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Find the point on the parabola shown below that is closest to the point (5, 0).
(a) Express the square of the distance between the parabola and the point (5, 0) in terms of x only. Note: Minimizing the square of the distance can be used in this case to avoid working with square roots.
(b) Find the coordinates of the point on the parabola to two decimal places.
Determine the equation of the tangent line to f(x) = x2(2x+1)2 at x =1. Find the y' For x2y + 4(2 - y2)2.5 = 5y2 - 5
75% of a number when added to 75 is equal to the number. The number is: (a) 150 (b) 200 (c) 225 (d) 300 (e) 320
What is a binomial factor? In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process.
Estimate the area under the graph of f(x)=2sinx between x=0 and x=pi/2 using five approximating rectangles of equal withs and right endpoints as sample points.
The loan requires a 10% down payment and 36 equal payments of $205.00. According to this information, what would be the finance charge on the loan? Show all work.
the length of a rectangular tennis court is six feet more than twice the width. what is the width of the court if the lenght is 78 feet.
A surveyor maps out a triangular plot of land. The plot has angles of 54 degrees and 38 degrees. What is the measure of the plots third angle?
The lowest flying speed v (in ft/s) at which a certain airplane can fly varies directly as the square root of the wing load w (in lb per sq. ft). If V=88 ft/s when w= 16 lb/sq ft, find the derivative of v with respect to w.
implement the following Boolean function F, together with the don't care conditions d, USE NO MORE THAN TWO NOT GATES:
A ferris wheel with a radius of 10 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 16 m above ground level?
volume of wood in a tree trunk varies jointly as the height and girth. if the volume is 53m^3, when the height is 20m and the girth is 1.5m, what is the volume when the height is 76m and the girth is 2m?
a mountaineer leaves home at 7am and walks to the top of the mountain arriving at 7pm. the following morning he starts
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