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A cup of coffee at 191 degrees is poured into a mug and left in a room at 78 degrees. After 6 minutes, the coffee is 144 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) .
What is the temperature of the coffee after 16 minutes?
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
Determine (exactly!) the relative error E of x* as an approximation to x? and calculate the ratio l~l/eps.
Which of the following best describes the data: classifications of unlikely, likely, or very likely to describe possible buying of a product?
In a cube with side length 6, what is the volume of the tetrahedron formed by any vertex and the three vertices connected to that vertex by edges of the cube?
Finding coefficient
On a level track the car can just go round a bend (radius=80m) at 20ms^-1. At what angle must the tracked be banked so a speed of 30ms^-1 is reached (coefficient of friction being the same)?
Let gamma be a closed rectifiable curve in C (Complex plane) and a is not an element of {gamma}. Show that for n>= 2 integral over gamma of (z-a)^-n dz = 0.
Relationship between Standard error
PQR and ABC are complementary angles. And PQR is eight times as large as ABC. Determine the measure of each angle.
Integration by parts method - How much longer would the worm be at t = 2, if it always grew at the maximum rate? Use Integration by parts.
Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines that can be drawn through pairs of points.
Suppose you are committed to owning a $199,000 Ferrari. If you believe your mutual fund can achieve a 12 percent annual rate of return and you want to buy the car in 9 years on the day you turn 30, how much must you invest today?
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