Choose all the correct statements about the function: y = -4 sin(3x) +5 The amplitude of the sine function is -4. 2n The period of the sine function is . The midline equation for the function is y = 5 The maximum y value that the function will reach is 9. The minimum y value that the function will reach is -4.

Sketch the graph of the function. y = 3 sin 2x/5

Sketch the graph of the function defined by the equation . Indicate the image, amplitude, period and phase shift of this function.

Using the following finite difference methods to estimate the first derivative of the function f(x) = e = 0.5. Then compare your numerical approximations from -x cos 2TX Over the range 0 < x < 2 with step size h each method with the analytical solution by computing the relative error at each value of x. Forward difference, 0 (h) b. Backward difference, 0(h) Central difference, O(h²) а. С. d. Build a table of relative errors to check the accuracy of your solutions against the analytical solution.