Unformatted text preview: { f \\ (a) (Spts) cos(cos‘l(~%)l AMS 151.2 Applied Calculus I 4._ \ l/ ’11:: . i Quiz 1
Oct. 2, 2007
Name: MM? , gg‘w if ID i % Please also write both your name and ID number CLEARLY on each page of the answer sheets. In order to receive full credit, please show all work and justify your answers. 1. (lUpts) Find the equation of the line that goes through the point (~3,7) and is
parallel to the line with the equation 2.7: + 714 « 10 = 0. 2. The halflife of an element is 130 years.
(a) (lUpts) write a formula for the quantity, Q, of the element left after it years, if
the initial quantity is 1100. (b) (lOpts) If the initial quantity was measured in 1880, what percentage of that
original amount of the element will be left in 2020? (You can assume the initial
quantity to be any amount you want.) 3‘ Solve the equations
5 (a) (10pts) 1021 : 56352771
(b) (101%) $3 + r + 3 : met“) ! 7 4. (20pts) A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top
of the mountain is 32°. From a point 1500 feet closer to the mountain along the plain,
they ﬁnd that the angle of elevation is 340. How high (in feet) is the mountain? 5. Simply the following two expressions as m l11<i4jl+n ln(B) where m and n are constants.
5/ a lOpts ln A3‘ « 21n(BQ/7‘u + 31m All/4W — in B5) ) \ / / .
L( (b) (lOpts) 61n(A2B) —41n(Bl/2/A) 6. Evaluate the following expressions. ...
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