Solve the following system of nonlinear equations: -2x^3+3y^2+42=0 5x^2+3y^3+69=0 Use Newton's method. Start at x=1, y=1, and carry out the first five iterations. Use the fixed-point iteration method. Use the iteration functions y=(-5x^2+69/3)^1/2 and x=(3y^2+42/2)^1/3. Start at x=1, y=1, and carry out the first five iterations.

Given the choice between receiving $1.000.000 in one month or a single penny-doubled everyday for the period of one month; which option would you choice? show your work to support your answer. (assume that 1 month=30 days)

Refer to the table below if needed. second quadrant third quadrant fourth quadrant sin(1800- - cos(180° -) tan(180°-e) =- tane cot(1800-0) 10 it to solo 888 sin(180° +c) = - sine cos(180° +) =- cose tan(180° +c) = tane cot(180° +o) = cote sec(180° + c) = - seco csc(180° +2) = - csce sin(360° -) =- sine cos(360° -) = cose tan(360° - e) =- tane cot(360° -) = -cote sec(360° -) = seco csc(360° -) = csco sec(180° -) = csc(180° -) = csca 1991 given that sine = 3/5 and lies in quadrant ii, find the following value. tane

Can you divide 25 into 4 equal groups? explain why or why not.