Q2: A: IF B = By using the result of det(A) (JA) Find the value of det(B) ([B]) without use the def (det) if 3 4 1 6 9 5 6 0 1 1 A= 4 . 2 3 5 6 101 4 1 0 1 5 6 2 3 . 1 6 36 5 24 0 4

Q: b) Evaluate UTM L{t*e=# 6(t – 2)}. UTM

A:

Q: Q.1) Evaluate, dr (a) In z dr (b)

A: To find the integral of the given functions.

Q: (5) 7(3k – 1)² +26(3k – 1)–8

A: On simplifying the above expression,we get

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: 1+ 8(t-2) = Select one: O uz(t) o 5(t - 2) O 1 2u2(t) none

A:

Q: 2 23nsbnoc = 3(-27) - 2(qw) + 5(-3w?) amsaloorb2o Isnods onA vnndol 2sbs1T bns ahA to loorba…

A: We have to find the polynomial

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: Fird the inversc trons frm of ; F (5) = sz+ 25

A:

Q: Evalaute L{2sinh? 2t} 16 16 8 а) s(s? + 16) b) 28)s 16) c) s(s² + 16) d) s(s? – 16) a

A:

Q: Determine O a. O b. dy d. (4r+3) (4r² +6r+3) r(r+1)(r+2) (4r+3) (4r²+6r+3) r(r+1)(r+2) r(r+1)(r+2)…

A:

Q: The evaluation of SiS 3y e*ydxdy is

A: The solution is given as

Q: 5 y 4

A: The order of surd is indicates the index of root to be extracted. For example: n√(x) here n is…

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

A:

Q: Write the algebraic expression in terms of y. (a) 5 more than y anoiaeen (b) 4 less than y (c) 6…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: /2r-z2 Evaluate: Jo J dydr O- 3 O 1 1/2

A:

Q: [1 2 3] ii) Let A = 4 5 6 and B = 5 L78 5] L3 of C32? [-5-5 71 [C11 C12 C13 - 2 4. Suppose BA = |C21…

A: First we state the general formula for multiplication of two matrices and then solve this particular…

Q: 17 3. Evaluate: de (r- 1)(2 + 16)

A:

Q: LET fCe) =12-31.. If Find: (a) fCu) え40 (b) ) fcn) it n z5

A: topic - functions

Q: What’s (E∩F)×(F∪G)

A: We are given that E = {1, 2}, F = {2, 3} and G = {3, 4}.Now, E∩F = {2} and F∪G = {2, 3, 4}.

Q: O d. Evaluate 3 dz (2+1)V교+2z -2 oa vSarsec (플) +c + C b. 3 arsec (1) + C C. 3 arsec (팔) +C V3 arsec…

A:

Q: -2 7 -6 Let F= 4 4 | and G= 7 1 -1 2 - 4 2 Find – 6F+ 4G.

A:

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

A:

Q: S(10) for √3 - 3 + 3√3+...

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: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: i=n (5 + у;) (х; — 2) Зп + 2 i=1

A:

Q: Osrc> lete he Riemen th four sclbinenals ight entpaints sum for f(r) - ( -r? Osr6> , taking tHe…

A:

Q: Evaluate: 22 – (8 – j5) z + 40 – j20 = 0 4+j3 O -4+j3 O 4-j3 O -4-j3

A: The roots of the quadratic equation: ax2+bx+c=0 is calculated using the quadratic formula: x1,…

Q: Suppose that Pr[A|B] = 4/5, Pr[B|A] = 8/21, and Pr[A Compliment] = 2/5. Find Pr[A ∩ B Compliment].

A: Given, PrA|B=45PrB|A=821PrA'=25

Q: [3re² 3re²z dx = C

A:

Q: If y-<, which of the following could be a value of y? (A) -11 (B)-11 C) 12 11 D) E) 11 22 098.12

A: given inequality

Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: Evaluate: (x + 6)(x – 5) dæ + C

A: We will solve the problem

Q: Let x Ry be defined as follows: Ry means that 2 | (x - y). Select the true statements 6R3 10R5 6R6…

A: We have to select true statements using given data.

Q: Which of the following expressions is represented Σ (-1)* (3k - 2)? k=2 A. 4.7 10.13.16 . B. 47+…

A: Step 1: Substitute the given k values from 2 to 6 (we know the values of k from the values above and…

Q: B Given that p(A| B)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?

A: Ans#- Given, P(A | B) = 0, and P(A) = 0.15.            Are A and B        (a) Independent?…

Q: dx Evaluate : 1-

A: Consider the given: ∫dx1−xApply u-substitution:u=1−x∫dx1−x=∫ −2−u+1udu=−2⋅∫−u+1udu

Q: Q4 It f(ay,2)=ye frd の2上1 242 find af b) 'cい,0

A:

Q: 2s + 5 cosh t L- s2 + 6s + 34 et 5s L-1 (s – 2)² 3t -

A: Laplace transform of the function