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The solutions (x,y) of the equation x2 + 16y2 = 16 form an ellipse as pictured below. Consider the point P as pictured, with x-coordinate 2.
(a) Let h be a small non-zero number and form the point Q with x-coordinate 2+h, as pictured. The slope of the secant line through PQ, denoted s(h), is given by the formula.
(b) Rationalize the numerator of your formula in (a) to rewrite the expression so that it looks like f(h)/g(h), subject to these two conditions: (1) the numerator f(h)defines a line of slope -1, (2) the function f(h)/g(h) is defined for h=0. When you do this
f(h) = ___
g(h) = ___
(c) The slope of the tangent line to the ellipse at the point P is
limh→0 s(h) = ___
3. From the 12 male and 9 female sales representatives for an insurance company, a team of 3 men and 4 women will be selected to attend a national conference on insurance fraud.
Do the results in question 1 indicate that it is appropriate to use the Tukey-Kramer procedure to determine which designs differ in mean distances?
Now you are studying a habitat in west Texas which contains 6 different species of scorpions: Centruroides vittatus (CV); Diplocentrus lindo (DL); Maakuyak waueri (MW); Paruroctonus gracilior (PG); Pseudouroctonus apacheanus (PA); and Chihuahuanus..
The first equation in a system of two equations is x - 2y = 10. The graph of the second equation does not intersect the first. Write a possible second equation for the system and explain your answer. (Note: There are multiple equations that will work..
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United States imports increased 20 percent and exports decreased 10 percent during a certain year, the ratio of imports to exports at the end of the year was how many times the ratio
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The one-to-one functions g and h are defined as g={(0,-9),(1,-5),(2,0),(4,1)} h(x)=3x+8. Find g^-1(0), h^-1(x), (hxh^-1)(-7)?
A box has a bottom with one edge 6 times as long as the other. If the box has no top and the volume is fixed at V, what dimensions minimize the surface area?
the following data list worldwide shipments of personal computers in thousands according to dataquest.year shipments in
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