IMG_20191002_121327__01.jpg - These are the questions asked by Prof Cohen in the Fall 201 1 semester for Math 220 Exam 1 First step for this review

# IMG_20191002_121327__01.jpg - These are the questions asked...

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Unformatted text preview: These are the questions asked by Prof. Cohen in the Fall 201 1 semester for Math 220 Exam 1. First step for this review session: Read all of the questions, and make some notes about how you'd go about answering them, including steps and a list of any formulas you will need (either by name or written out with variables. You'll have about 10 minutes for this part. When you've written your notes for every part of every question, start working on answers until I call time and move you to the next step. 1. (20 points) Let f(x) = 1213 + 4x2 - 2x + 7. (a) What is the average rate of change of f on the interval 0 to 2? (b) What is f'(1)? (c) What is f"(-1)? (d) What is the (instantaneous) rate of change of f at the point I = 2? 12 2. (20 points) (a) For what values of r does f(r) = 4 + 2x3 - 12x2 + r + 3 have a point of inflection? (b) List all the intervals on which f(r) = 213 - 312 - 121 + 5 is increasing and those where it is decreasing? 3. (15 points) (a) Find the equation of the line tangent L to the curve y = V2r + 4 at the point r = 6. Special instructions for this one: As part of your "notes" process, write out the first derivative of y. 74 (b) Find the equation of the line perpendicular to L through the same point on the curve....
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