maximum heart rate for various ages. For this problem, use this model:  M=208−0.74⋅AM=208-0.74⋅A  M = Maximum Heart Rate in beats per minute A = age Q. For what age would the maximum heart rate be 168 bpm (assuming this equation applies at that time)?

Q: A 6-V lead-acid battery has an A-hr rating of 180 A-hr. The battery is to be load-tested. What…

A: The following given peace of information are: The voltage of the lead-acid battery is 6V. The A-hr…

Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then,…

A: Solve for average temperature after 40 min.

Q: The rabbit population at the city park increases by 11% per year. If there are intially 140 rabbits…

A: Given Let c be the initial rabbit population in a city. x be the year. r be the rate of population…

Q: . A steel ball, initially at 100°C is dropped in a water bath at 25°C. After 5 seconds, the…

A:

Q: A drug administered to a patient produces a concentration in the blood stream given -t/3. by…

A: We will use following procedure to solve this question  For relative maximum or minimum To…

Q: Formula: (X1/X2)*(U2/U1)=2T/2

A:

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: According to the Pew Research Center, the population of Italy for the next thirty years is projected…

A: We will find the answers of all 3 parts as following.

Q: A car drives with a velocity v(t) = 5 + 3t

A: velocity function, v(t)=5+3tTo find acceleration function.

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

A:

Q: Motion on the moon The acceleration due to gravity on the moonis approximately g/6 (one-sixth its…

A: Let the values of v0 and α be same for both the moon and the Earth.

Q: A 800-lb object is released from rest 600 ft above the ground and allowed to fall under the…

A: According to the given information, it is required to determine the equation of motion of object…

Q: If the plow covered twice as much distance in the first hour as the second hour, what time did it…

A: Let  denote the depth of the snow at time  and  denote the distance traveled by the snow plow at…

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: A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

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.