(a) Determine the exact time, tr, at which the rock hits the river by solving the equation h(t) = 0 for t. (b) Sketch a graph of y = h (t) for 0≤t≤t seconds. (c) Using your graph from (b), deduce the maximum height attained by the rock above the river.

f(x) = 4x + 2 at (1, 6), Solve, a. Find the slope of the tangent line to the graph of f at the given point. b. Find the slope-intercept equation of the tangent line to the graph of f at the given point.

The value of the fuction f(×) is 600 when x= 0 and decreases by 9% for every one - unit increase in x .complete the equation that represents the fuction f(×).

What is the maximum height of the ball and when does it hit the ground if a ball is thrown with a velocity of 40ft/s, its height (in feet) after t seconds is given by h(t)=-16t2+40t.

The graph of FX home alone resembles the graph of GX = x ^ 2 but it has been stretched somewhat and shifted which of the following could be the equation of FX?

Use the following model for the annual revenue for Amazon: R(t) = 386.06(1.31)t t is the time in years since 2020 and R(t) is in billion dollars. a) Identify whether the function is linear or exponential. Briefly explain how you know based on the formula for R(t). b) Identify the constant percent rate. Explain in a sentence what this means about Amazon's revenue changing with respect to time. c) Calculate R(0) and explain what it means in terms of Amazon's revenue and time.

The respiration rate R (in litres/min) of a boy can be modelled by the equation R = 6-3 cost, where t is the time (in minutes) at which the respiration rate is measured. (i) Explain why this model suggests that the respiration rate, R (in litres/min) of the boy is 3

The national catch of Atlantic Cod has been declining in the past few decades.We can model this decline with the equationy =-0.003t2 + 0.120t + 1.909 where t is the number of years since 1950 and y is the catch in millions of metric tons.a. In which year did the catch reach its maximum?b. In which year will the catch reach 0?