The function x) = 233 303:2 + 96x + 1 has one local minimum and one local maximum. U5e a graph of the function to estimate these local extrema. This function has a local minimum at I = o\" with output value C] and a local maximum at a: = 2 v' o\" with output value Find the critical numbers of the function f(x) = -12x* + 15x* + 80x - 2 and classify them using a graph. is a Select an answer is a Select an answer is a Select an answerConsider the function x) = 3 _ The: on the interval [1.4]. Find the average or mean slope of the function on this interval, i.e. fl4lfEll J 4 (1) _ By the Mean value TheoremJ we know there exists a c in the open interval {1,4] such that j\"(c] is equal to this mean slope. For this problem; there is only one c that works. Find it. |:] Use the quotient rule to find the derivative of 5e + 10 -7x10 - 1025 Use e^x for e" . You do not need to expand out your answer. Be careful with parentheses!45in2.' Let HI) = sinx + 4-3053:- mm _ The equation of the tangent line to y = firs) at a = can be written in the form 3; = m; + b where \fA police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 35 feet per second. How fast is the red car actually traveling along the road? The actual speed (along the road] of the red car is feet per second A Ferris wheel is 10 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 1 minutes. How many[ minutes of the ride are spent higher than 19 meters above the ground