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Unformatted text preview: W Test #1 Math 141  Version A Name:
(“A Fall 2010 N.C.S.U. Math Department Write your name in print on your blue book and sign beneath it. Your signature is that
you are upholding the honor code before, during and after this test. Also write your
seating chart number by your name. Turn in this sheet, folded in half, inside your test. No graphing calculators are allowed. No ipods or phones or any other communication devices are allowed during the test. Please be considerate of those around you.
Show all of your work and answers in the blue book in order to receive full credit. [1“] 2 (is) 1. Given the following function’s graph , answer the following questions. _—..————'_ b. lim f (x)
x.—2*
(1. ENE f (x) e. State the xvalues where f(x) is NOT continuous. f. Put the following four values in increasing order;
I 1 _ _2 I
f (1); 0; 19711;); f (6) (+15%) 2. Use the Intermediate Value Theorem to prove the following equation has a solution
on the given interval. x4 + x — 3 = 0 on (1, 2) ____.,..———— 6. Hop“) 3. Given the function, f (x) = 5  2’ ,
a. State the domain, range, intercept and asymptote.
b. Sketch the graph of f (x). c. Find it’s inverse function.
d. What is f"(20) ? Q / (9,494. For the following equation, write it in standard form and identify what type of conic
(WA section it is. (Your choices are parabola, ellipse, circle, or hyperbola). 2 2
4x —y 24x—4y+l6=0 6 ](DPls) 5. Given the following parametric equations; ”W5 x=5+cost
y=2+sint Ostsx a. Fill in the given table. b. Sketch the curve clearly showing the beginning, the end and the direction.
c. State a Cartesian coordinate equation that goes with these parametric equations.
679/941) 6. Given the function, f (x) a 1/; + 3;
a. Find the average rate of change of the function on the interval [4, 9]. ’ b. Using the deﬁnition of the derivative, ﬁnd the instantaneous rate of change of m
the function at the point (4, 5). ' c. What is the slope of the line perpendicular to the tangent line at (4, 5)? .11st mam: LON/m )4
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 Spring '07
 WEARS
 Calculus

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