Let A = {10k:k EZ*} and M = {5k:k e Z*}. Then None of these Ο Μς Α MC A O AC M O A=M

Q: Which of the following u-substitution should be used in evaluating {(2³_x)[x(x³_2x)]³} dz?

A: Given integration ∫{ ( x3 - x )[ x( x3 - 2x )]3} dx

Q: 3 S² x³ cos x ²dx 6.

A:

Q: 20. Which of the following statements are FALSE? dy 2л -5 I If y = In (7 - 5x), then de 7 - 5x 3e3x…

A:

Q: 86. Show that Z, = r(cose + isine) and Z2 = r[cos(-6) + isin(-6)] are conjugates. %3!

A: Given,

Q: 4) In AJKL, JK = KL. Ifl J= 4x-8 and L L= 3x + 15, find m2J and ml L. K.

A: Given :JK ≅ KL∠J = 4x-8∠L = 3x+15

Q: B. Suppose that y1, Y2, ., YnidN (0, o2). We wish to find the most powerful test for Ho:02 = o3…

A:

Q: Utt = √ √ √ 21 3 (2 + 4 cos (0)) do 2

A:

Q: 2. Hノ=1geノ-1 アrンィ 8タ=ー =/ク(=2

A:

Q: Evaluate the exponential expression. 2-4 -3 5-3 Apply the definition of negative exponents and write…

A: To evaluate the following exponential expression. 2-45-3

Q: Let 2a4 + y* + 23 = 4 Then dz (1, 1) = 8/3 -8/3 none of the listed here 1

A:

Q: Differentiate y=In (In 4x) 1 A x In 4x -1 B x In 4x. In 4x D) None of the given choices In 4x E.

A: f(g(h(x)))= f'(g(h(x)))×g'(h(x))×h'(x)here, h(x)=4xg(h(x))=ln(4x)f(g(h(x)))=ln(ln 4x)

Q: 2. Show that In (- - ) = ( + 2nn)i where n = | .... .... ..

A: Consider the following expression: x=ln-12-32iex=-12-32icosx+isinx=-12-32i

Q: Find the principal value of (1– V3i)".

A:

Q: If u = x²/(x² + y²), find ou/ox, du/dy.

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 16w Given that, w =1- 2i and z = w – Calculate z.

A: w=1-2i and z=w-16 ww2

Q: 3) Express aw/ar and aw/as in terms of r and s if w = x +2y+z², x = 5, y = r² + Ins, z = 2r

A:

Q: 1. We can generalize our approach to warto for any state function. Consider: f = 3x²³ - 2xy² for X₂…

A: As per the question, we will verify the above for f=3x3-2xy2. We are given that xi=1, yi=2; xf=5,…

Q: 3 0 -2 3-Let A= 0 1 2, B= Find:- 3 L-1 1 5] (2A – I)B' and show that (BA)'=A'B'

A:

Q: Show that the following relationships hold. a) (1+i)™sn[ = Sn+m[ ¯ Sm| b) än+1] = 1+ an] (m) (m), c)…

A: Considering the LHS (Left hand Side) : LHS=(1+i)mSn|¯ RHS=Sn+m|¯-Sm|¯ ( Right Hand Side)…

Q: 2 3 2 3 2 3 Let G= S3 and H={(; 3 2 Then the number of disjoint cosets in G/H is H. 6 O 3 2 O

A:

Q: by first- shifting find L(e-tt)= %3D

A:

Q: @l1z.1-121151\2.-Zl By using:- Re(Z)sI ReCZ)l5|ZI V ZEC, Im (Z)<Imcz)

A:

Q: 3 . Graph the function y=x with a graphing calculator using the viewing window min =-4, Xmax = 4,…

A: Given function:- y=x3

Q: 8 Soe e 32 dz 2 22 e (1 + €²²) ²

A:

Q: Making use of the fact that ˆα = y − βˆx and βˆ = SxySxx, show thatni=1[yi − (αˆ + βˆxi)] 2 = Syy −…

A: Given

Q: Problem. Show that S {₁ 【 (s − 2)(s − 3)(s — 6) J L-1 -6)} = 1/2 ²² - e³t + e

A:

Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: 1. Do not use a theorem to find the ff. Z if yz? + z = 5xy – 1. %3D

A: In the multivariable function, if we have to find the partial derivative of one variable with…

Q: Given w = xex + ln(x²yz3) Determine дш дх O дш дх δω дх ди дх дш дх = ex(1 - x) + = xẻ +1+ 11 N|X 2…

A:

Q: tnd if Zi=ñ Ccoro tisino] and %3D

A: z1=r1cosθ+isinθ and z2=r2cosϕ+isinϕ