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(MATH005)quiz4_math005_by_PPSpider.pdf
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Tutorial: Math 005 Name: Duration: quiz04 ID Number:
1. The solution to the equation 5 =
4t 3t
is 2log2 log3 log5
(a) t = (b) t = (c) t =
log5 . log3 2log2. log5 log3 . 2log2 log3 2log2
(d) t = (e) t =
log5 . 2log2 log3 . log5
2. For a functionf, it is known
h
f(x +h). f(x)= .4 .
(x +h+3)(x +3)
The derivative f.(1) equals:
x2+
(a) . 1 2 (b) .1 (c) . 1 9 (d) . 1 16 (e) . 1 4
3. Find lim f(x)from its graph shown below.

(a) 2 (b) -1 (c) -2 (d) -4 (e) does not exist
4. The derviative of the following di.erentiable function is alwayspositive on the following interval:
(a) 6 <x< 8 (b) .8<x< .6 (c) 2 <x< 6 (d) .2<x< 1 (e) 1 <x< 7
5. An automobile starts from the rest and travels down a straight section of road. The distance y (in feet) of the car from the startingposition after x secondsis givenby y = f(x)= x2.x+10. Find the average speed of the car from x =2 seconds to x =6 seconds :
(a) 4.67 ft/sec (b) 7ft/sec (c) 14 ft/sec (d) 10 ft/sec (e) 3 ft/sec
6. Determine the tangent line to the graph of the function y = f(x)=4x2 . x +7 at thepoint(1,f(1)).
(a) y =9x +2 (b) y = 12x +2 (c) y =7x +3
(d) y =8x +2 (e) y =4x . 1
7. Suppose a principal of $179,045 is invested in a bank account compounded quarterly with an annual interest rate of 8.8%. How long will it take for the compounded amount to reach $203,104 (please give your answer accurate to two decimal places) ?:
(a) 15.40 quarters (b) 5.29 quarters (c) 6.88 quarters (d) 5.79 quarters (e) none of the above
x2 . 2x . 15
8. Find the limit lim
x.3 x2 . 9 34 .5
(a) Does not exist (b) (c) 1 (d) (e)
4 33
9. Thepopulation (in millions) of the state of Arizona USA, is1.3 1.035t where t is thenumberofyears fromthe startof 1960.In what monthandyeardid Arizonaachieveapopulationof3.1 million?
(a) July 1972 (b) April 1975 (c) February 1980 (d) January 1971 (e) April 1985
|x . 3|
10. Find lim .
x3+ x . 3
(a) 3 (b) .3 (c) 1 (d) .1 (e) Does not exist.
Answers: 1.c 2.e 3.a 4.d 5.b 6.c 7.d 8.d 9.e 10.c