4. Show that: do Tb/(a? – b²) - a+bcos0 а b2 Where a>b>0 such that * -1+ 1. < 1 - a²

Q: 5. Determine whether or not the expression is satisfiable. (x₁ V2 V3)^(x₁Vx2 VT3)^(T₁ VT2 VX3)

A: If the Boolean variables can be assigned values such that the formula turns out to be TRUE, then we…

Q: verify that A(B + C) = AB + AC

A: Now,

Q: verify that A + B = B + A

A:

Q: Find the quotient and remainder of (x' + 8x² + 19x + 13) ÷ (x + 3). A (x² + 11x + 52) R 13 © (x² +…

A:

Q: Compute -(-x - 3x²-x). ď² da²

A:

Q: log (x*+3x +9) = 2

A:

Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

A:

Q: Expand and simplify: (9z - 2z+ 10)(3z + 12)

A:

Q: 2. (3x+5)+(2x – 3)

A:

Q: a) 2x + 5 > 4x – 3

A:

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: Show that dx =に 3+ Vx x3/2 – 3x + 18VX- 54 In (3 + V) +C

A:

Q: Find + 3x*) dx 3 3 + C

A: Integral.

Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: [x" csc (x) dx -1

A:

Q: . In the city's entire commercial area, there has been a problem with shoplifting in the March-May…

A: The data shows that the variables x and y.

Q: Given y=63x+1, find y". A 3x(3x+1)63x-1 B (9)63*+1 © 63x+1 D (3in6)263*+1

A: Given, y =63x+1 then y'' = ?

Q: 2. Find the difference quotient of f(x) = 4x² – 7x + 5

A:

Q: 4 | (5a' + 4x")dr Find 3

A:

Q: Show that (x? + y²)² = (x² – y²)² + (2xy)? for all real numbers x and y.

A: We have to prove algebraically that x2+y22=x2-y22+2xy2 Simplifying both the sides , we get Here ,…

Q: Evaluate: dx A **+ In\x*| + C 1 +C 3x3 B 4 (©) 3x2+ -5 3r2+

A:

Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: 1 dx D x(x*+ 1) Select one: a. x2 In +C b. In 2+1 C. In + 1 d. In 4 + C

A: Solution

Q: Find all possible pairs of integers x, y so that 7x + 3y = 4. Then find which of these pairs makes…

A: Given:   7x+3y=4                        ........(1) We have to find all possible pairs of integers…

Q: verify that 5A = 3A + 2A

A: Given that A=341127. Compute 3A+2A as follows.

Q: 2xdx J2 x²-4x+8

A: Solution :-

Q: Expand (x²n + 2x"y" + y2n)(x2n – 2x"y" + y2n)

A: To evaluate: x2n+2xnyn+y2nx2n-2xnyn+y2n We know that xm×xn = xm+n

Q: 6 ³ / ( 2 / +72+4) dz x6 Find + C

A: We need to calculate the value of integral∫6x6+7x+4dx

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.