Imaginary part of f (z) =-2 z (ix+ sin y) - 2(x siny -xy) | - 2(x siny +xy) - 2(x? – y siny) - 2(x² +y siny)

Q: А. у%3D —3 sin (2х — 3) + 1 (2x G. у %3D2 csc(x — п) Н. у %3D csc х + 3 В. у %3D2 sin (x +-) — 4 C.…

A:

Q: Z1 sinh-(5el2) in rectangular form Z2 = tan-1(4 - j7) in rectangular form 4-j2 Z3 = tanh-(4e-j3) in…

A:

Q: sin x+cosX Differentiate y = %3D sin x-cos x 2 А. 1-sin 2x -2 В. 1+sin 2x -2 С. 1-sin 2x 2 D. 1+sin…

A: Given,  y=(sinx+cosx)/(sinx-cosx)

Q: Fourier Senies fra) = x² x e[-1,7]

A: We have to solve given problem:

Q: Imaginary part of f (z) = - 2 z (ix+ sin y) - 2(x siny - xy) - 2(x siny +xy) - 2(x2 – y siny) -2(r2…

A:

Q: { 1/(x + 2) , x2 , sin(x – 1)/(x - 1) , x 1. y = F(x) =

A:

Q: Separation of Variable 1. (cos' x-sin x+ sin' x dx+sin x sin y(1- sin x \dy = 0

A:

Q: Separation of Variable 1. (cos' x- sin x + sin² x \dx + sin x sin y(1– sin x )dy = 0

A: Let's find.

Q: Separation of Variable (cos'x-sin x+ sin' xkx + sin x sin y(1- sin x)dy = 0

A: Separation of variables

Q: Imaginary part of f (z) =-2 z (ix+sin y) - 2(x² + y siny) - 2(x siny +xy) – 2(r² – y siny) - 2(x…

A: According to question given thatf(z)=-2zix+siny

Q: Imaginary part of f (z) = - 2 z (ix + sin y) - 2(x siny +xy) - 2(x2 +y siny) - 2(x siny - xy) - 2(x²…

A: Solution: We have to find the imaginary part of fz=-2zix+siny

Q: i.y = sin-1 (x), y € - ii.y = cos-1 (x), y € [0,¤] iii.y = tan-1 (x), y € (- 2'2 (x), y € [-;, 2'2

A: To prove the derivative formula for inverse trigonometry function we keeo the equation in terms of x…

Q: 3x" -2x+5 1. 4x2-3х+5 2. 2сos(30?) |2у+4y 3. V y²-4

A:

Q: lim (x,y)→(0,0) r sin² y + y sin² a x² + 3y²

A:

Q: EQUATIONS REDUCIBLE TO EXACT EQUATIONS RULE 1 1. x(xdy - ydx) = y2lnxdx

A: Solution is given below:

Q: Sin 2x- Cos 2.x Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: See the attachment

Q: cos(x + y) cos(x – y) = cos² x – sin² y

A: The objective of the question is proving trigonometric identities.

Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3…

A:

Q: cos 0+sin 20d0 16-49 sin20

A:

Q: secx - I 10.) sin*x = 11.) 1- CSC X =- 2tan x sec x %3D sec?x I+ CsC X

A:

Q: Imaginary part of f (z)=-2z (ix+ sin y) - 2(x siny –xy) - 2(r² – y siny) - 2(r siny +xy) - 2(x² +y…

A: using z=x+iy..we get

Q: Sin² x-sin x-2=0

A:

Q: sin Show that the set of functions. 3πX 5TX 2L 2L TCX 2L sin sin is orthogonal over (0, L).

A:

Q: cot2 x+1 2. sec(2a) 11 cot2 x - 1 1

A: We will start with the right side. Replace cot x by cosx/sinx Then use LCD to add or subtract…

Q: integrable form of sin-cos-sine 2 2 | u²-1 du sinu du V 1-u2 du

A: We have to choose the correct option according to the given information

Q: Sinel X X - X + 0.4773 X -0,o0170=0

A:

Q: [cost- sin t Q2) Determine whether x, = ,X1 = |cost| and x, = Lcos t] Co t sin t| are linearly…

A: For linearly independent , determinant of matrix should be non zero.

