Differentiate the following function implicitly to find dy / dx.
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Solve.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 10 ft and the vertical clearance must be 5 ft at a point 24 ft from the center. Find an equation for the ellipse.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Simplify.-2x(8x + 4y + 6)
A. -16x2 + 4y + 6 B. 8x + 4y - 12x C. -16x - 8y - 12 D. -16x2 - 8xy - 12x
Provide an appropriate response.The population of a small country is 8,714,000. Write this number in scientific notation.
A. 8.714 × 105 B. 8.714 × 104 C. 8.714 × 106 D. 8.714 × 10-5
Find the mean, variance, and standard deviation of the normal density function 
. Do not use integration.
?
A. expected value (mean): -3variance: 36standard deviation: 6? B. expected value (mean): 36variance:-3standard deviation: 6? C. expected value (mean): 36variance: 6standard deviation: -3? D. expected value (mean): 6variance: -3standard deviation: 36? E. expected value (mean): -3variance: 6standard deviation: 36?