please solve the problems shown in the pictures, thank you!!

\f\f\f\f\f(1 point) Find an equation for the line tangent to the graph off at (1, 8), where f is given by f(x) = 4x3 4x2 + 8. y: (1 point) On what intervals is the function f(x) = x - 9x both decreasing and concave up? interval(s) = (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5), (7,10) .)(1 point) At a time 1 seconds after it is thrown up in the air, a tomato is at a height (in meters) of f(r) = 4.91'2 + 5513 + 3 m. A. What is the average velocity of the tomato during the first 4 seconds? (Include units.) B. Find (exactly) the instantaneous velocity of the tomato at t = 4. (Include units.) 0. What is the acceleration at t = 4? (Include units.) D. How high does the tomato go? (Include units.) E. How long is the tomato in the air? (Include units.) \f\f\f