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Newton's Law of Cooling states that the rate of change of the temperature of an object is proportional to the difference between the temperature of the object and the temperature of the environment.
The body of a murder victim was discovered at 11:00 AM. The medical examiner arrived at 11:30 AM and found the temperature of the body was 94.6o F. The room temperature was 70o F. One hour later the body temperature was 93.4o F. Estimate the time of death.
Use Stokes' theorem to evaluate the integral of around the curve consisting of the straight lines joining the points
An employee of the National Parks Service told you about a location in Washington, DC. It is a large grassy area south of the White House known as the Ellipse. The National Tree Lighting Ceremony is held annually on the Ellipse.
The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 35 feet in radius. Your ball is located as in the picture below.
Application of differential calculus: Maximization and Minimization - what are the largest and smallest revenues your company your company can make under this deal?
If a roll of paper with inner radius 2 cm and outer radius 10 cm has about 10 thicknesses per centimeter, approximately how long is the paper when unrolled?
Please find the 1) length and 2) direction (when defined) of 1) A X B and 2) B X A Please show all work, including the grids for the determinants. Thank you.
A map has a scale of 1 cm : 19 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
Give an example of an exponential function. Find this exponential function's inverse, which will be a logarithmic function. Plot the graph of both the functions.
What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.
Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated.
find the area of the region that is bounded by the given curve and lies in the specified vector.
A poster is to have an area of 220 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
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