Suppose that 6 8 7 6 87 8 8 4 1 4 1 7 3 7 1* 2 1 A 2 1 0 0 3 0 0 3 4 4 What is the value of A?

Q: PROVE: Z3 = 26 k 2 4 3 a 5 8 7 b LO

A: Given:

Q: '5 1 4 -6 Given, A = 4 - 3 2 0 2 1 21 01 1 3.

A:

Q: f 4[ k - 0.4(2k - 1) ] = 0.5k + 2.9, then k =

A:

Q: in+2S n-1 {(-1)" 7+1} n=1 O None {7 1 n+ 2

A: Strictly decreasing function is : 1/(n+2)    Therefore, answer is fourth.

Q: Evaluate fc 713 where C : |z| = 2. Ans. fc z+1)3 Ti ( – 4). 1 z² (z+1)³

A:

Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

A:

Q: (п - 2)аn+1(2х — 3)п+1 + > ап-1 (2х — 3)"-1 n=0 n=2

A:

Q: Find the area of the polygon.

A: Lets solve this using 2 methods - first, we will simply divide the polygon in rectangles and…

Q: 3 4 2 A = |3 4 5 4 6 [1 0 1 0 1 1 A = 1 1 1 1 1 1 0

A:

Q: 27. A = [1 4 7], B = [4 2 0] Subtract A and B equals O [5 6 7] O [-3 2 7] O [4 8 0] O 12

A:

Q: let A = 1 2 3 3 2 1 1 1 3 A =

A: A=123321113 To find AT

Q: compute:  (3/5)^(n-2)x(10/9)^1-(n/2)

A: Please see the explanation below

Q: 4. Conclude that n2 n=1 ||

A:

Q: Determine rank(A) and nullity(A). 2 2 3 3 2 2 4 4 5 5 0 0 0 0 1 1 A = 1 1 2 2 2 2 1 2 1 2 1 1 1

A: Given matrix, A=112233224455000011112222121212 To find the rank and nullity of the matrix.

Q: 4. Knowing that 1 + 3 + 5 + …+ (2n – 1) = n², find 1++3 +5 + .…+ 135 =

A: Solution :   Given that  1 + 3 + 5 + ... + (2n - 1) = n2    -----(1)

Q: 27 If (2x 3) [133] [3] 3] -3 23 1. 2 13 2 2 3. 13 2 23 2 - 0, then the value of x is

A:

Q: IF 5 + 3 + 1 = 1 8 + 3 + 2 = 3 %3D 5 + 0 + 0 = 5 Then 3 + 2 + 1 =???

A:

Q: För the adata 3 14 5 5 5 10 6 11 4 3 8 3 9 4 6 24 9 3 15 4 5 3 57

A: Given Information:

Q: perform the indicated operations andsimplify.

A: 17).  To perform the indicated operations and simplify. 6x38y3·16x9y2·15y4x3 Solution: We know that,…

Q: (21)3 if z1 = 1230°, z2 = 1260°, and z3 = 1245°, find , (z3)% %3D 1275° O 1Z175° O 1Z125° O 125°

A: We have to find out

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

A:

Q: 10 8 8. 6. 4. 4. 12 12 4. 4. C 8. 3 10 10 Which is similar to X? 5. 3.

A:

Q: use the properties of exponents tosimplify the expressions. Assume that all variables arenonzero.

A: Given expressions are of exponents.

Q: 123 A= 4 5 6 7 8 9 -1 7 3 B= 4 -2 5 -3 9 4 13 2 C= 6. 0 10 3 6. DD 2 L-7 8 4 F- 8. %3D

A:

Q: Show that MP-1 (n) + (m+1) Pm+1 (n). - (2m +1) " Pm (n] =>

A: The objective is prove that mpm-1x + m+1pm+1x - 2m+1 x pmx = 0. To show the given result we will use…

Q: Find, if possible, AB and BA.

