In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive 13 miles closer to the mountain, the angle of elevation is 9°. Approximate the height of the mountain. Round your answer to two decimal places.
?
?
?
A. 51.64 miles
B. 8.18 miles
C. 1.58 miles
D. 1.30 miles
E. 16.36 miles
Answer: D
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Find the derivative of y with respect to x, t, or ?, as appropriate.y = esin t (ln t4 + 1)
A. 
B. esin t 
C. ecos t (cos t)(ln t4 + 1) + 
D. esin t 
Solve the problem.There are currently 57 million cars in a certain country, increasing exponentially by 0.8% annually. How many years will it take for this country to have 64 million cars? Round to the nearest year.
A. 243 yr B. 14 yr C. 5 yr D. 9 yr
Graph f as a solid line and f-1 as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of f and f-1.f(x) = (x - 5)2, x ? 5
A. 
Has no inverse
f domain = (-?, ?); range = (0, ?)
B. 
f domain = (-?, ?); range = (0, ?)
f-1 domain = (0, ?); range = (-?, ?)
C. 
f domain = (5, ?); range = (0, ?)
f-1 domain = (0, ?); range = (5, ?)
D. 
f domain = (-?, ?); range = (0, ?)
f-1 domain = (0, ?); range = (-?, ?)
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10
xy + 21y2 -144 = 0
A. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)
B. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
C. ? = 30°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
D. ? = 36.9°
+ 
= 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)