Find the point on the line y = 4x + 8 that is closest to the origin.

What will be an ideal response?


(-32/17, 8/17)

Mathematics

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Write the following as an algebraic expression in u, u > 0.tan 

A.
B.
C. u2
D.

Mathematics

Solve the problem.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.05t where k is a constant and t is the time in years. If the current population is 32,000, in how many years is the population expected to be 80,000? Round to the nearest year.

A. 10 yr B. 119 yr C. 8 yr D. 18 yr

Mathematics

Find the elasticity.q = D(x) = 800 - x

A. E(x) = 
B. E(x) = 
C. E(x) = 
D. E(x) = x(800 - x)

Mathematics

Test for relative maximum and minimum. ?   ?

A. relative maxima when x = 7, y = -8 and x = 7, y = 8; relative minima when x = -7, y = 8 and x = -7, y = -8 B. relative maximum when x = 7, y = -8; relative minimum when x = -7, y = 8 C. saddle point when x = -7, y = -8; relative minima when x = 0, y = 0 and x = -7, y = -8 D. saddle points when x = 7, y = -8 and x = -7, y = 8; relative maximum when x = -7, y = -8; relative minimum when x = 7, y = 8 E. saddle points when x = 7, y = 8 and x = -7, y = -8; relative maxima when x = 7, y = -8 and x = -7, y = 8

Mathematics