--() --- then compute ab and 3a'b".

Q: x³ dr (1 + x²

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Q: 1+ sin 0 csc0+1 1-sin 0 csc0–1 II

A: We have to prove the identity.

Q: 3. (а) Simplify: (b) Evaluate part (a) above when a = 1, b=6 and c= 1 4

A:

Q: -4 If A = [ 2 ],x = [],B = [°,] then,|A,| = X%3D %3D -3.

A: Solution:- for Ay replace the second column with matrix B

Q: If a,b,c,d are in distinct real number in A.P. Such that 2(a-b)+c(b-c) +(c-a) =2(a-d)+(b-d) +(c-d)'…

A:

Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

A:

Q: 9. Simplify the powers of i. a. -101 b. ¡4

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Q: EX Q+ be aset ab 3 02- aob Jad=s show that (Q+₁0) be age, is it commutative

A:

Q: 1. Simplify the following statement: [(Ra) V (q -r)] ^ ()

A:

Q: 5 25 1+2+20+20+ 4 16 64 an = ||

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Prove that A2=I.

A:

Q: ´5s²–15s-11) -(s+1)(s–2)³. 34-2s 2. i) Find ii) Evaluate (15(s-5)(s+3).

A: The solution is given as

Q: 4. For P -1, (4 + i) ? 15 + 8i 15 + 4i 16 + 4i 16 + 8i CLEAR ALL

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Q: 'evaluate the answer wItho 274/3

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Q: Identify the graph corresponding to the following function (t > 0): y = tu (t – 1) - tu (t – 3) 1 +…

A:

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: Simplify 17. (n+ild (n-1)! 18. (3n+1)! (an)!

A: For expression 17:(n+1)⋅n For expression 18:3n+1Explanation:For expression 17:(n−1)!(n+1)!​We can…

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

A:

Q: A6 - B= | verify that AB not equal BA?

A: first we will find AB by rule of product of matrix then we will find BA then compare both matrix

Q: We know that now 2 1 + d + d +..... :. Since 2 1 + 2k + Zk +.... and 2K be the n 2₁ = 1 2 1+2k + 2k…

A:

Q: -2 3 If A = Then, A-1 = %3D -6 4 4 2 a) 최 ( 6 3) 4 -2 b) – 6. 3 4 c) 24 6 -3 d) The inverse is not…

A:

Q: 4s + 32 L-1 (s² – 16). wwww.

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

Q: Estimate the absolute maximum value of the function y = x3x-x to two decimal places on the interval…

A: Please see the explanation below

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=…

A:

Q: 5) (3-6)/6+76)

A:

Q: Fill in the blank. (Enter your answer in terms of t.) 1 2 + 2_2 -

A: To find the given inverse Laplace transformation we shall use the following rules 1.   L-11s2+a2=sin…

Q: 4- 「メ-5

A: The detailed solution is as follows below:

Q: Prove that A-B=An(-B) = (-B) – (-A) = −[(-A) U B]. Also, give three expressions for An B and AU B,…

A: Difference of sets: Given two sets A and B, the difference A−B is defined as the set of all elements…

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: R= 24 -log (1--135 (2100) 135 Yog (1+ +122)

A:

Q: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4)…

A:

Q: Which of the following power series must be used as the nonhomogeneous part for the given initial…

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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-

A:

Q: If+b+=++, then show that for 1 a" +b" +c"

A:

Q: 3. Let, a = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + n + 1, express a, in terms of n.

A:

Q: Find L- 7] -1| 15 O 15e7t 15e금 15 O 6est

A: This question is related to Laplace inverse transformation.

Q: Suppose a > 0, (a, 42) = 6 and [a, 42] = 420. Find а.

A:

Q: Calculate             a)12/7 x  (-2 2/3) ÷ 13/7  + 11/3 =

A: Given system is: A=127×-223÷137+113 Simplifying it: A=97×-83÷107+43

Q: 4. Prove that d x" = nx"-1 ミクー! de

A: To prove that ddx(xn) = nxn - 1

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.