A: A = 147235689                      B = 100001001  Now AB= 147235689  × 100001001…

Q: 19. 75xy + 60xy 20. 5a'b² + 10ab + 25a 21. 10xy - 2xy +14xy 5a2(5+26+6) 22. 8m?n2 – 24mn3 + 16mn 23.…

A: We have to simplify the given equation.

Q: -1 3 7 22 -7 21 11 9 -5 If M = then 0.5 43 -3 21 12 1. m24 А. 43 2. m34 3. m33 В. 9 С. -5

A: given matrix is                                                      M=-13722-7210-50.5119436-32112…

Q: 4. If 2(x + 3) =x + 10, then x equals (1) 14 (2) 7 (3) 5 (4) 4 O 2 03 04

A:

Q: 8. If * -2 1 -3 A = 12 3 10 7 1 -4 and 0. 1 7 B = 2 -3 1 3 8. 7 Then tr(2AT + 3B) = None 12 -6 O -4…

A:

Q: Show that 1.3.5... (2 n – 1) (ii) P2n+1(0) = 0. (i) P2n (0) = (– 1)" 2.4.6 ... 2 п

A:

Q: Find L{(5 t2n+1 – 4)* } O 25(4n+2)! 40(2n+1)! 16 $4n+3 s2n+2 2 5(2n+1)! 2n+2 O 25(4n+1)! 40(2n+1)!…

A:

Q: B. Evaluate the following. 9!+8! 2. 4!3! 10!(12!) 3. 10!-8! %3D %3D 1. 3!3! 16 %3D

A: Given that  1) 9!/(3!3!) 2) (9!+8!)/(4!3!) 3) (10!12!)/(10!-8!) Note: According to bartleby experts…

Q: 6.) Statements 1. 2x + 12 = 5x – 3 1. 2. 12 = 3x – 3 2. - 3. 15 = 3x 3. 4.5 =x 4.

A: Simplification

Q: 6. Show directly that inf(B) = 1 for B {N =: 4+1} -

A: The given expression is,  B = {1+1/n : n belong to N}

Q: 1 w 4 4a apply. 8 7 5. 3+ 2+ 1+ 1 3 4 5 6 7 X = 0 X = 1 x = 2 x = 4 x 6

A:

Q: 8. Q# 1 n! 5" n=1

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: 1 Evaluate dz . |2l=12.0 (z – 10.0)°(2² + 169)²

A:

Q: (-5, 2). (3, -2) in z11 x Z4 is (0 ,5) (1 (3,0) (2 (3,5) None 4 3.

A: We have to find the element -5,2·3,-2 in Z11×Z4.

Q: 1. 4 17 28 7. 4 3- is 7 or 2. 14 2. 14 2

A:

Q: Show that 1.3.5... (2 n – 1) (i) P2n (0) = (– 1)" (ii) P2n+1 (0) = 0. 2.4.6 ... 2 n

A:

Q: 2 30 14 -2 -1 2 -4 1 3 1 11 A = ,A = -7 0 0 0 -2 Select an Answer 3. 10 0 0 0 1 -1 -1 2 0 2 3 A = ,2…

A:

Q: a) b) 1 2 3 + 2.2 3.2² 4.2³ 1 1 1 1 + + 1.3 2.4 3.5 4.6 + + 4 5 5.24 6.25 1 + n(n+2) + + +. 1…

A:

Q: 7 + 5 ? 1 x (7 + 5) 4 DO 1 2 4 5 6 7 8 9 Enter v II

A: The answer is, 3  The detailed solution is as follows below:

Q: Find scalars r, s, t, and p so that LU = A.

A: Given: A=6289511316, L=200ts010-1 and U=r1402-100p, To find: The value of scalars r,s,t and p if…

Q: how does : 1+1/(3)2+1/(5)2+1/(7)2+...=(pie)2/8

A:

Q: 3. Calculate 1 +3+5++ (2n- 1) for n = 1,2,..,6. 4. Calculate 1+ 3+7++ (2"- 1) for n 1,2,..,6.

A:

Q: 3). Show that 1 1+p 2 3+2p 1+ 3p+ 2q = 1 3 6+3p 1+ 6p+ 3q 1+p+q

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.