MATH 150 Midterm: MATH150 MATH150-MT1-a

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31 Jan 2019
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#1 3 of 16: a 10-ft wall stands 5 ft from a building and a ladder of variable length l, supported by the wall, is placed so it reaches from the ground to the building. Let y denote the vertical distance from the ground to the building, and let x denote the horizontal distance from the wall to the base of the ladder. [4] (a) find an expression for the length l as a function of x only. #1 5 of 16: compute the following limits. [4] (e) sketch a graph of a function f which satis es all of the following properties: f (0) = 0. 2. lim x f (x) = 6 lim x f (x) = 4 f (x) = 2. [2: (a) give an example of a function which is not de ned at x = 1 and it does not have a limit at x = 1.

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