Solve the problem.The acceleration due to gravity g (in meters per second per second) at a height h meters above sea level is given by  where 6.374 × 106 is the radius of Earth in meters. Death Valley in California is 86 m below sea level.a) Find the value of g(h) at Death Valley to four decimal places.b) Compare the value in (a) to the value of g(h) at sea level.

What will be an ideal response?


a)g(-86) ? 9.8211 m/sec2
b) g(0) ? 9.8208 m/sec2

Mathematics

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Find the general solution of the differential equation. Use C, C1, C2, . . . to denote arbitrary constants. If used, do not simplify hyperbolic functions.v'(t) = 

A. v = 4 tanh-1 + C
B. v =  tanh-1 + C
C. v = -tanh-1 + C
D. v = -  tanh-1 + C

Mathematics

Solve the problem.How many ways can a president, vice-president, and secretary be chosen from a club with 12 members?

A. 6 B. 220 C. 36 D. 1320

Mathematics

Change to an equivalent expression involving a logarithm.9x = 23

A. log23 x = 9 B. log23 9 = x C. log9 23 = x D. log9 x = 23

Mathematics

Solve by graphing.The cost, c, in dollars of car rental is  where m is the number of miles driven. Graph the equation for m ? 0 and then use it to estimate the cost of car rental if the number of miles driven is 37.

What will be an ideal response?

Mathematics