5736

Physics Measurements Level: Misc Level

A raindrop,s diameter changes from one micrometer to one millimeter. lts diameter has increased by a factor of 

10 100 1000  100000



5735

Physics Kinematics Level: Misc Level

A quantity that is a measure of how the distance traveled changes with time is

a.displacement

b. speed

c.acceleration

d.momentum



5734

Physics Kinematics Level: Misc Level

The velocity of a body is graphed as a function of time.The slope of the graph at any point may be identified with

a. instaneous velocity

b. average velocity

c. instaneous speed

d. instaneous acceleration

e. average acceleration



5733

Physics Kinematics Level: Misc Level

If your average speed for a 3-hr trip is 45 mi/hr, the distance traveled is 

a. 15 mi

b. 45 mi

c 135 mi

d. 202.5 mi



5730

Mathematics Integration Level: Misc Level

Find the interval in which f(x) = x2e-x is increasing

 



5729

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x) = x4 - 4x



5728

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x)=x+\frac{1}{x},x\neq 0



5727

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x) = 2x3 - 3x2 - 36x + 7



5726

Mathematics Integration Level: Misc Level

Find the interval in which the following function is strictly increasing or strictly decreasing

f(x) = x2 - 4x + 6

 



5725

Mathematics Integration Level: Misc Level

Prove that the function f given by f(x)=\frac{4Sinx}{2+Cosx}-x is increasing in \left [ 0,\frac{\pi}{2} \right ]



5724

Mathematics Integration Level: Misc Level

Prove that the function f given by f(x) = Sin x is

(i)  strictly increasing on \left ( 0,\frac{\pi}{2} \right )

(ii)  strictly decreasing on \left ( \frac{\pi}{2},\pi \right )

(iii)  neither increasing nor decreasing in (0,\pi)



5723

Mathematics Integration Level: Misc Level

Prove that the function f given by f(x) = log Cos x is strictly decreasing on \left ( 0,\frac{\pi}{2} \right )



5722

Mathematics Integration Level: Misc Level

Show that the function f given by f(x) = x3 - 3x2 + 4x, x\epsilonR, is strictly increasing on R



5721

Mathematics Integration Level: Misc Level

Show that the function f(x) = log x is strictly increasing



5719

Mathematics Integration Level: Misc Level

Show that the function f(x) = 7x -3 is strictly increasing on R

Displaying 1201-1215 of 6371 results.

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