The wavelength of light impacts the efficiency of photosynthesis. Suppose that light with a mean wavelength of x nm causes photosynthesis to produce E(x) grams of glucose per hour. Green light has a mean wavelength of 510 nm, and it induces the following values in a particular specimen: E(510) = 10, E'(510) = 0.05, E″(510) = −0.01, and E″(510) = 0.12. Use these to estimate the rate of glucose production for a mean wavelength of 500 nm (blue light) via a degree-3 Taylor polynomial.

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6. The wavelength of light impacts the efficiency of photosynthesis. Suppose that light with a
mean wavelength of x nm causes photosynthesis to produce E(x) grams of glucose per hour.
Green light has a mean wavelength of 510 nm, and it induces the following values in a particular
specimen: E(510) = 10, E'(510) = 0.05, E"(510) = -0.01, and E" (510) = 0.12. Use these
to estimate the rate of glucose production for a mean wavelength of 500 nm (blue light) via a
degree-3 Taylor polynomial.
Transcribed Image Text:6. The wavelength of light impacts the efficiency of photosynthesis. Suppose that light with a mean wavelength of x nm causes photosynthesis to produce E(x) grams of glucose per hour. Green light has a mean wavelength of 510 nm, and it induces the following values in a particular specimen: E(510) = 10, E'(510) = 0.05, E"(510) = -0.01, and E" (510) = 0.12. Use these to estimate the rate of glucose production for a mean wavelength of 500 nm (blue light) via a degree-3 Taylor polynomial.
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