At noon of a certain day, the ship A is 68 miles due north of the ship B. If the ship A sails east at speed of $15$ miles per hour and B sails north at speed of 12 miles per hour determine how rapidly the distance between them is changing 4 hours later?

Q: A plane leaves the airport flying due west at 440 mph while another plane leaves the same airport at…

A: Given that the plane A moves west at a speed of 440 mph Plane B moves South at a speed of 392 mph…

Q: Two Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

A: Let the first Tropical cyclone be named cyclone A and the second one cyclone B.  Now, these two…

Q: A streamer goes downstream from one point to another in 7 hours . It covers the same distance…

A:

Q: A zeppelin flying at an altitude of 3km at a speed of 50km/hr passes directly over the white house.…

A:

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

Q: Two planes travel at opposite direction from same origin. One travels at 300 mph and the other at…

A:

Q: A ship leaves a port going directly west at 45 mph. At the same time the first ship leaves port, a…

A: Formulae used: ddxx=12xddxxn=nxn-1

Q: Two boats travel at right angles to each other after leaving a dock at the  same time. One hour…

A: Given: Two boats travel at right angles. one hour later they are 25miles apart. if one boat travels…

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

Q: A body cools from 60°C to 50°C in 15 mins in air which is maintained at 30°C. How long will it take…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.