I need these answered ASAP. Please ignore writing under question 1. please complete it on paper since it is easier to see what calculations are being made. thanks

1. Find all points, in the domain -2TT S 0 S 2TT, on the curve y = 4 sin 0 such that the slope of the tangent line is -4. 41= 4coso * 4 = 4cost 2. Examine the function. - 1 = COB D - 3X 2 5t 3 5 X -2 a) Write the sinusoidal function for the graph shown. b) Find the derivative of the function and sketch it. c) Where does the slope of the tangent have a maximum value? 3. Determine for what values of x, where -2TT S x S 2TT, is the tangent line to y = sin x + cos x horizontal. 4. Explain why the derivatives of y = sin x and y = sin x + 3 are the same. 5. a) Verify that the point (TT, 0) is on the function y = x2sin x. Plug b) Find the slope of the tangent line to y = x sin x at this point. c) Find the equation of the tangent line at this point. 6. Find the equation of the line tangent to y = sin? 3x at x = "