2. (10pts) Find a biholomorphic map between the unit disk A and the region U =...
Question 2 Find the area of the parallelogram formed by the vectors: U<-44-2> and v<6,7,-2> Round your answer to 2 decimal places and do not type the unit. Question 3 x = - +1 Find the intersection point of the line ( y = 4t - 3 and the plane 4x + y = Z + 2 = 0. z=t-1 The value of t that corresponds to the intersection point is: ti The intersection point is Al
Find the maximum and minimum of e-x2–v? (x² + 2y) on the disk x2 + y2 < 2.
u =<4, -5 > v=<3, 2 > | 2u – vl = ? Whole number. <7, -1, 5 >.< 2, 3, 1>=? whole number
Let U ? Rmxn. Prove that if UTI-In, then n < m.
5. Prove that f(z) = (2+1/2) is a conformal map from the half-disc {z = x +iy : 2< 1, y >0} to the upper half-plane. (Hint: The equation f(z) = w reduces to the quadratic equation z2 + 2wz +1 = 0, which has two distinct roots in C whenever w # £1. This is certainly the case if WE H.
WOULL. 8.30 If u, = 24. for region 1 (0 < 44. Jor region 1 (0 < 0< T) and uy = 5u. for region 2 (TT < 0 < 2TT) and B2 - 10a, + 15a– 20a, mWb/m2. Calculate (a) B, (b) the energy densities in the two media. <T) a
Given the logistic map Xn+1 = run(1 – Xn) with r > 0. Show the 2-cycle is stable for 3 <r <1+V6.
Disk A has a weight of 5 lb and disk B has a weight of 17 lb. No slipping occurs between them. (Figure 1) Figure < 1 of 1 a = 4 rad/s2 0.75 ft 0.5 ft Part A Determine the magnitude of the couple moment M which must be applied to disk A to give it an angular acceleration of 4 rad/ Express your answer to three significant figures and include the appropriate units M= Value Units Submit Recuesta...
(1 point) Find the volume of the region enclosed by z = 1 – y2 and z = y2 – 1 for 0 < x < 39. V =
find the inverse z transform X(z) = 1-2-3 with [2]<1