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two cars start moving from the same point. one travels north at 30mi/h and the other travels east at 40mi/h. At what rate is the distance between the cars increasing 30 minutes later?
Discuss the general shape and location of each of your graphs and state the domain and range for each of your equations. Write them in interval notation and state whether each of the equations is a function or not giving your reasons for the answer.
What then is the chance that there will be a need for exactly 2 ambulances during that time slot on any given Wednesday morning?
Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval. INTERPRET the answer.
A particle is moving along the curve y= 3 sqrt{4 x + 9}. As the particle passes through the point (4, 15), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this ..
A manufacturer of lightning fixtures has a daily production costs of C(x)=800-10x+0.25x^2 where C is the total cost (in dollars) and x is the number of units produced.How many fixtures should be produced each day to yield a minimum cost?
Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 24 km from the airport.
The force exerted by the wind on the sails of a sailboat is Fsail = 340 N north. The water exerts a force of Fkeel = 150 N east. If the boat (including its crew) has a mass of 320 kg, what are the magnitude and direction of its acceleration?
Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand? Please provide problems for the c..
Let E be an open and convex subset of R^n and let f in C^1(E). Show that f satisfies the Lipschitz condition on E if and only if its derivative Df is bounded on E, that is, there exists a constant M => 0 such that the norm of
ompare the two forecasts by using MAD. Which forecast appears to be more accurate? .
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
Let G = UT (n,F) be the set of the upper triangular n x n matrices with entries in a field F with p elements and 1's on the diagonal. The operation in G is matrix multiplication.
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