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The temprature recorded in a city during a given day approximately followed the curve of T=0.00100t^4-0.280t^2+25 where t is the number of hours from noon (-12hours < t < 12hours). What is the average during the day. a=0, b=5
Calculate the value of the sample correlation coefficient between weekly sales & shelf space.
Law of sines.
Please solve the following initial value problem: We solve the initial value problem using separation of variables. We use partial fractions to solve for the integral of 1/(x^2-4).
Find the range of optimality for Cx, You are given a linear programming problem that has already been solved. The following conditions hold
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
Hypothesis test for single mean
Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why?
Simply supported beam- Maximum bending moment, The bending moment M at position x m from the end of a simply supported beam of length L m carrying a uniformly distributed load of w Kn m-1 is given by
When the temperture stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 70 cubic inches of gas at a pressure of 14 pounds per square inch
Find an 85 percent confidence interval
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
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