Change the Cartesian integral to an equivalent polar integral, and then evaluate. In 3 √(In 3)²-2 S 0 A O A. OB. O C. O D. S e√x² + y² 0 (3 In 3+2) 2 л(3 In 3-2) 2 л(3 In 3+2) 4 (3 In 3-2) 4 dx dy

Q: Find the area of the cardioid r=2(1+cosθ). a. 2π b. 4π c. 5π d. 6π e. none of the above

A:

Q: Evaluate √√x² + y2 dA, where D is the domain in the figure and a = 26. 26 12/6 1/₁₂ √ x² + y² α ^ =…

A:

Q: Find all the roots of z² = 1 + i in the polar form rei®. Sketch the graph of the cardioid r = 1+ cos…

A:

Q: the following integral, where y is the line - 1/2 dz

A:

Q: Find the polar coordinate for (-1, √3) where r>0 and 0≤Ø<2π

A:

Q: Evaluate the following integral In 3 √(In 3)²-y² 0 0 eV x² + y² dxdy

A:

Q: IV. Find all the roots using De Moivre's Theorem. Answers must be in rectangular form and in polar…

A: As per guidelines, we will solve the first question only. 1. We have to find 14

Q: Evaluate the given below (hint: It's easier to be solved through Fubini's Theorem) ㅠ 6 1 Lo² Siim-12…

A:

Q: Z is a complex variable z=x+iy  question attached as photo

A: The closed integral is

Q: The exponential polar form is

A: The exponential polar form is given by z=reiθ where r is the modulus of z and θ is the argument.

Q: Reduce to the form a + bi: a. sin (2 – i); b. cosh (1 + i).

A: Solution:-

Q: d. V9+2i e. 2' + In(2 + î)

A: The given problem is to express the given complex expressions in the form of rectangular form.

Q: Find or evaluate the integral using an appropriate trigonometric substitution. +3 x2 dx 4 + C

A:

Q: Convert the following integral to polar coordinates and evaluate the result by hand. il 16-3 sin(x²…

A:

Q: 8 = sin² shown in = Which of the following expressions gives the total area enclosed by the polar…

A:

Q: 1. Find the area common to both r=2 and r=4 cos 30 11A 6. Зх 101

A:

Q: Find the product z,z, and the quotient . Express your answers in polar form. Z2 3 5x z1 = V5(cos() +…

A:

Q: 2- Calculate the part a) using the given countour and assuming that R → co. For part b), use…

A: Part(a): Given, ∫0∞x3x8+1dx Substitute u=x4 Then, differentiating both side we get, dx=14x3du…

Q: B Consider cos²0 de sin² sin²0 av cos²00 dx. Using trigonometric substitution, what is the integral…

A:

Q: 3 b. (Зетi

A:

Q: 9x dx de (16 + x²) ² (Type an exact answer.)

A:

Q: The complex integral J(tan 2rz) dz is,

A: Introduction :

Q: From Be helie angle, ZA- No ma 9=ZAt Zる 2.comp Module ma ZA= 4 Vto Z8 Lt ZA k 2-55 ZB cosp

A: Yes it is possible. Multiply and divide the numerator of right hand side of equation by ZB. Given…

Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

A:

Q: 1. Name the translation from figure ABCD to figure A'B'C'D' in component form. B 1. A B D' C'

A: This is the translation of figure ABCD to A'B'C'D' by the formulae of (x,y)=&gt;(x+10,y+7)