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The height , y meters, of an emergency flare fired upward from a small boat can by modelled by the function y= -5(x-4)squared+80, where x seconds is the time since flare was fired.
Describe how the graph of y= -5(x-4)squared+80 can be obtained by transforming the graph of y= x squared Interpret the equation of the transformed function to find the maximum height reached by the flare and the time it takes to reach it, Graph the object, y=x squared and the image, y= -5(x- 4)squared+80
Use rules of differentiation.
Consider the following six" postulates" Art, Bev, Cheryl , Dot and Ed all attend the same college where one is a freshman, one is a sophomore, one is a junior, one is a senior and one is a graduate student.
How many different 4-card hands are possible? How many different 4-card hands contain a number less than 7?
alculate the ninety-nine percent confidence interval find the mean gasoline mileage for 2006 cars when horsepower is 220.
Set up an equation and solve the following problem. The length of a rectangular floor is 8 meter less than twice its width. If a diagonal of the rectangle is20 meters, find the length and width of the floor.
We may think that this is similar to a Fresnel Integral (sin(x^2)). In that case, we would set z=e^(iz)^2, and then integrate over the special contour with regions I: 0 to R, II:
Evaluate the function for the values of x given as 1,2,4,8,16. Describe the differences in the rate at which each function changes with the increasing values of x.
Suppose that a body moves in a straight line through a resisting medium with resistance proportional to the square of it's speed v with initial speed v_0 and initial position x_0.
The solution to minimization, The ABC small-scale industry has production facilities for two different products. Each of the products requires three different operations
Water flows in a 400mm diameter drain to a depth of 150mm. Calculate the wetted perimeter of the drain and the cross sectional area of the water
A corporation is considering a new issue of convertible bonds. Management believes that the offer terms will be found attractive by 20% of all its current stockholders. Suppose that this belief is correct. A random sample of 144 current stockholde..
Use partial decomposition to integrate. (2x^2-x-20)/(x^2+x-6 ). (sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t)
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