MAT135H5 S - WINTER 2023 - WRITTEN ASSIGNMENT 3 Question 2. You are sitting in one of your MAT135 classrooms. You want to maximize your viewing angle of the projection screen in the centre of the room. (1) Draw a simplified diagram of this situation that includes all relevant measurements. You may estimate any relevant measurements about the room. Describe all assumptions and simplifications you are making. (2) Find the seat where you should sit to maximize your "viewing angle" (the angle formed between your eye, the top of the projection screen, and the bottom of the screen).& Down Page 5 of 6 MAT135H5 S - WINTER 2023 - WRITTEN ASSIGNMENT 3 Question 3. Sketch the graph of the function f (x) = 2 + 45 x2 + 1000 on the domain [-50, 50]. Indicate any local max/mins, absolute max/mins, inflection points. Give the intervals on which the function is increasing/ decreasing, and the intervals on which the function is concave up/down.LD Page 6 of 6 6 MAT135H5 S - WINTER 2023 - WRITTEN ASSIGNMENT 3 Question 4. Recall the set-up for question 1 on Written Assignment 1 ("the tipi problem"): One person ("the observer" ) puts their eyes to the ground "a decent distance" from the tipi, and another person ("the stander") stands between the observer and the tipi so that, to the observer, the top of the stander's head lines up with the top of the tipi (where the poles meet). Now assume that the observer starts walking away from the tipi at a rate of 2 m/s (head still on the ground). So the stander now must move so that their head still appears to line up for the observer. (1) What rate must the "stander" move to keep staying in the right relative position for the observer? (You may use any measurements from the posted solutions to WA1.)(2) Is this the same as the "shadow problem" from Example 3 on page 7 of the Chapter 4 slides? Explain why it's the same problem, or explain how it differs from that