10. Let f and g be differentiable functions for which the following information is known: f(2) = 5, g(2) = -3, f'(2) = -1/2, g'(2) = 2. a. Let h be the new function defined by the rule h(z) = 3f(x) - 4g(x). Determine h(2) and h'(2). b. Find an equation for the tangent line to y = h(x) at the point (2, h(2)). c. Let p be the function defined by the rule p(x) = -2f(x) + 79(x). Is p increasing, decreasing, or neither at a = 2? Why? d. Estimate the value of p(2.03) by using the local linearization of p at the point (2, p(2))