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The average speed of a vehicle on a stretch of Route 134 between 6 a.m. and 11 a.m. on a typical weekday is approximated by the function F(t) = 22t - 44√(t) + 48 (0 </= t </= 5)
where f(t) is measured in miles per hour and t is measured in hours, with t=0 corresponding to 6 a.m. Find the interval where f is decreasing and the interval where f is increasing.
An airplane flies 470 miles with the wind and 310 against the wind in the same length of time. If the speed of the wind is 30, what is the speed of the airplane in still air?
suppose your friend thinks that perpendicular lines if neither line is vertical have slopes that are reciprocals of
Suppose that η : R^n→ R^n is a Lipschitz function with Lipschitz constant αband 0≤α
Explain why G cannot contain a subdivision of K5, but must contain a subdivision of K3 and draw two such a graphs, one in which K3,3 is a subgraph, and One in which there is a proper subdivision of K3,3 as a subgraph
The length of the red line segment is 12, and the length of the blue line segment is 4. How long is the transverse axis?
Find the indicated probability.
It will be a problem with at least three (3) constraints and at least two (2) decision variables. The problem will be bounded and feasible. It will also have a single optimum solution (in other words, it won't have alternate optimal solutions).
Rewrite the following system of equations as an augmented matrix. Put the matrix in reduced row echelon form to find the solution to the system of equations.
Your weekly paycheck is 20 percent less than your coworker's. Your two paychecks total 885. Find the amount of each paycheck.
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
question for the minkowski plane dmab x2 - x1 y2 - y1. proposition 2.2 states that if ax1y1 and bx2y2 are on the line
Let A = {1, 2, 3, 4, 5, 6,12} and define the relation R on A by m R n iff m|n. Show that this relation is a partial ordering relation. Draw its Hasse diagram.
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