Q: Given In 3-1.10 and In 7= 1.95, find In (21). Do not use a calculator. In (21)=
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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: Solue O 10 x .073 82.7 x 0.01 3. 11 x .3
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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: T-2 31 If Q= | 1 1 and P= [3 then QP: 2 7 2. Does not exist. -2 01 1. 2 L21 4] 6 4 2 113 4. -2 7 25.
A: Q=-231172 and P=1032To find QP
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Q: 2 - If A and X then - 11 5 7 А.Х —
A: From the given problem: A=-20-115 ; X=-17 Now, A.X=-20-115.-17
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: d ха H at saxa dxJo *²² +4
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Q: . Homework. Let a and b be integers. If 7 | (17a +256), prove that 7 | (10a+11b).
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Q: Let A and B be two sets of real numbers. Which one of the following identities is true? O A = (Anø)n…
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Q: 17 3. Evaluate: de (r- 1)(2 + 16)
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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: . 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: 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: Let v = Find [-13]; ®= { [4]· [H] }; × = {[3]· B]}-· B C a. [v]: b. [v]: c. [B]: d. [B][v]: e. Are…
A: (.) Given,(.) Coordinate vector: Let be a basis of a vector space . Then coordinate vector of…
Q: [1 If A = 6 and |A|| = 1 Which of the following statements is true? O a. |A| = 3|A| O b. 12A| = 2|A|…
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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: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…
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Q: -1 21 2 If A = [], B = [3], and C = [12], find 0 0 2. 4 A² + BC.
A: Step 1: Step 2: Step 3: Step 4:
Q: a. |15| b. |15| +4 c. 3- | 17| d. |12|+|12|
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Q: 2""(-1)" +1 2. Prove that 1-2+2² – 2³ +...+(-1)" 2" =- for all positive integers n.
A: We prove this result by using mathematical induction. For answer please look at step 2.
Q: 521 End Adi A R A-
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Q: Evaluate the expression. [16 +(-4)](- 4) O A. 32 B. - 16 C. O C. 1 O D. 16
A: Given: [16 + (-4)](-4) step 1: calculate the value in square brackets ( [] ) => 16 + (-4) = 16…
Q: Exf
A: In this question, we have to find the principal value of exponential logrithm.
Q: and C = -3 2. 131 Let. A = -4 and yet B C Venify that AB AC
A: Given,
Q: Use trig substitution to evaluate: (hint: let x = 3tan0) %3D
A: ∫01xx2+9dx
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