Provide an appropriate response.Use the Mean Value Theorem to show that s = 2/t decreases on any interval over which it is defined.

What will be an ideal response?


 = -  < 0 for all t in the domain. Therefore by the Mean Value Theorem,  whenever   It follows then that  whenever  which implies the function is always decreasing.

Mathematics

You might also like to view...

Solve the problem.Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t.v = -14t + 5, s(0) = 11

A. s = -7t2 + 5t + 11 B. s= 7t2 + 5t - 11 C. s = -7t2 + 5t - 11 D. s = -14t2 + 5t + 11

Mathematics

If y varies directly as x, find a linear function which relates them.y = 3.6 when x = 0.9

A. f(x) = x + 2.7 B. f(x) = 4x C. f(x) = 0.9x D. f(x) = 0.25x

Mathematics

Find the exact value of the logarithmic expression.log41

A. 1
B.
C. 0
D. 4

Mathematics

Using the same set of axes, graph the pair of equations.y =  and y =  

A.
 
B.
 
C.

D.

Mathematics