-4z2-4 Let C: |z-1|=3 and I = $. dz. Then z2–1 |=-2nti |=0 (without applying Cauchy-Goursat Theorem) O 1=2ni O l=0 by Cauchy-Goursat Theorem O None of these |=4Tti

Q: Conader the functon 22ty Sz,) = Among the folowng statements, select the ones that are true. Each…

A: using the basic definition of the limit of f(x,y).

Q: I'm unsure of how to work a problem like this

A: We need to find a 2-degree polynomial having zeroes at

Q: HW 2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 <Z< 2) c) p(-2 <Z < 1)

A: If Z~ N(0,1)   which means clearly it is standardized normal distribution table.

Q: | sec (3.r)dr reduction formula (or any other method) =)dx = 1 sec"-2 (ax) tan(aæ) + (n – 1)a n- 2…

A: The question is taken from the calculus in which we have to find the integral of a given question We…

Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

Q: 18 16х + 17 dx Evaluate

A: ∫xndx=xn+1n+1+C where n≠-1

Q: Q12: If x + y = 10, then the largest possible Q13:The absolute maximum value of A) has no absolute…

A: Since, we have been asked to solve question-(13) in which our aimis to find the absolute maximum…

Q: Which one of the following is equal to Scot (™) do? 2 ○ 2/4 sec² \sin (12) ○ 2) | + c 2 In sin (18)…

A:

Q: #1 part j

A: For question 1 part j: To show that for real values x, y If 0&lt;x&lt;y then 0&lt;1y&lt;1x

Q: (b) Find a closed-form expression for Ak+1, k1, where 0 0 23 30 -18 -235 A 0 9

A: Given that Now the eigenvalues of A obtained from Eigenvector corresponding to .

Q: domain of f(u) = (i) all real numbers. (ii) all real numbers (iii) (-0,1) (PV) (-00, -1) (v) [1.00]…

A: The functionIt is not defined for Therefore, the domain of the f(x) is all real numbers except for 1…

Q: Part (b) 5e Evaluate -dz by residue theorem, where C is the contour |z| = 2 6z4 +30z3

A:

Q: b)- dx a(13-x)(2+hncr)) + Ja9 differentiating on both sides dy (13-2) (2+dnc) da b9 de + be9) %3D de…

A:

Q: i dont get why we take the step to show that ||x||||y||≥0 for all x,y in real numebrs

A:

Q: Fi nd He relarive ereme values of he by f(xix)- furchon defived y3 + x3 - 3y?-x2 +6X He region…

A:

Q: Discu ss the Singu laritie s and poles of zez Sin z f (z) = (z-2)(z²-1)* (2²+52+6) (z+7) (z²+4)

A:

Q: 10.) cos*x

A:

Q: dy-2y=(x+1)" «lve therdifferential eguation 4. (X+1) XP

A: NOTE: Refresh your page if you can't see any equations. .

Q: The real part of sech (2-j3) is -3.7245 -3.5906 O 0.0403 O -0.0106 -0.5309 1.0357

A: The Euler's formula is widely used formula in complex analysis. It makes a bridge between the…

Q: 3) Let a be a ron zero cons tant such that at43. Let f(xiy)- ox+sin?y 43xay2 Le lim fkiy).Which of…

A:

Q: 2a In R^ show that : 2 as 211x11² + 211|4|1²³ = || Xx+y|11² + 11x-y₁1² ( This is known a the…

A:

Q: Yn+1 = ayn-p+YYn-h (yn-h) 9-¹+8 +6

A: Given: The information showing the proof of a specific theorem.To prove: yn+1=αyn-p+γyn-hyn-hq-1+δ…

Q: [a] -(-x)= x [b] (-x)y = -(xy) and (-xX- y)= xy

A: We use The fact that (-x)+x=0 and x*0=0

Q: Exercises/ Find the domain and function, range ofeath @ f) =x²I

A: This is according to our guidelines.

Q: Let a, y, z be positive real numbers such that r +y+z xyz. Prove that 1 1 1 1 1 1 1+ x2 1+ y2 1+ 22…

A: Given- x + y + z = xyz This inequality can be proved by magic no. Concept-  First we will prove…

Q: HW 2: If Z ~ N(0,1), find a) p(Z > 1.2) b) p(-2 < Z < 2) c) p(-2 < Z < 1)

A: Given: If a standard normal variable Z follows a normal distribution with mean 0 and standard…

Q: dx 4) Using the Residue Theorem, show that S (x²+4)³² " ㅍ 16

A:

Q: Za-Sa-4a + 12 a - 12a + 16 Ans. 1. 2Lim 2 -2 +1 z-2z +2 22. Lin 21. Lim -+Sz -6 tan 0 cos 20 24. Lim…

A: The objective of the question determine the limits of the function.

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.