Using calculus and algebraic techniques, determine the point(s) of a tangent to the curve g(x) = + x 3x + 8x 2 perpendicular to 2x + 48y = 9. Round answer(s) to 1 decimal place. 5. Canada's most prestigious golfer, Brooke Henderson, drives a golf ball upward with the distance function s (t) = -5t + 25t where time is in seconds and distance in metres. Find the maximum height of the ball and determine the acceleration of ball as it hits the ground. and acceleration of the ball is :. The maximum height of the ball is 6. Scotiabank Arena, home of the Toronto Raptors has the capaicity of 20 000 where fans pay an average of $150 per ticket. Research shows that for every $10 increase in price 50 fewer fans will go to the game. Determine the demand function and determine and explain the change in revenue if 25 000 fans attend. 4. Determine the point (s) on the curve y = x + 6 whose tangent line(s) passes through (2,1). Use an algebraic solution for your answer and support it with the appropriate graphs c) When finding the derivative of a quotient, do you have to use the Quotient Rule? Explain. d) Does the derivative of h(x) = x have the same range as h(x)? Explain. f) Explain and illustrate two distinct situations in which a function does not have a derivative at x = -2 g) Explain and illustrate what the derivative of a function represents.