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Climate change is resulting in earlier and earlier springs, this results in the evolution of flowers to bloom (their phe- nology) earlier every year. You measure the average blooming time every spring for 10 years (see table below). A. Using the definition of the derivative, approximate the rate (aka the derivative) of the phenological change at year 5. year 1 2 3 4 5 bloom (wk) year bloom (wk) 6 7.47 5.49 4.23 3.08 2.45 7 8 9 10 1.6 1.03 0.82 0.75 0.33 6 0 0 2 4 6 Years 8 10 Poll 1: Using At = 2 instead what is your approximation of the derivative: A. -0.71 B. -0.89 C. -0.74

Climate change is resulting in earlier and earlier springs, this results in the evolution of flowers to bloom (their phe- nology) earlier every year. You measure the average blooming time every spring for 10 years (see table below). A. Using the definition of the derivative, approximate the rate (aka the derivative) of the phenological change at year 5. year 1 2 3 4 5 bloom (wk) year bloom (wk) 6 7.47 5.49 4.23 3.08 2.45 7 8 9 10 1.6 1.03 0.82 0.75 0.33 6 0 0 2 4 6 Years 8 10 Poll 1: Using At = 2 instead what is your approximation of the derivative: A. -0.71 B. -0.89 C. -0.74

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Climate change is resulting in earlier and earlier springs, this results in the evolution of flowers to bloom (their phe- nology) earlier every year. You measure the average blooming time every spring for 10 years (see table below). A. Using the definition of the derivative, approximate the rate (aka the derivative) of the phenological change at year 5. bloom (wk) 7.47 5.49 4.23 3.08 2.45 year 1 2 3 4 5 year 6 7 8 9 10 bloom (wk) 1.6 1.03 0.82 0.75 0.33 Weeks of year 2 0 0 2 4 6 Years 8 10 Poll 1: Using At = 2 instead what is your approximation of the derivative: A. -0.71 B. -0.89 C. -0.74
Transcribed Image Text:Climate change is resulting in earlier and earlier springs, this results in the evolution of flowers to bloom (their phe- nology) earlier every year. You measure the average blooming time every spring for 10 years (see table below). A. Using the definition of the derivative, approximate the rate (aka the derivative) of the phenological change at year 5. bloom (wk) 7.47 5.49 4.23 3.08 2.45 year 1 2 3 4 5 year 6 7 8 9 10 bloom (wk) 1.6 1.03 0.82 0.75 0.33 Weeks of year 2 0 0 2 4 6 Years 8 10 Poll 1: Using At = 2 instead what is your approximation of the derivative: A. -0.71 B. -0.89 C. -0.74
Fitting the data with the polynomial: F(y) = 8.92 - 1.81y+0.19y² B. Using the definition of the derivative calculate the exact derivative at y = 5. Weeks of year 8 CO 2 0 0 2 4 f[y]=8.92+-1.81y+0.19y² Years 6 Poll 2: What is this limit? A. 0 B. 0.38t C. -1.81 +0.38t 8 10 Self work: Describe how well the approximate and exact derivatives compare.
Transcribed Image Text:Fitting the data with the polynomial: F(y) = 8.92 - 1.81y+0.19y² B. Using the definition of the derivative calculate the exact derivative at y = 5. Weeks of year 8 CO 2 0 0 2 4 f[y]=8.92+-1.81y+0.19y² Years 6 Poll 2: What is this limit? A. 0 B. 0.38t C. -1.81 +0.38t 8 10 Self work: Describe how well the approximate and exact derivatives compare.
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