Final 3-7.doc - 3 Question 1 Show clearly how you can find...

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3 Question 1Show clearly how you can find each of the limits below without using a calculator. If the limit does not exist, say so. If the limit does not exist because the function becomes arbitrarily large positive or negative, give ∞ or -∞ as the answer, whichever is correct.(3) a) 342limxxx(3) b) 342lim3xxx(3) c) )sin(limxQuestion 2 Suppose you're resizing a window on your computer screen. Let xrepresent the width of the window (in pixels), ythe height of the window (in pixels), and Athe area of the window. (2) a) Write an equation that expresses the relationship between A,xand (3) b) Differentiate each side of that equation to find a relationship between ,,,dtdydtdxdtdAxand (3) c) If your window starts at 300 pixels wide and 500 tall when t= 0, and you increase the width by 20 pixels/second while decreasing the height by 35 pixels per second, how fast is the area changing when the window measures 340 pixels wide by 430 pixels tall?xy.y.

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