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MA 1021  2009 A Term Section A02 ‘
September 8, 2009 Quiz — Sections 1.11.5, 2.1—2.4, 3.1 This quiz contains eight problems with an assigned point value as shown below.
No calculators, notes, or books may be used on this quiz. No additional time will be given beyond the end of class to ﬁnish the guiz. You may earn partial credit on some questions, so be sure to show your work and/or explain things that you want me to be aware of! 1. Answer the following true/false questions by circling the right answer.
The ﬁrst question has been done for you. a. All students taking MA 1021 in A Term 2009 will take a common
ﬁnal exam on Wednesday evening, October 14, 2009, and should
have already cleared their calendar for this time. r FALSE b. Students taking MA 1021 in A Term 2009 will have unlimited
chances to pass the Basic Skills component of the ﬁnal Shdenﬁ who do no! Pas: the Bank Skit/’ 0? k5! but?! be ‘3an 2 add: {Ion9.! c. It is possible for a tangent line to intersect a function at three points. or FALSE d. The deﬁnition of a derivative can be expressed as , Jami—ﬁx) “Ne?” If" “M
f(x)———h“'"— TRUE or his; in mere . COS x
e. The basic “trig limit identity” says: 11m ( )21 550914 64?
H0 x " 51316:) ” f. How much dirt is there in a perfectly rectangular hole that is 1 yard
across, 2 feet Wide, and 8 inches deep? You must express your
answer in cubic inches and you cannot use a calculator. ‘ . * 3
7702“? If no oarI In a hole— answer Is Ola 2. You are given f(x) = x2 + 3x — 5
Use the deﬁnition of the derivative to ﬁnd f'(x) Be sure to use the four step process we discussed in class. + ~19)
GENERALZ (16‘) : Lg: 47x In: K $P€CIFIC ? C [W (We L
2—: :2 a .5: r V? 7.,_L(
_... l %+éﬁhfh+§ﬁ+5h*)rh‘)f\T’J
r m.
hao L‘
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Do 2. MM ZXLrL‘ + 3
§OME LG”) L
ALGEBFA
: “'M 2x + in —t 3
héb
ALUME
EV “* 1M:— 3 3. You wish to enclose your prize Hereford cattle in pens made of the ﬁnest
mahogany fencing, which costs $100 per foot of material. You need six
pens, and have decided to build them as shown below. You have a budget of
$72,000 for this project (nothing is too good for your cowsl). Express the
area of each pen as a function of its width, labeled as “x” in the picture. 4. You leave home at time t=0, and drive north at 40 miles per hour for two
hours. You stop to admire a beautiful sunset for 30 minutes. You then drive
south at 60 miles per hour for one hour, and your car catches on ﬁre. It will never move again. Describe your distance “d” from home as a function of
time, and sketch the function on the graph below. 40+ cum. I
‘/
om 254<Za
do): 8 7
L '20 , 372.61% < rw 5. For the right triangle shown below, you are given: A=3+log5100wlog54
B=1+1n(e”) Calculate 6. Calculate each of the following limits — be sure to show your work! , 4tan(7x)
3. Determine 11111——
x—>0 3x
_, [m may sin7x U=7x
X90 36os7x 7x UA’O m Kg? 0
: 21.8.... llm 5121:) : 28
2 LPN: u ‘3'
, l—cosz(9x)
b. Determine 11m———2—
x—>0 25x
v 7. r 2
f [m sun (amt my. {swag}
Ho 2528 Y—‘w 9x < 1m 81 [5am ’ U= 51x ¥‘>o 7.5 qx 096 as x—va 7. Determine lim x——>2+ 1 8. Determine two possible ﬁlnctions f(x) and g (x) if h E f 0 g
and 110?) = (2x + 3)? — 4x 146) = (Rxr3)? ' Lb: 7' (2x14;— 2(1x+3)+ Q, 36:) :: ZXr')’ ’ﬂ 1 f‘ r .
"1:; I; 019?)":va
,7 (#11464 ’1'» hasle
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injukr 74‘
0K yr 95’0 t 2" Na workla so
It pé‘gl’x 7 muck
970%” Hg) c (We?) "‘ 2.x
6R.
ﬂ 3 500 ” X No} “H135
, Q '7 OJ om ’{qﬂ‘i‘jl
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This note was uploaded on 10/13/2009 for the course MA 1021 taught by Professor Tashjian during the Spring '08 term at WPI.
 Spring '08
 TASHJIAN
 Calculus

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