MATH114 Lecture Notes - Lecture 16: Chain Rule, Light Beam, Marginal Cost

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orangeturtle356

25 Oct 2018

School

University of Alberta

Department

Mathematics

Course

MATH114

Professor

Alsaody,Seidon

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MATH114 Lecture Notes - Lecture 14: Implicit Function, Quotient Rule, Logarithmic Differentiation

MATH114 Lecture Notes - Lecture 16: Chain Rule, Light Beam, Marginal Cost

MATH114 Lecture Notes - Lecture 17: Linear Approximation, Lincoln Near-Earth Asteroid Research, Maxima And Minima

Document Summary

Math 114 lecture 16 application of derivatives. Average rate of change (cid:3052) (cid:3051)=(cid:4666)(cid:3051)(cid:3118)(cid:4667) (cid:4666)(cid:3051)(cid:3117)(cid:4667) (cid:3051)(cid:3118) (cid:3051)(cid:3117) (cid:3051)(cid:3118) (cid:3051)(cid:3117) =(cid:1858) (cid:4666)(cid:1876)(cid:2869)(cid:4667)=(cid:3052)(cid:3051) Example (physics): a particle moves according to (cid:1871)(cid:4666)(cid:1872)(cid:4667)=(cid:1872)(cid:2871) (cid:891)(cid:1872)(cid:2870)+(cid:887)(cid:1872) At rest v(t) = 0 (cid:885)(cid:1872)(cid:2870) (cid:883)(cid:890)(cid:1872)+(cid:887)=(cid:882) (cid:1872)=(cid:883) (cid:1840)(cid:1830) (cid:1872)=(cid:887) {(cid:1874)(cid:4666)(cid:1872)(cid:4667)

Related Questions

the function s=-t^3+6t^2-12t, 0<=t<=5, gives the position of a body moving on a coordinate line, with s in meters and t in seconds.

a. find the bodys displacement and average velocity for the given time interval

b. find the bodys speed and acceleration at the endpoints of the interval

c. when, if ever, during the interval does the body change direction?

what is the bodys displacement fo the given time interval? ? m

what is the average velocity for the given time interval? ? m/s

what is the bodys speed at t=0? ? m/s

what is the bodys speed at t=5? ? m/s

what is the bodys acceleration at t=0? ? m/s^2

what is the bodyys acceleration at t=5? ? m/s^2

when, if ever, during the interval does the body change direction? select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. t=? sec

b. there is no solution

num 5

I need help please.

MATH114 Lecture Notes - Lecture 16: Chain Rule, Light Beam, Marginal Cost

MATH114 Lecture Notes - Lecture 14: Implicit Function, Quotient Rule, Logarithmic Differentiation

MATH114 Lecture Notes - Lecture 16: Chain Rule, Light Beam, Marginal Cost

MATH114 Lecture Notes - Lecture 17: Linear Approximation, Lincoln Near-Earth Asteroid Research, Maxima And Minima

Document Summary

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