7. A tennis ball is thrown upwards from the top of a 30-foot high building. Its height, in feet above the ground, t-seconds after it is thrown is given by h=-16r2 +80t +30 . (a) Algebraically determine the time when the tennis ball reaches its greatest height. What is that height? (b) Using your calculator, sketch a general graph showing the ball's height for all times where 120 and h20. Label the information you found in part (a). (c) Using the ZERO command on your calculator, determine the amount of time the ball stays in the air. Round your answer to the nearest tenth of a second and label this on your graph drawn in part (a). (d) The whenever it is at a height of at least 100 feet. Graphically determine the interval of time that the ball can be seen. Show the work on your can be seen from the ground graph from in part (b).

“e” was very happy as he was going to six flags. He pictured the perfectroller coaster and wondered what the equation of such a perfect roller coaster would be. Atsix flags, he discovered the following equation:h(d) = d3-7d2+8d+1where h (d) represents the vertical height above the ground and d represents the horizontal distance the roller coaster has travelled.Using calculus methods only, sketch the function by stating all the following:o Any asymptotes o The y-intercept o The first and second derivative o All critical points and whether they are the maximum, minimum, or neither. o All inflection points and the concavity to the left and right of the points o Graph Show all your work

helpp....i did half

K Match each equation with a graph above 3(1.18)" a. green (G) ]3(1.59)" b. blue (B) 4(1.18)" c. orange (O) d. black (K) 3(0.81)" e. red (R) 3(0.7)" Get help: Video МacBook Pro