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Question: At time t = 0, a bottle of juice at 90°F is stood in a mountain stream whose temperature is 50°F. After 5 minutes, its temperature is 80°F. Let H(t) denote the temperature of the juice at time t, in minutes.
(a) Write a differential equation for H(t) using Newton's Law of Cooling.
(b) Solve the differential equation.
(c) When will the temperature of the juice have dropped to 60°F?
Rewrite the following subtraction problem as an addition problem and then find the answer. (plus+1616)minus-(negative 4-4) Rewrite the following subtraction problem as an addition problem and then find the answer. (plus+44)minus-(plus+1313)
evaluate to five decimal places using a calculator
The area A of a rectangular region is the product of the length and width of the rectangle; if we let yrepresent the length, then we have the following. A = yx
Find the average value (b) of the function whose equation is f(x) = ex-3x over the interval [1, 2].
Probability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having..
If f (x) = e x , then f (n) (x) = e x for all n Find the Maclaurin series for e x . What is its radius of convergence?
Find four large cities around the world and an approximate percentage rate of population growth for the countries in which the cities are located.
write a 1-2 page paper using ms word describing the followinghow has technology positivelynegatively affected your
What other research approaches might be better or worse for gaining insight on the reasons behind people's behavior?
Water is pumped into an underground tank at a constant rate of 8 gallons per minute. Water leaks out of the tank at the rate of (t+1)^.5 gallons per minute for 0 ≤ t ≤ 120 minutes. At time t = 0, the tank contains 30 gallons of water.
Inventory carrying costs are $2 per recorder per month. The manager does not want any inventory carried over past the fifth month. The manager wants to know the monthly production that will minimize total production and inventory costs.
out of 180 students taking freshman composition 70 own a car and 115 live on campus. if 10 students neither own a car
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