A particle moves according to the formula s = 6 to + 63 t-15 where distance s is measured in meters and time t is measured in seconds. Use differentials to find ds, the approximate change in the distance moved when t changes from 5 seconds to 5.04 seconds. ds (in meters) = Number Round your answer to 4 decimal places.

Q: The cost(c) of transmitting electric power partly varies as the cube of the distance(d)and partly…

A: Given: The cost(c) of transmitting electric power partly varies as the cube of the distance(d):…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Find the base where area and altitude is already given, then the formula of the area of a triangle…

Q: sistance R (ohms) and the current I (amperes) by the equation P = R1². se differentials to determine…

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: The regression equation is ŷ = -0.777x + 36.057, where x defines the hours of TV watched per day and…

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.