need to get all the answers for this attachment. Thanks!!

 

 

MAT 271 Lab 3 Derivatives and Tangent Lines
For each function below in problem 1 and 2,
I. Symbolically:
a. Find the derivative at any x using
derivative rules,
b. Evaluate the derivative at the specified
points,
c. Specify all x-values where the derivative
does not exist.
1. f ( x) | sin( x) | for 2 x 2 at x 1 II. Use a graphing utility to:
a. Graph the function (1st axes),
b. Draw the tangent line at the specified
points on the function graph,
c. Graph the derivative showing
all asymptotes and holes (2nd axes).
and x 2 f (x) f (1) _______________
f (2) _______________ f (x) undefined at x = 2. x2 2 , x 1 f ( x) 2 x 1 , 1 x 1 2 3 4 3 x , x 1 at x 2 and and x 0 and x 3 f (x) f ( 2) _______________ f (0) ________________
f (3) ________________
f (x) undefined at x = ________________ Applications. Show all work clearly on other paper for each of the following problems. 1. An environmental study of a suburban community suggests that t years from now, the level of carbon
monoxide in the air will be
parts per million.
a. What is the numerical value of the average rate of change in carbon monoxide levels over the
next twenty years? Interpret this value in context of the problem.
b. What is the instantaneous rate of change of the carbon monoxide level one year from now?
Interpret this value in context of the problem.
2. The graph below represents the growth of a certain population. The population is in thousands and
the time is in years. Use it to answer the following questions. a. What is the initial population? Use function notation to express your answer.
b. What is the average rate of change in the population from year 2 to year 3? Illustrate on the
graph above the line that shows this rate. Interpret this value in context of the problem.
c. Estimate the instantaneous rate of change in the population at year 4? Illustrate on the graph
above the line that shows this rate. Interpret this value in context of the problem.
d. When is the population changing at the fastest rate?
e. What is the limiting value of the population? Express your answer as an appropriate limit.
f. What is the limiting value of the rate of change in the population? Express your answer as an
appropriate limit. 3. An object’s height (in feet) above the ground as a function of time (in sec) is given by
s (t ) 16t 2 200t 50 . Find the instantaneous velocity at t = 2, 6, and 12 seconds. Also, find the
instantaneous velocity when the object reaches its maximum height and find the maximum height.

• 1492844302-Lab 3 - derivatives and tangents.doc

ComputerScienceExpert

(11)

Status NEW Posted 22 Apr 2017 06:04 AM My Price 9.00

-----------

Attachments

file 1492844303-Solutions file 2.docx preview (51 words )

H-----------ell-----------o S-----------ir/-----------Mad-----------am ----------- Th-----------ank----------- yo-----------u f-----------or -----------you-----------r i-----------nte-----------res-----------t a-----------nd -----------buy-----------ing----------- my----------- po-----------ste-----------d s-----------olu-----------tio-----------n. -----------Ple-----------ase----------- pi-----------ng -----------me -----------on -----------cha-----------t I----------- am----------- on-----------lin-----------e o-----------r i-----------nbo-----------x m-----------e a----------- me-----------ssa-----------ge -----------I w-----------ill----------- be----------- qu-----------ick-----------ly -----------onl-----------ine----------- an-----------d g-----------ive----------- yo-----------u e-----------xac-----------t f-----------ile----------- an-----------d t-----------he -----------sam-----------e f-----------ile----------- is----------- al-----------so -----------sen-----------t t-----------o y-----------our----------- em-----------ail----------- th-----------at -----------is -----------reg-----------ist-----------ere-----------d o-----------n -----------THI-----------S W-----------EBS-----------ITE-----------. ----------- Th-----------ank----------- yo-----------u -----------

Not Rated(0)

• Buy Answer