Suppose the figure below is an exaggerated diagram of a plane flying above the earth. If the plane is 4.25 miles above the earth and the radius of the earth is 4,000 miles, how far is it from the plane to the horizon? Round your answer to the nearest mile.
?
?
?
?
A. 199 mi
B. 174 mi
C. 183 mi
D. 184 mi
E. 187 mi
Answer: D
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Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find C'(50).
A. C'(50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. B. C'(50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. C. C'(50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. D. C'(50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles.
Provide an appropriate response.Use the fact that tan x = x + 
+ 
+ 
+ ... for |x| < 
to find the first four terms of the series for ln(cos x).
A. - 
B. 1 + x2 + 
+ 
+ ...
C. 
+ 
+ 
+ 
+ ...
D. - 
Calculate the flux of the field F across the closed plane curve C.F = y3i + x2j; the curve C is the closed counterclockwise path formed from the semicircle 
0 ? t ? ?, and the straight line segment from (-2, 0) to (2, 0)
A. - 
B. 
C. 
D. 0
Use the compound interest formula to compute the total amount accumulated.$700 for 12 years at 3% compounded daily (use n = 360)
A. $998.03 B. $773.30 C. $1003.32 D. $700.70