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consider the data points (1,9) (2,8) (3,6) and (4,3). Find the straight line that provides the best least-squares fit to these data.
A recent poll found that 30% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that all three will be worried about aggressive drivers on the road?
Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on you..
Find the area of the enclosed region between the curve and the coordinate axesthe graph is just the coordinate system with an ellipse draw over it, no numbers or letter are present
Write an equation for the secant line AB where A= (a,f(a)) and B= (b,f(b)) Write an equation for the tangent line that is parallel to the secant line AB. Approximating functions: Let f be a function with f'(x)= sinx^2 and f(0)= -1
A poster is to have an area of 150 square inches with 1 inch margins at the bottom and sides and a 5 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Linear Transformations, Rotations, Submodules and Subspaces, (7) Let F=R, let V=R^2 and let T be the linear transformation from V to V which is rotation clockwise about the origin by pi-radians. Show that every subspace of V is an F[X]-submodule f..
A fitness ball is delivered in a flat package with a hand pump. The Pump Inflates the ball at a rate of 280 cubed per pump, to a diameter of 28 cm. How many pumps are needed to inflate the ball
Calculating the first derivative and critical point.
Mathematics-Supply Greater Than Demand- Transportation Model, A company which owns hauling trucks moves materials between three sources (depots) and three destination projects.
An initial population of 655 quail increases at an annual rate of 18%. Write an exponential function to model the quail population.
A chip is selected at random, what is the probability that it is from Machine I and is defective? A chip is selected at random, what is the probability that it is defective?
Rate of change over the time intervals .
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