When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation  PV1.4 = C, where C is a constant. Suppose that at a certain  instant the volume is 400 cm3 and the pressure is 80 kPa and  is decreasing at a rate of 10 kPa?min. At what rate is the  volume increasing at this instant?

Q: A spring is stretched a distance x from its original length. The potential energy stored in the…

A: Given  A spring is stretched a distance x from its original length Potential energy stored in the…

Q: Assume that the rate at which a cup of coffee cools to room temperature is proportional to the…

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: The length L of a rectangle is decreasing at a rate of 2 cm/sec while the width is increasing at a…

A: Let L be the length of the rectangle and W be the width of the rectangle. then we have ,…

Q: Solve the problem. An object of mass m is dropped from a helicopter. Assuming that air resistance is…

A: Topic = Differential equation

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: Find the Bolution to Hhe initial value problem - Please Write the folution with the computer.

A: Solution of Linear Differential Equation with Constant Coefficients: The general form of linear…

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: The volume (v) of a sphere varies directly with the cube of its radius (r). If k is the constant of…

A:

Q: A water tank has 142 gallons of water, At first, in t=0, a solution with 1/6 lb/gal of a chemical…

A: it is mixing problem we use linear differential equation to solve this question.

Q: When air expands adiabatically (without gaining or losing

A:

Q: At what speed should a fish swim upstream so as to reach its destination with the least expenditure…

A:

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.