A jogger runs along a straight track. The jogger's position is given by the function p(t), where t is measured in minutes since the start of the run. During the first minute of the run, the jogger's acceleration is proportional to the square root of the time since the start of the run. Which of the following is a differential equation that describes this relationship, where k is a positive constant? A = k/t dp dp B = kp dt d²p = k/t D

Q: The half-life of a substance is found by using the equation A(t) = A0e−kt where A(t) is the amount…

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Q: When you are 18 years old you have a hair that is 19 centimeters long, and your hair grows about 12…

A: Given that Lengtg of hair at the age of 18 years=19 cm Each year hair grows about 12 centimeters

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A: Let's consider a differential equation as follows:If M(t)=F(t), then equation 1 will be satisfied.

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Q: This is a differential equation problem. A thermometer is removed from a 70-degree F room and is…

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Q: A tank contains 14,000 L of brine with 21 kg of dissolved salt. Pure water enters the tank at a rate…

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Q: 11. Suppose the CO₂ levels in the atmosphere (in ppm) can be modeled by the differential dA dt…

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A: Given that, the initial cases are N0=14. "It is known that, the formula for the exponential growth…

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.