Let G = Z and H=3Z. Decide whether or not the following cosets of H a written in additive notation). (a) 11+ H and 17+ H. (b) 1+ H and 5 + H. (c) 7+H and 23 + H.

Q: Simplify. - (u+3) + 2u

A: To simplify the given expression.-u+3+2u

Q: Find the conjugate of the expression: 3T – 7/11

A: Given,           3x-711

Q: Add. -6+ 5+ (-4) (-2) || || ☐

A: Steps and explanations are as follows: When we see an expression like -6 + (-4), we can think of it…

Q: Evaluate. (3- 5)² + 4(1 – 5)

A: Given, (3-5)2 + 4(1-5)

Q: Simplify. (3 + 2x)(3-2x) 0 9+ 4x 09-4x² O 3-4x O9-4x

A:

Q: Determine the Fourier Series of the function f(x)= |x|, -3 ≤ x ≤ 3, f(x) = f(x+6).

A:

Q: Simplify each expression. 1) (-3.x* + x²)+ (6x² - 2x + x*) 2) (5n + 2n*) - (4n³ – 4n* – 7n)

A:

Q: Let = 2 4-8 L and = 0 Then proj= CO -4 3

A:

Q: 3 5 9 Let A = 1 and B = - 1 4 0 Find - 3A + 2B. - ЗА + 2B %3D

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: mplify. (76)2

A:

Q: simplify.5(xy - 7)+ xy + 40- x to the power 2

A: Simplifying:

Q: -3+ 1/2a-4 ...simplify

A: We have

Q: Divide. 22x° +11x 8x +15 | x-5 3 4x*-22x° + 11x - 8x + 15 22x X-5

A: Given The numerator of the rational expression can be written as

Q: Multiply. (4-9/)(4 +917) +96+

A: To multiply:4-9i4+9i

Q: Find as if the exponential (a) eº(1+x)¤ generating function for (ak) is: (b) (c) e³x - X (1 − x)²

A: ex1+x6=1+x+x22+x36+..1+6x+15x2+20x3+15x4+6x5+x6 Therefore the term involving x3 is  20+15+3+16=2296…

Q: Add. Simplify the answer. 1 2х- 18 x-4 (x-4)(x+ 6) 1 2x - 18 X-4 (x-4)(x+6) II

A: