P- Solue Homogeneous u coit) = 0 u (loit)=0 Ux =4 UxX らo o(Xくら )いしx 5くXくlo

Q: sing the relation z=x+iy = rcosθ + irsinθ=re^iθ . Derive z^n = r^n(cosθ + isinθ)^n = r^n(cosnθ +…

A: The relation .The aim is to derive the expression .

Q: Q2} Write program in script file that calculate the value of z, where z = sinR R = √√x² + y²

A: The MATLAB script to perform the given operations is : MATLAB SCRIPT CODE function z =…

Q: Let z_{1} = r * e ^ (i*theta) and z_{2} = R * e ^ (i*phi) be two complex numbers , the prove that…

A: To prove the equation , where , we can use the properties of complex logarithms and…

Q: sin 2x + 2 5я 3 + n, 3 5я + 2 n, + 2 яп 3 3 5я + KN, 6 2 я ○쓸+2.0, + 2 n 6 3

A:

Q: 1 2. 1+sec¯x

A:

Q: How Vector autoregressions is used for Casual Analysis?

A: The vector auto regression (VAR) model is one of the analytical techniques used most commonly in…

Q: 2 arcsin ++2rk, ±- 4 - 2rk + 2жk 4 ±"+27k, ±- 4 - 27rk + 2жk 4 57 + + 2rk, ±- 4 - 2rk 4 ++2rk, ±: 4…

A: sin-(-2/2) 2/2 = 1/2 sin-(-1/2) sin is negative in 3rd and 4th quadrant so here π + π/4 = 5π/4 and π…

Q: An ant is standing at the point (1,1,3) on the surface of a bowl with equationz=x^2+…

A:

Q: Point A(5,-1) is transformed to A'(-5,1). What type of transformation occurred?

A: Consider the given point is A(5,-1)

Q: State Fermat’s Theorem

A:

Q: - 2 Ex 52

A:

Q: 1+a Simplify 2+2a 2-2Va l-a

A:

Q: (2x^2)– (y^2)-2xC+1=0  Find the orthogonal orbital family of the function

A: We have to find the orthogonal trajectory of the function given below: 2x2-y2-2Cx+1=0. Orthogonal…

Q: Ģ ={(-2,-9),(4,9), (5,-6),8,A)} hx) = 3>c-14 %3D

A: Given that: g={(-2, -9), (4, 9), (5, -6), (8, 4)}h(x)=3x-14

Q: (1+i)^9 a+bi form

A:

Q: Verify (1¹)² =1²¹ but (1²)' = 21 ("i" is imaginary unit)

A:

Q: Define Conjugate transpose.

A:

Q: of A5 A=14=44 A4 = -4 -2 5 A6-

A:

Q: find the orthogonal trajectory of у^2-Сх^3-2

A:

Q: Evaluate. Submit your solution in google classroom sec* 2t dt tanº 2t O -1/(12tan^6 2t) - 1/(16…

A: find the integration

Q: Write the forward difference and backward difference for Uy

A: Forward difference formula:  The forward difference of yn is given by ∆yn = yn+1-yn. Backward…

Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

A:

Q: Evaluate the in verse matriX SinX CosX 2- |-cosX sin X

A: Let A=sinxcosx−cosxsinx

Q: v1 = (- 3.7) and v2 = (5.5) vectors Does it form a base for R^2? Why is that?

A: Given V1=(-3,7) and V2=(5,5) To check V1 and V2 are basis for R2.

Q: Identify the vertex, focus, axis of symmetry, directrix, direction of opening, min/max value,…

A: we can rewrite the equation we get  y=-(x2-4x+4)y=-(x-2)2(x-2)2=-y

Q: @H-w/ prove that cosiz=coshz

A: We have to prove by using cosiz and coshz formulae.

Q: %3D sinset!

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: find |A^T| |A^2| |AA^T| |2A| |A^-1| A= [ 5. -10] [4, 6]

A: As we know that the properties of determinant: 1 A=AT2 A2=A23 AB=AB4 KA=KnA where n is the order of…

Q: cotx cotx CSC X -1 CSC X +1

A: Solve:             cotxcosecx-1-cotxcosecx+1

Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9…

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: 2) sec tan 4

A: Solution: The objective is to find the required value