Final Exam - Problem 1 [Take Home] Math 3B Spring 2023 1 - X2 https://www.desmos.com/calculator/2fnu9mbwte a a) The blue shaded region A, of the unit circle is a sector with central d) The vertex of the triangle corresponding with f is B(x, h). Use the angle y. The tan shaded region A2 is a right triangle with base fact that A lies on the unit circle centered at the origin to write measuring x and acute angles o, B. The elementary geometric area formulas give h = h(x) = e) With the above we are able to write the shaded areas as functions A1 = and A2 = h. of X: b) Since B, y are [ CIRCLE ONE: vertical / alternate / corresponding ] A1 = A, (x) = angles, we conclude that and B = A2 = A2(x) = c) We know that f) Write the sum of A, and A, as a single definite integral sin B = (b(x) f(t) dt. so that we can write Y = Y (X) = A + A, =