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The temperature of a cup of Starbucks coffee at time t (in minutes) is T(t)= 70 + c e^(-kt) . Initially, the temperature of the coffee was 200 degrees F. Three minutes later, it was 180 degrees. When will the temperature of the coffee be 150 degrees F? The back of the book says it is 8.7 minutes
Matrix Representation of a Linear Transformation, For the problem, refer to the linear transformation T
Determine value of money after time 't' by compound interest method - How much money will be in the account in 10 years?
Find the volume of the ellipsoid generated by rotating around the x axis the region bounded by the ellipse with the equation (x/a)^2 + (y/b)^2 = 1
a piece of cardboard is twice as it is wide. It is to be made into a box with an open top by cutting 2-in squares from each corner and folding up the sides. Let x represent the width (in inches) of the original piece of cardboard.
a survey of 24 college students 17 students were in math, 16 were in english and 10 were in both english and math. How many students were in math?
Select a counterexample to show that the statement is false. When an odd number is added to the product of two even numbers, the result will be even, 4.5 + 1 = 21. 21 is not even, 4.2 + 3 = 11. 11 in not even, 4.5 + 2 = 22. 22 is even, 3.5 + 4 = 1..
What is the difference between domain and range? Describe a real-life situation that could be modeled by a function.
Find a definite integral that represents the arc length of the curve over the indicated interval and observe that the length cannot be evaluated with the techniques studied so far
At 12pm, ship A is 150 km west of Ship B. Ship A is sailing east at 35 kim/hr and ship B is sailing north at 25 km/hr. How fast is the distance between the two ships changing at 4pm?
Assuming that the breaking strengths are normally distributed, what is the probability that one randomly selected steel bar will have a breaking strength in the range from 241 to 252 pounds per square inch?
What is the probability that the first individual to whom measure is given is not truly depressed if not diagnosed as depressed.
Suppose that at a certain instant the volume is 550 cubic cm, the pressure is 80 kPa, and the pressure is increasing at a rate of 100 kPa per min. At what rate is the volume decreasing at this instant?
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