1. The rate of photosynthesis R for a certain plant depends on the intensity of light x,...

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1. The rate of photosynthesis R for a certain plant depends on the intensity of light x, in lumens, according to

R = 270x - 90x2

Sketch the graph of this function, and determine the intensity that gives the maximum rate?

2. A ball thrown vertically into the air has its height above ground given by

s = 112t - 16t2

where t is in seconds and s is in feet. Find the maximum height of the ball?

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