Solve the problem.A railroad tunnel has the shape of half an ellipse. The height of the tunnel at the center is 33 ft and the vertical clearance must be 11 ft at a point 12 ft from the center. Find an equation for the ellipse, where x and y are measured in ft. 
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Answer: D
Mathematics
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Evaluate the improper integral.
A. 
B. 
C. 
D. 
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Write the Hindu-Arabic numeral in expanded form.66557
A. (6 × 104) + (6 × 103) + (5 × 102) + (5 × 101) B. (6 × 104) + (6 × 103) C. (6 × 104) + (6 × 103) + (5 × 102) + (5 × 101) + (7 × 1) D. (6 × 104) + (6 × 103) + (5 × 102)
Mathematics
Solve the problem.The formula for the up and down motion of a weight on a spring is given by 
If the spring constant is 5, then what mass m must be used in order to produce a period of 6 seconds?
A. 
B. 
C. 
D. 
Mathematics
Use special right triangles to evaluate the expression.cot 30°
A. 
B. 1
C. 
D. 
Mathematics