(0.382, 18.294) (0, 16) 15 10 5- (-1, 0) (4, 0) (2, 0)

Q: (3) If "P =12 "P, , the n is equal to (а) 9 (b) 7 (c) 6 (d) 12 (е) 10 (f) None of these

A: From the given information:P4n=12 P2n⇒nn-1n-2n-3n-4!n-4!=12…

Q: 8) |(-6)| - ((1 – 3) - 2) + (-4)

A: Given: We have,     |(-6)| • ( (1-3)•2) ÷(-4)

Q: (10) + 2(11)¹ (10)8 + 3(11)²(10)7 + ... + 10(11)⁹ = k (10)⁹ then k= ?

A:

Q: 8. Find the first four terms of (2a - 1)¹0. What is the coefficient of a³?

A:

Q: Expand (-3x + 11)(-4x – 9)

A: We have to expand the given expression.

Q: y a) (f + g)(2) = 10 9F 8 7 b) (f – g)(4) = 6. c) (2) (6) : %D 7 8. 9 10 d) f(g(8)) =

A:

Q: (5+1) + () + (+) - (+) +.. 27

A:

Q: calculate 1+3+5+...+(2n-1) for n = 1,2...,6.

A:

Q: 8s - 16 (s² + s)(s² + 1),

A:

Q: +6n +3 is Θ (n)

A: 1st expression is TRUE

Q: 2(210) 2(510 210) 510 210 510 3 2 1 show that 1 4 2(510)210 10

A: To calculagte the 10th power of the given matrix in the required form

Q: Suppose that n(A) = 17, n(A n B) = 9, and n(A U B) = 24. Find n(B). n(B) 8 x

A: Given that n(A )= 17,n(A∩B) =9,n(A∪B) =24,n(B ) =?

Q: -7 -9 -6 0 0 5 8 4 05-3 -4 -6 0 ][ 00 6 =

A:

Q: If 15, then 3x = 3. (А) 5 (D) 45 (C) 18 (B) 12 (E) 135

A: solving equation by multiplying both side by constant. multiplying constant doesn't change equality…

Q: Find (-2, 7)-(6, -9). O/O (0.0)

A:

Q: 1 L [s² +2s+5)

A: Let's find.

Q: 4j(3 – 9j) + (5j + 2)

A: 4j(3-9j)+(5j+2)Distribute 4j4j(3)-4j(9j)+5j+2=12j-36j2+5j+2combine like terms=-36j2+17j+2

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: 2. S 2z+8 dz (z+7)a

A: A detailed solution is given below

Q: 16 If X-B (4, p) and P (X=0)=- then P (X=4) 81

A:

Q: 13(2)5 æ+8 – 6 (3)6 z+2

A:

Q: (9) VL1, L2 ((L1 UL2)* = (L2 UL1)*). True O False

A: Please check the next step for detailed solution

Q: 22.L{tsin (-2t)} O - (s²+4)? 2s (s² +4)° 8s 4s (s?+4)

A: Correct option is  = A Please find attachment for the details solution

Q: (b) En="n! n=1

A:

Q: Then where a11 where C11 = a12 = C12 = a21 = C21 = a22 C22= A 1 = (§ 8), B= ( − 4 ³ ) ,0 = (1 ²).…

A:

Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: 1. Which of the following expressions is equal to d? (i) i– i?+i3 – it +... (ii) 8 – +- +... (iii)…

A: The Expression in (i)  is in i and can not be reduced to d  Similarly the expression in (ii) is in δ…

Q: 20+9u du (9u? + 20) . 3/21

A:

Q: 2. The sum of three consecutive positive odd integers is always a multiple of (A) 3 (B)5 (C)7 (D)9…

A:

Q: Write out expressions for (i) (ii) "P. (iii) (iv) 20P,

A:

Q: If n(A) = 115, n(B) = 115, and n(A U B) = 140, what is n(An B)?

A:

Q: र 11 22 (-1)" 2²", when 12) an MO

A:

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: 2. If 24x = 16, then x = (A) I 2 (B) (C) 4 (D) 8 (E) 12

A:

Q: hat is the last digit in the product of (3¹)(3²)(3³)(34)...(34⁰⁰)?

A:

Q: What is the value of (0.1)3 (20)3 ?

A: We have to find the value of: (0.1)3 (20)3

Q: If a, = n(a, -1) and a, = 1, what is the value of (1) 5 (3) 120 (2) 20 (4) 720

A: Here we have,

Q: 45 73 73 17 13 43 )0 (B) 2 (C) 7. (D) 8 (E) 9

A: We can observe that in left box there is 5 which is 4+1 of the right box. Hence similarly, X should…