The funtion x=G, cot +Cr sint 2. parAmeter of %3D is of famil Solutions differential eyuabion Find 2nd order nd order the Solution initinl valne differentinl condi'tions x'l0)=7.0 a of frablem equntion -0Y ting Consis and xlo)= loas initial are %3D

Q: Jack and Diane are jogging back and forth along a one-mile path. They started out at 9:00 A.M. from…

A: Let us consider the above diagram - Let Jack is at point A and Diane is at point B. Given that after…

Q: Solve    In 5/3

A: According to the natural logarithm quotient rule, lnxy=ln x-ln y. Expand the expression ln 53 by…

Q: A pipe can full the tub alone in 10 minutes time, another can do it in 20 minutes and drain if…

A: The first pipe can fill the tub in 10 minutes, Therefore, in one minute, the pipe can fill 110 of…

Q: 2. If you run 3 miles every day for 5 days, how many miles will you need to run on the sixth day in…

A: The miles will you need to run on the sixth day is,

Q: solve for t

A:

Q: Solve for x: 12x + x = 3x+5 1/2 0.6 1/3 1/4

A: We have 12x  +  x   =  3x  +  5 Now, transfer the term 3x to LHS sideSo, 12x  + x -  3x   = 5 13 x…

Q: Suppose you are driving between two cities. You drive half the distance at 50km/h. How fast would…

A:

Q: Danny has 2/3 as many toy cars as Jack. They have a total of 75 toy cars. How many toy cars does…

A:

Q: Solve. log(w + 47) = 2.6 %3D

A: A logarithmic equation is given. The logarithm can be removed using the property 10log x=x. So,…

Q: Solve. log ? + log(? + 21) = 2

A:

Q: The population of Calculusville decreases by 5% each year. If the population of Calculusville was…

A: The population of calculusville in 2015 is, Rate of change,

Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: Find the solution of the exponential equation x = 32x+1 = √3.

A: Here x = -1/4

Q: Suppose Marion can weed the garden twice as fast as Medel. Together they can weed the garden in 3…

A: Let the Marion can weed the garden in x  hours Let Medel can weed the garden in 2x hours  Together…

Q: Josh live 1 4/5 miles from the park. So far he walked 2/3 of the distance from his house to the…

A: Here we have to find out the how many distance josh walk

Q: The initial population of Sim City is 103 residents, and it grows with a doubling time of 2 hours.…

A:

Q: A population of bacteria doubles every 2.79 hours. How long would it take for the bacteria to…

A:

Q: Olivia puts 100 dollars into a fund and continuously does so at the end of each month. Although, the…

A: It will form an arithmetic progression (A.P.) with first term a1=100 and common difference is d=5.…

Q: A tank can hold 180 gallons of water when it is full. Water flows from 2 an pipes and 1 large pipe…

A:

Q: A bacteria triples its original population in 18 hours  (A = 3A0).  How many times larger than the…

A: Let the population of bacteria at time t is given by:  A(t)Intial population of bacteria is:…

Q: Solve 2logs(Vx)- log;(6x– 1)=0.

A:

Q: A body at a temperature of 50°F is placed outdoors where the temperature is 100°F. If after 5…

A: Given that, the temperature of a body is 50°F which is placed outdoors where the temperature is…

Q: A bacteria has an initial population of 200. If after 2hrs, its population is 10 times the original…

A:

Q: Biologists stock a lake with 400 fish and estimated the carrying capacity (the maximal population…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.