Page of 11 - ZOOM + 4. A potato is placed in an oven, and the potato's temperature F (in degrees Fahrenheit) at various points in time is taken and recorded in the following table. Time t is measured in minutes. Table: Temperature data in degrees Fahrenheit. 10 20 50 60 F(t) 60 170 240 296 310 330 340 Use a central difference to estimate the instantaneous rate of change of the temperature of the potato at t = 30. Include units on your answer. [1]Page of 11 - ZOOM + 5. Consider the function y = g(x) = x2 + 2x + 2 a. Find the derivative to compute a formula for g'(z). [0.5) b. Determine the slope of the tangent line to y = g(x) at the value r = 1. [0.5] c. Compute g(1). [0.5] d. Find an equation for the tangent line to y = g(z) at the point (1, g(1)). [0.5]Page of 11 - ZOOM + b. Determine the slope of the tangent line to y = g(r) at the value r = 1. [0.5] c. Compute g(1). [0.5] d. Find an equation for the tangent line to y = g(z) at the point (1, 9(1)). [0.5] 6. Let f and g be differentiable functions for which the following information is known: f(1) = 5, g(1) = -3, f'(1) = -1/2, g'(1) = 2. Let h be the new function defined by the rule h(z) = 4f(x) + 39(r). Determine h(1) and h'(1).Page of 11 - ZOOM + 10. Chain rule with function values. Given F(3) = 0, F'(3) = 4, F(4) = 3, F(4) = 5 and G(0) = 2, G'(1) = 3, G(3) = 4, G'(3) =5. Find H'(3) if H(x) = F(G(I))