Deriving the equation of motion of a projectile shot vertically upward considering the effects of air resistance and solving the first order differential equation obtained.

Consider a projectile of mass m which is shot vertically upward from the surface of the earth with initial velocity V. Assume that the gravitational force acts downward at a constant acceleration g while the force of air resistance has a magnitude proportional to the square of the velocity with proportionality constant k>0 and a ...continues

Differential Equations

Hi, I attached one problem. Please help me providing detailed solution with explanation. Thanks

Elementary Differential Equations

Please show the steps in the attached problems so that I can better understand what I am learning. Q1 is a Bernoulli equation, primes denote derivatives with respect to x. Please only complete questions 1 and 2. 1. Find the general solution to 2xy' + y^3 * exp(-2x) = 2xy. 2. Find the general solution of reducible sec ...continues

A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit. (a) If the temperature of the turkey is 156 Fahrenheit after half an hour, what is its temperature after 45 minutes? (b) When will the turkey cool to 100 Fahrenheit?

A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit. (a) If the temperature of the turkey is 156 Fahrenheit after half an hour, what is its temperature after 45 minutes? (b) When will the turkey cool to 100 Fahrenheit ...continues

Differentiation

7 y = x3.cos x sin x 8 Find the radius of curvature of y = 3x2 + 0.5 when x = 0.2

Statistics confidence interval - A lawyer researched the average number of years served by 45 different justices on the Supreme Court. The average number of years served was 13.8 years with a standard deviation of 7.3 years. What is the 95% confidence interval for the average number of years served by all Supreme Court justices?

3. A lawyer researched the average number of years served by 45 different justices on the Supreme Court. The average number of years served was 13.8 years with a standard deviation of 7.3 years. What is the 95% confidence interval for the average number of years served by all Supreme Court justices?

Simple differential problems

Please help me with the attached problems.

Differential Equations

Hi, Please help work on the attached problems regarding differential equations (images attached) section 1.1 problems 2,4,8,14,16 section 1.2 problems 6,10,20,24,27 Thank you

Differential Equations

Hi, Please help work on these problems (attached images) section 1.3 #3,8 section 1.4 # 6,8,12

Integrals

Please help with these problems regarding integrals and differentiation: section 2.2 # 10,18,22,26,30,38 (attached images) thanks