Assignment:
Q1) Make a List of 10 Mathish words or terms that were covered in this Calculus class and provide a brief definition (more than 10 words)
Q2) If Zero * Infinity is considered Non-Sense, What is Zero divided by Infinity? Give a 25 word or so explanation.
Q3) Write the sum 2 + 4 + 6 + .....+ 98 + 100 in summation notation.
Q4) You want to make a tin can using as little material as possible. If the volume of the can is 64 cubic inches, what should the radius and height of the can equal?
Q5) A farmer with 750 feet of fencing wants to enclose a rectangular area, and then divide it into 4 pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?
Q6) Evaluate
Limit |X|
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X ->0- X
Q7) A car A is traveling north (up) along the y -axis while a car B is traveling west (to the left) along the x -axis. At a particular instant, car A is at the point (0, 40) (mi) and traveling north at 50 mi/hr while car B is at (30,0) and traveling west at 30 mi/hr. At what rate is the distance between the two cars changing at this instant?
Q8) What is the asymptote of the curve x+1/x. Write a Mathish expression for the Limit.
Q9) Write the sum (using summation notation) for the approximation to the area under the curve y = x^3 on the interval [1, 3] using 4 equal subintervals, and using the "midpoint rule". You needn't actually calculate the sum.
Provide complete and step by step solution for the question and show calculations and use formulas.