MATH 220 - ANALYTIC GEOMETRY AND CALCULUS I - FALL 2020
REVIEW FOR EXAM 1
โขExam 1 is on Thursday September 10th at 7:05pm-8:20pm using Crowdmark and
proctored via Zoom. You will have extra time to allow for the submission process in
Crowdmark. More details will be given in due course.
โขYou will need a computer, a camera or phone to take pictures of the solutions and a
webcam so that you can be seen via Zoom at all times.
โขExam 1 covers Sections 2.1-2.4 & 3.1 of the book.
โขNo books, notes, calculators, formula sheets, internet websites or resources (other than
Crowdmark) are permitted. Cell phones are only allowed to be used to take pictures
of the solutions to be uploaded to Crowdmark.
โขMake sure to read all emails and announcements posted in Canvas about Exam 1.
REVIEW PROBLEMS.
1. An object moves in a straight line. The position in feet after tseconds is given by
s(t)=5โ8
t+ 1.
(a) What is the average velocity between time t= 1 and t= 3 ?
(b) Take a limit to find the instantaneous velocity at time t= 3 .
2. Evaluate the limits. Write does not exist where appropriate.
(a) lim
xโ2
7x+3
โ2x+ 4
x2+ 4 (b) lim
xโ2
x2โ7x+ 10
x3+ 3x2โ10x(c) lim
xโ5
โx+ 4 โ3
x2โ25
3. (a) Use the limit definition of derivative to find f0(3) for f(x) = 2x2+ 3xโ1 .
(b) Give the equation of the line tangent to y= 2x2+ 3xโ1 at x= 3 .
