Evaluate the iterated integral by converting to polar coordinates. 2 √4-x2 e-x² - y² dy dx

3-Use polar coordinate to evaluate f, S a2-x2 dxdy a2-x2 ala

Find the product z,z2 and the quotient 2. Express your answers in polar form. z1 = 3(cos(250°) + i sin(250°)), z2 = 25(cos(200°) + i sin(200°)) Z2

Vx² -36 -dx . x* Using the method of Trigonometric Substitution, evaluate

s The complex integral (tan 2rz) dz is,

Write z1 and Z2 in polar form. (Express 0 in radians. Let 0 <0 < 2x.) Z1 = 2/3 - 2i, z2 : -1 + i Z1 = Z2 Z1 and (Express your answers in polar form with 0 expressed in radians.) Find the product z1z2 and the quotients Z1 Z2 ZĄZ2 = Z1 22 Z1 ||

Change the rectangular coordinate (-2,2/3) to the polar coordinate. Give one 4. answer with a positive r and a negative r with 0<0<2n .

Choose the correct region of integration 5 √³x y dy dx. Assume that in each figure, the horizontal axis is the x-axis and the vertical axis is the y-axis.

Find all values of y such that the distance between (2,y) and (-7,6) is 22. %3D (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. )

4. Evaluate: sin (1+ 2j). Express in polar form