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Use the derivative of the function f(x)= x tan(x)-2 and graph this derivative on the interval [-1.5, 1.5 ]. Accurately graph and label your derivative. Use the graph to find critical points. Label these points on your graph. Apply the extreme value theorem to find the absolute extrema of f(x) on the closed interval , [-1.5, 1.5]
State Euler's Circuit Theorem. Explain why this theorem should be true and explain Cantor's Diagonalization Argument. Give examples and explain what this argument was used for.
Probability : Demand for a Product The demand for a product is estimated to be normally distributed with u=200 and o=40. Let x be the number of units demanded
Normal Probability: Diameter of Grapefruits. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches.
Given f( x) = 2/x-1 , use the four step process to find a slope predictor function m(x). Then write an equation for the line tangent to the curve at the point x = 0.
A Stirling number Snk is definedc as the number of ways of partitioning the set of positive numbers (1,2,3,....n) into k non empty subsets.
Which of the following is the complete set of numbers for which the function f(x) = 3x^3-6x^2 is convex?
What must be the odds against outcome four if there is to be no possible arbitrage when one is allowed to bet both for & against any of the outcomes?
When Mike throws the frisbee there is a 0.65 probability that Sally gets it, a 0.27 probability that it comes back to Mike, and a 0.08 probability that the dog runs away with the frisbee.
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
Solve the following system of equations using the Substitution method: Solve the following system of equations using the elimination method:
The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by:
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