Solve the problem.A man 6 ft tall walks at a rate of 5 ft/s away from a lamppost that is 18 ft high. At what rate is the length of his shadow changing when he is 35 ft away from the lamppost?

A.  ft/s
B.  ft/s
C.  ft/s
D.  ft/s


Answer: C

Mathematics

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Give the appropriate form of the partial fraction decomposition.

A.  +  + 
B.   +  + 
C.   + 
D.  +  + 

Mathematics

Solve the problem. Assume all numbers are approximate unless otherwise stated or the number has been determined by a definition or counting process.The expression  will tell you how high, in meters, you must raise the hammer of a pile driver when you know the mass (m) of the hammer in kg, and what potential energy (PE) in Joules is required. Find the height to which a 59-kg hammer must be raised to have 1780 J of potential energy.

A. 3.1 m B. 3 m C. 3.079 m D. 3.08 m

Mathematics

Determine ? in decimal degrees. Round results to an appropriate number of significant digits.sin ? = 0.5589

A. 9.1° B. 33.98° C. 9.14° D. 34.0°

Mathematics

Use the integral test to determine whether the series converges.

A. diverges B. converges

Mathematics