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The k-Path problem is the problem of determining whether a graph on n vertices has a path of length k, where k is allowed to depend on n. Show that the k-Path problem is NP-complete.
Find how fast temperature is changing for the bug after 2 seconds if the temperature function satisfies Tz(√3, -8) = 3 and Ty(√3, -8) = -1. Provide a graph of the bug's position during the first 6 seconds.
How much of each must be used to prepare 50 milliliters of solution with a drug concentration of 1 mg/mL?
Rational root theorem and synthetic division - Use the rational roots theorem and synthetic division to find the years the country " broke even" (dept = surplus = 0) from 1990 to 2000.
Write the equation of a line perpendicular to the line y=5 and through the point (3,5)
A model of a baseball diamond is a square with a perimeter of 36 in. What is the length on the model from first base to third base? (round to the nearest whole number)
Suppose a regular pentagon is centered on the y axis and sitting with its base on the x axis. If the pentagon has sides of length 9.7, find the equation
find a general formula for f(x)= [f(x+h)-f(x)]/h as h→0 (steps 1 through 3 performed). factor the expression in part b. with one factor equal to (sinθ)/θ. (find remaining factor).
If you have 280 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
optimization, A force of 200 pounds acts on the bracket shown in the figure. Determine the vector AB and the vector F representing the force. Find the magnitude of the moment about A by evaluating Ab multiplied F.
Determine the flow Qt : R^2 into R^2 for the nonlinear system: x' =f(x) with f(x) = [ -x1 ], [ x1^2 + 2x2 ]
What do students need to "know" regarding the curriculum? What is the role of rote memory in learning? What do behavioral, cognitive, and constructivist perspectives on learning have to offer?
Use a graphing calculator, a spreadsheet, or mathematical software to obtain the solution. Find the APR on a 20-year mortgage of $562,000 carrying a stated interest rate of 4.5% compounded monthly and seven points.
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