Example 19-6. Use the method of separation of symbols to prove the following identities : (a) Uz – Uz +1+ Ug+2-Ux+3+ . 2 3 1-3 + 2! 1-3-5 G AªUx-(5/2) (승) 스Ux-7/2) <-(1/2) 3!

Q: 0 -1 0] If R =|1 2-1, then R-1= 1 1 0

A: Matrix is a mathematical object containing numbers arranged in rows and columns. The order of a…

Q: Show by contraposition that : Vx ERx?-7x-820 - x2 8 or x S-1

A: In this method, we prove negation of antecedent and get contradicted and get our required results.

Q: 1. Simplify the following expressions: a) (x– 1)(x+ 2) b) (х- 10) - (х — 2) c) 4(x – 1)(x+ 1) + 2(x…

A: topic - simplification

Q: Lim. Zan² (4x) X² it: to x 70

A: Let,the given limit is

Q: Example 4.8.2 Simplify the following expressions: (a) Cov(8X +3,5Y – 2), (b) Cov(10X - 5, -3X + 15),…

A:

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: Hello! Thank you for the question but as per our honor code we'll able to solve only three sub -…

Q: d) Prove (AV (Vx) BC = (Vx)B(AV C), as long as x not free in A. (Hint: Translate first to Standard…

A: Given,  Prove (AV (Vx)BC = (Vx)b(A V C), as long as x not free in A. (Hint: Translate first…

Q: 48. -1 12 cos 2 tan-1 210

A: Topic - trigonometric identities We are given: cos2tan-1125Formulas requiredcos(2θ)=1-tan2θ1+tan2θ

Q: 4. In(4i)

A: complex number

Q: iF Uo=c Unı%=D(2n+2)Un +2 n+ Find Un

A: Use the given relation.

Q: (i) (Z- Q) and specified in it using the most concise notati

A: Firstly we write elements of both sets Z and Q and then find Z–Q

Q: [a] z = dz dr D 4+4-³ P d/y +2 = (4+48-8³) a (x³/2) - 83/2 d (4+48 -√3) (4+48-83)2 3 (4+48-8³) 50 -…

A:

Q: 5x+h over 5x+h+3 minus 5x over 5x+3, all over h. This is a difference quotient problem in…

A: LCD of the numerator is (5x+5h+3)(5x+3).We make both denominators same then subtract the rational…

Q: Letu= -4i+9;,and W=-i-4s Find GW+ Zv

A: This question is related to vectors, we will use vector addition and subtraction rules to solve the…

Q: Consider the truth table for the connective '' with two simple declarative statements p and q. Р q T…

A:

Q: .2 ペ+15X+ 32X"+23x*+25K-3 Ax (+メ+2) (x2+1)。 2.

A: ∫x6+7x5+15x4+32x3+23x2+25x-3x2+x+22x2+12dx

Q: (-3z? – 4z + 7) - (2z2 + 2z – 1) - (2z - 3z + 7) = -3z? +z - 1 O True False

A:

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: Q1) Find the inverse of A (1 00 A=2 1 0 5 4 1

A: A=100210541

Q: ON Yeven .: Yeven diese Case & F 3.4 and a. = 90 x² + *(+) 90 2²4 2² (-4) (1-4) Q8 x² + a2 a√ [¹+ 2…

A: Given : Handwritten text To do : transcribe the given text in digit format

Q: 1 f X~ N(0,0²), then X² ~G (¹2¹2) Prove this statement

A: Given  X~N(0, σ2)

Q: 3) ATB, f) BTA. ΤΑ.

A: We have used the basic multiplication rules of matrices.

Q: 3+4i30 -2+i 2-i 5

A: To prove the equation 3+4i302-i=-2+i5 to prove it start from the left hand side and deduce the right…

Q: x(3-5х) J - (3x-1)(х-1)* # 2) Evaluate: -dx-

A:

Q: 2. In a study of smokers who tried to quit smoking with nicotine patch therapy, 39 were smoking one…

A: We have given that  p0=39/(39+32)=0.5492

Q: Suppose nine items are sampled from a normally distributed population with a mean of 96 and a…

A: Mean()=96standard deviation()=16

Q: Let 4 1 - 3 -2 -9 and 1 A =| - 3 В C =| 0 3 Prove that 5 - 2 -1 1 1 – 4 | (BA)" – A" B" + AC = AC,…

A: (BA)T - ATBT + AC = AC In LHS, We know that, By the properties of Transpose, (BA)T = ATBT .…

Q: 7 [3-(2-5x)] + X= 4 (9x+2} +1+x/²

A:

Q: Which of the following are multiplicative inverses:  (a) 5y/x and 5x/y (b) 5y and 7y (c) 7y/x and…

A: Here we have to find which of the options are multiplicative inverses.

Q: 19n Find the terminal point determined by the real number t = 3 (a) 9 (6) (--) («) (-;) (d) (;-4)…

A: Given :                    t = 19 pi/3      To find :                    The terminal point