Solve the problem.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 42 ft and the vertical clearance must be 21 ft at a point 18 ft from the center. Find an equation for the ellipse. 
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Answer: A
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Evaluate the integral.
A. - 
cot38x + 
cot 8x + C
B. - 
cot38x + 
cot 8x + x + C
C. - 
cot38x + cot 8x + x + C
D. - 
cot38x + 
cot2 8x + x + C
Classify the triangle as equilateral, isosceles, or scalene. Then classify it as right, obtuse, or acute.
A. Equilateral; obtuse B. Scalene; right C. Scalene; obtuse D. Equilateral; right
Find the lump sum deposited today that will yield the same total amount as this yearly payment (made at the end of each year for 20 years at the given interest rate, compounded annually).$14,300 at 8%
A. $140,399.51 B. $137,331.48 C. $140,357.36 D. $143,240.24
Perform the indicated operation. Write the answer in scientific notation.(9.5 × 10-3)(4.9 × 106)
A. 1.61 × 103 B. 14.4 × 109 C. 4.655 × 104 D. 4.655 × 103