A if (2A)' 4 6

A: Take 2 in outside and transposed both sides

Q: Find (if possible) a. AB and b. BA, if A = = [4 4567] and B = 3 A 1.0 5 6

A: Given  A = 4567  and  B = 3456.

Q: Simplify. 4n + 3(n - 5) + 2 n + 6 13-ח 7n- 13 7n+ 6 Done Ysheed in any manner wmour epress enen…

A:

Q: 1. Write the 9th row of pascal's triangle. Answer here

A: We have to find the pascal triangle

Q: . Verify the formula п(n + 1) 2 for n = 10, 50, and 100.

A: ∑x=1nx = n(n+1)2To verify the formula for n = 10, 50 and 100.

Q: Bonus: Question 5 A space explorer reaches a new p one tribe always tell the truth, while

A: Shorter alien are truth teller and taller is a liar.

Q: 3. Simplify the expression 23-3-2-1. O A. 16 OB. 18 O c. 20 OD. 39 4. Simplify the expression 32 5 6…

A:

Q: If Ac B and A c D, then B c D. True False

A:

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: From a point 4 miles north of a cell tower, a hiker walks 2.5 miles west. How far is the hiker from…

A: Let us first make a diagram to understand the problem better. The hiker is initially at A, 4 miles…

Q: Solve the problem. In each of the following, tell what computation must be done last. a. 62/(11 -10…

A: (a) 62/(11-10+1) 62/(1+1) 62/2   (b)4(13-5) -21 4(8) -21 32 - 21   (c) (28-17) + (19.3) 11 + 57…

Q: Compute xe" dx + x?y dy along the curve x 3t, y = t2, 0 < t < 1.

A:

Q: 5. If and A = 5 3 -2 2 7 -1 521 verify that A(B+C) = AB+ AC. 6 5 1 C = 107 B = 2 0 " TOT

A:

Q: Find (if possible) a. AB and b. BA, if A= 2 3 4 5 [23 5] and B = LO 5 6 7 8

A:

Q: Solve the following problems. 1. A die is rolled once. Find the probablity that a). The number is…

A: Given:  A die is rolled once. Number of outcomes =6

Q: Screen. 3 If P(A)- 1/4 P(B)-1/2 P(AUB)-5/8, then P(ANB)- as. 3/8 1/8 2/8 none of these

A:

Q: п! 67. (п — 2)!

A:

Q: [1 -5 5] adj(B) s.B = |4 2 9 し2 9. 1]

A:

Q: 10 3 - 4i O 1.2 - 1.6i O 1.6 + 1.2i O 1.2 + 1.6i O 1.6 - 1.2i

A: 1.2 + 1.6 i

Q: B) Find the values of p, q. r. and s if 1 [p² -1 0 -31-9'] r+1 9. 3 7 9 -2 s-1 -2 8 -IT

A:

Statements and Logic

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