Q: slope of the line tangent to the curve cos(5x-4y)-x(e^-x)=(-7pi/2)*(e^(-7pi/2))at the point…

A: To find the slope we need dy/dx We differentiate both sides of the given function with respect to x.…

Q: cos2x – sin2x cos2x For dr3-F(x) +C. What is F(x)? cosr - sinr 3 2 cos'x+ cosx + A sinx + -sin'x B…

A:

Q: f-\(x) = sin='(x) а. 2'2 f-l(x) = cos-'(x) (-) b. 2' 2 f-|(x) = tan¬'(x) c. [0, n] f-(x) = cot"(x)…

A: This is a problem of fundamentals of trigonometric identities. Please find the solution below.

Q: cosh (T- i) = %3D e cosl i e sin 1 + e- cos 1 + i e- sin 1 e cosl i e sin 1 + e-TI cos 1 ie- sin 1 2…

A: We know formula of coshx in term of exponential form

Q: EQUATIONS REDUCIBLE TO EXACT EQUATIONS RULE 1   (sin y + ysinx)dx - (cos x - xcos y)dy = 0

A: sin y + ysinx)dx - (cos x - xcos y)dy = 0

Q: e points of inflections and the local maximum and minimum values of the function y=2sinx + sin2x in…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: f(z) = -6.6 sin (0.5z) + 4.2 cos (0.5z) Maximum value of f(x) occurs at z = What is the value of…

A:

Q: cos2x – sin2x cos2x - dr = -F(x)+C. What is Fx)? 19. For cosx – sinx 3 A. (cscr - secr)3 2 2 sinx -…

A:

Q: lim X+x cos x 1- X → 0 sin x cos x 2 - lim(x + 3) x→2 |x + 2| x + 2 sin 5x lim X - 0 sin 4x 3- lim…

A: we have to find the following limits

Q: Separation of Variable (cos³ x- sin x +sin² x kdx +sin x sin y(1– sin x )dy = 0

A: Trhjr

Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

A:

Q: Imaginary part of f (z) = – 2 z (ix+sin y) - 2(x siny +xy) - 2(x2 - y siny) - 2(x siny –xy) - 2(x²…

A: Put z=x+iy then separate real and imaginary part.

Q: domain of g(t)= sin(et-1)

A:

Q: cos e - sin 0 Find a closet rank-1 approximation in the l² norm to A = %3D sin 0 cos 0

A: Consider the provided question, The l2 norm or Forbenius norm(FN) is the square root of the sum of…

Q: Confused on this.

A: topic - trigonometric identities

Q: x(1-x')y = x' + y-2xy? ソ=

A:

Q: S sec20 · tano(1+ 3tane)ž do

A: To determine the indefinite integral.

Q: Linear approximation for the sine function Find the linear approximationto ƒ(x) = sin x at x = 0 and…

A: To findLinear approximation for the sine functionGivenƒ(x) = sin x at x = 0

Q: cos 3tdt 17. S- 1 sin 3t |sin² 3t-- 4

A: Topic = Integration

Q: cos x-cos y B) f (x, y)= X =0, y,=0; %3D

A: Note: We are entitled to solve only the first question, unless specified. To calculate:lim(x0,…

Q: tan-1 x (х-у) tan-1 x+y. > -1 y(x+y) where ().

A: Known fact: tan-1A-tan-1B=tan-1A-B1+AB.

Q: cos2r- sin2x cos21 =-F(x)+C What is Fx)? =xp For COSX – sinư A 2. --cos 'x- cosT+-sin't 3 cos'x sinx…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Using u substitution integrate (cos2X)/(5sin2x-sin^2(2x))^(1/2)

A: The solution is in step 2