Differentiate inverse tangent functions, Differentiate the following functi...

Differentiate the following functions. (a) f (t ) = 4 cos -1 (t ) -10 tan -1 (t ) (b)  y = √z sin -1 ( z ) Solution (a) Not much to carry out with this one other

Find the surface-radius of earth, a) The distance d that can be seen fro...

a) The distance d that can be seen from horizon to horizon from an airplane varies directly as the square root of the altitude h of the airplane. If d = 213 km for h = 3950

Probability, Mike sells on the average 15 newspapers per week (Monday – Fri...

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers

Discrete Math - Set Theory, Show that A-B ? C ? A?B ? B?C?

Show that A-B ? C ? A?B ? B?C?

Limits, evaluate limit as x approaches 0 (x squared times sin (1/x)

evaluate limit as x approaches 0 (x squared times sin (1/x)

Analalitic geometry, 1. Write down the canonical equations of the line pass...

1. Write down the canonical equations of the line passing through the point A(2,3, 4) and being parallel to the vector q ={5,0,-1}.

Arithmetic sequences and series,

Systems of differential equations, For this point we've only looked as solv...

For this point we've only looked as solving particular differential equations. Though, many "real life" situations are governed through a system of differential equations. See the

How many hours will it take for them to be 822 miles apart, Two trains leav...

Two trains leave the same city at the same time, one going east and the other going west. If one train is traveling at 65 mph and the other at 72 mph, how many hours will it take f

Determine the mean of given question, Q . Mrs. Cooper asked her math class ...

Q . Mrs. Cooper asked her math class to keep track of their own grade. Michael, one of the students, lost his assignments, but he remembered the grades of 6 out of 8 assignments: