Find the equation of the line tangent to f (2:) 21:2 l a: l 3 which is parallel to the equation 53: y : 3 The value V of a painting, t years after it is purchased can be modeled by the function V (t) = 100::+50 + 400 for 1 g t S 5. 1. nd the rate of change in the value V with respect to time. 2. What is the rate of change in value after 3 years? 0.4: 2t2+1 ' The concentration of a drug in a patient's blood, t hours after injection is given by the function f (t) = 1. Find the rate of change of the concentration with respect to time. 2. What is the rate of change of the concentration after 45 minutes? Two functions are defined f (x ) = 5x2 + 32x + 1 and g (x) = 4e. If h (ac) = 2f (x) g (x) 1. find h' (a) 2. find h' (3)