Translate the problem to a system of equations, then solve using Cramer's Rule.During the 2001-2002 Little League season, the Tigers played 62 games. They won 18 more games than they lost. How many games did they lose that season?
A. 40 games
B. 20 games
C. 25 games
D. 22 games
Answer: D
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Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.
1/f2(x), x = 4
A. - 
B. - 
C. 
D. 
The position vector of a particle is r(t). Find the requested vector.The velocity at t = 
for r(t) = 4sec2(t)i - 6tan(t)j + 9t2k
A. v
= -12j + 
?k
B. v
= 16i - 12j + 
?k
C. v
= 16i + 12j - 
?k
D. v
= -12j - 
?k
Figure (a) shows a vacant lot with a 80-ft frontage in a development. To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b). Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 80], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 80]. To estimate the area of the lot using a Riemann sum, we divide the interval [0, 80] into four equal subintervals of length 20 ft. Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property. These measurements give the
values of f(x) at x = 10, 30, 50, and 70. What is the approximate area of the lot?
?
?
?
A. 7,860 sq ft
B. 7,980 sq ft
C. 7,910 sq ft
D. 7,890 sq ft
Find the assessed valuation for the property.Fair market value:$1,355,000Rate of assessment:69%
A. $9,349,500 B. $467,475 C. $934,950 D. $420,050