# Example 11 Suppose That A Certain Plant Is Grown Along A Gradient Ranging From N

I need help with these calculus questions. Questions 11 to 21.

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Example 11 Suppose that a certain plant is grown along a gradient ranging from nitrogen-poor tonitrogen-rich soil. Experimental data show that the average mass per plant grown in a soil with a totalnitrogen content of 100mg per kg of soil is 2.7g and the rate of change of the average mass per plant at thisnitrogen level is 1.05 – 10’3g per mg change in total nitrogen per kg of soil. Use a linear approximation topredict the average mass per plant grown in a soil with a total nitrogen content of 1100 mg nitrogen per kgof soil. Example 12 Assume that the measurement of a: is accurate within 2%. Determine the error Af and the1 1+2: percentage error in f if f (as) = and the true value of a? is 4. Example 13 A rectangle has its base on the m—exis, its lower left corner at (0, 0)= and its upper righgcorner on the curve 3; = 1/3: What is the smallest perimeter the rectangle can have? Example 14 Find the dimensions of a right circular can (with bottom and top closed) that has a volumeof 1 liter and that minimizes the amount of material used.

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