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: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per minute…

A: We have to solve one question as per guideline

Q: While John was on a hike, he filled his cylinder canteen, that was 10 in. tall and 6 in. in diameter…

A: Given that the canteen is 10 in. tall and 6 in. diameter. Since John filled the canteen, the initial…

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: The Volume (V) of a cone varies jointly as its height (h) and the square of its radius (r). Find the…

A:

Q: Show the solution and draw the figure. The height and base radius of a right circular cylinder are…

A: Topic:- application of derivatives

Q: Give your answer accurate to 3 decimal places. The area of an equilateral triangle is decreasing at…

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: A luxury car runs smoothly on a paved road at 60 mph. If it then decelerates to a stop at a constant…

A: A luxury car runs smoothly on a paved road at 60 mph. If it then decelerates  to stop at a constant…

Q: A snow ball, in the shape of a sphere, is melting so that its surface area is decreasing at a rate…

A:

Q: 30. Speed of a rocket At t sec after liftoff, the height of a rocket is 312 ft. How fast is the…

A:

Q: A person holding a ball is on top of a building. The person jumped at the rate of 1 ft/s while…

A:

Q: 6. Through (-1, – 3) and (5, –3) 7. With slope 2 and y-intercept 0

A: To Determine: write the equation of the line,in the form y=mx+b, that satisfies each of the given…

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.