Given: 21 = 2 23 = L4 e || n Prove: 2 3

Q: 1,319929 439= (は

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Q: O Find reve y (z 3hax

A: To determine: (1)    ∂2y∂x∂z ,  for   y = z14-3 ln ax2-2 ,  a is a constant. (2)  ∫01∫01∫01z3y3x2 dx…

Q: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: Let n EU = Z and p(n): n² + n is an even integer. a. Write the following statement: (Vn) p(n). b. Is…

A: (a) Here, the given statement is: For ∀n∈U=ℤ, p(n):n2+n is an even integer.

Q: Which of the following is not equal to P(100, 2)? 2P100 100! 98! 9900 100P2

A: We have given, P(100,2) The number of permutations of n things taken r at a time is defined as,…

Q: D Solbe: き++ズ+1 さ十スナズ+1 30

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Q: 13. Suppose that p + q = 25 and px q = 10. Determine the value of of +2+1+1/2+2 32 10 41 20 (A) (B)…

A: Here we have to find the value of the expression.

Q: "Vn E Z+,if 30 | n² then 30 |n."

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Q: 2 450 -1 k () is equal to Select one: 899 450 (49) O a. O b. None of these O C. 450 149) 989 O d.…

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Q: Fix a € (0, 1). Determine inf(B) for B = {an: ne N}. You can just give your answer for this part…

A: We have to find the  for

Q: following which of the reys is open ? [6, 15] (6,15) 9. C. 6.(6,1s] d. [6,15)

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Q: 8) x - 2y = 8 A) B) + -2 # 2 2 y 2 x

A: To determine which of the given graphs belong to x-2y=8

Q: Show that 1/2 1+ 72 2 1. i%3D1 Xi n-1

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Q: 7. I) Find, if possible, AB ond BA A= 3212/ 2.

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Q: ^CA)= is MC

A: No Infinity is a value that is very very big.

Q: Show that n*-n3.5+300n + 234n²log n³ + nVn10 e 0(n*)

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Q: Which of the following is equal to da? In(x) + c +c 20 +0 с

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Q: 12. Determine whether the following is true: (a) ≥3, EZ, 31(2²" - 1); n (n + 1)(2n +1) (b) 12+22+ 32…

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Q: 7. Simplify: Ο Ο Ο Ο O √√8 7 3/7 49 37 8 3/28 7 V 49 49

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Q: Consider o = (12)(45), then o =4. Select one: O True OFalse

A: The given cycle is: δ=1 24 5 The cycle δ is the product of two disjoint cycles.

Q: If n(A) = 46, n(B) = 19, and n(AN B) 19, and n(An B) = 4, find n(A U B).

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Q: (b) Prove (or show) that Hint: Start from % = 0² ( 1 + TH SSTT = Var (Bo) = Var(y - B₁) = Var(ÿ) +…

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Q: Simplify completely: 0 ~/~ 2 (₁ + ²)² - (¹ - 1) ¹)²³ 1 a a

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Q: Show that: 15|(24n − 1) for all natural numbers n.

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Q: Find proju if scalu = − 3 and v = ( − 1,4, - 8). proj, u = ( (Type integers or simplified…

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Q: The value of | 1/a da is O e+C O +C O a 2 + C O In(r|) +C O None of the others.

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Q: 4s + 32 L-1 (s² – 16). wwww.

A: Given that  (4s+32)/(s^2-16) To determine the inverse Laplace

Q: 40 7. -2/108mn' 13 8 9. 27m2

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Q: Given: 3(x + 2) = 15 Prove: x = 3

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Q: 2,5 Evaluate O 근43 0,0 2,1 7,4 (Z+ €)dz (2+i) dz 7.4

A: As per the guidelines I am only answering the first 3 questions.  Kindly repost the other questions…

Q: Q2 1-The Euler's number (e) is a * rational number a. True b. False

A: Rational numbers are those which can be represented in the from of fraction and those which can not…

Q: 5. For n ≥ 1, establish the formula (2n + 1)² = (4tn + 1)² – (4tn)².

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Q: mZB А 60° C

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Q: (2) Prove that 21 + 22 = + Z2 for all 21, 22 € C.

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Q: 4n Prove supz : nE N

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Q: 5. 134 6. 68 to R 46 128 P.

A: THEOREM 1 Angle of intersection of chords . If two chords intersect inside a circle, then the…

Q: || 16xy dA 76. RJ E (и + v) 4 1 y : - и) ||

A: