Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel is 40 mm and the altitude is 80 mm, find the rate at which the water is dropping when it is 20 mm from the top.

Q: The radius of a balloon is increasing at the rate of 10 cm / sec. At what rate is the surface area…

A:

Q: 3. A rectangular box has sides a, b, and c that all change in time. At a certain time to the…

A: In this question we will use basic of application of derivative.  First we will find diameter of box…

Q: A motorboat traveling at full speed against a current goes 14 kph. Traveling at half speed with the…

A: In first question we will form the equation then solve this equation using the elimination method…

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Given: dVdt==55, side length b0=4 and height h0=11. To find: dhdt, when h=2.

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A:

Q: Water is flowing into a conical cistern at the rate of 8 m³/min. If the height of the nverted cone…

A: A. 3.64 m/sec

Q: In Pitot-Tube Experiment, the water level in two tubes h1=11 cm and h2=22 cm. Calculate the velocity…

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of…

A: Given that:Volume=V=314.159Height=h=4 Rate of change of volume=dVdt=20 The question is asking for…

Q: The radius of a sphere increases at a rate of 6m/sec, then the rate at which the volume increases…

A: Let's find.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.