practice-quiz2

practice-quiz2 - the quantity, from 20 mg to 15 mg.) 6....

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AMS 311 (Fall, 2009) Joe Mitchell Applied Calculus I Practice Problems for Quiz # 2 1. Solve for x : 4 · 2 2 x - 1 - 3 · 5 x = 0. 2. Determine which function has a larger value as x → ∞ : (a). f ( x ) = 5 · x 2 - 57 x or g ( x ) = 0 . 002 · (1 . 001) x (b). f ( x ) = log 4 x or g ( x ) = 3 · log 2 x 3 3. Find the inverse function of y = g ( t ) = 3 e t +4 - 2. 4. Let y = h ( x ) = 2 3 - e - x 2 . (a). Is h increasing or decreasing? (b). Find a formula for h - 1 ( u ). 5. As a new-born infant, Joe was exposed to radioactive strontium-90 in 1968. The half-life of strontium-90 is 29 years. From age 10 to age 20, what was the percentage decrease in the quantity of strontium-90 in Joe’s bones? (For example, if Joe had 20 mg in his bones at age 10 and had 15 mg in his bones at age 20, there was a 25% decrease in
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Unformatted text preview: the quantity, from 20 mg to 15 mg.) 6. Find the equation of a line of slope 1 that is at distance 1 from the origin? (The distance from the origin to a line L is the distance from the point (0,0) to the point, p , on L that is closest to (0,0) among all points on L .) How many such lines are there? 7. Let f ( x ) = 2 x and g ( x ) = x 3-7. (a). Determine g ( f ( y )). (b). Which function has a larger value as x → ∞ : g ( f ( x )) or f ( g ( x ))? 8. Plot f ( x ) =-3 cos( x-π ). Be sure to mark important points on the axes!...
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This note was uploaded on 02/07/2010 for the course AMS 151 taught by Professor Zhang during the Fall '08 term at SUNY Stony Brook.

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