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(b). Use the definition of the derivative to evaluate f(x)=x". Hint: Use the Binomial Theorem: n(n-1)-26. +...+ nab"+ b" .] (a+b)" =a" +na""b a" 2! %3D

(b). Use the definition of the derivative to evaluate f(x)=x". Hint: Use the Binomial Theorem: n(n-1)-26. +...+ nab"+ b" .] (a+b)" =a" +na""b a" 2! %3D

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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b) use the defintion of the derivative to evaluate f(X)=X2

V Draw Highlight Erase x-2 f(x)= ax-bx+3 if 2<x<3. 2x-a+b if x23 Page | 1 (b). Use the definition of the derivative to evaluate f(x)=x". [Hint: Use the Binomial Theorem: n(n-1)-2,2 +..+ nab" +b" (a+b)"=Da" +na" 'b+ 2! (c). The amount of photosynthesis that takes place in a certain plant depends on the intensity of light x according to the equation S(x)%3D145X-30x'. (i). Find the rate of change of photosynthesis with respect to the intensity. (11). What is the rate of change when x=1? when x=3? (111).How fast is the rate found in part (a) changing when x= 1? when x= 3? (d). A mathematical biologist is created a model to administer medicine reaction (measured in change of blood or temperature) with the model given by
Transcribed Image Text:V Draw Highlight Erase x-2 f(x)= ax-bx+3 if 2<x<3. 2x-a+b if x23 Page | 1 (b). Use the definition of the derivative to evaluate f(x)=x". [Hint: Use the Binomial Theorem: n(n-1)-2,2 +..+ nab" +b" (a+b)"=Da" +na" 'b+ 2! (c). The amount of photosynthesis that takes place in a certain plant depends on the intensity of light x according to the equation S(x)%3D145X-30x'. (i). Find the rate of change of photosynthesis with respect to the intensity. (11). What is the rate of change when x=1? when x=3? (111).How fast is the rate found in part (a) changing when x= 1? when x= 3? (d). A mathematical biologist is created a model to administer medicine reaction (measured in change of blood or temperature) with the model given by
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