For the following exercises, express the equation for the hyperbola as two functions , withy as a function of x. Express as simply as possible. Use a graphing calculator to sketch the graph of the two functions on the same axes. 59. − 4 x 2 − 16 x + y 2 − 2 y − 19 = 0
For the following exercises, express the equation for the hyperbola as two functions , withy as a function of x. Express as simply as possible. Use a graphing calculator to sketch the graph of the two functions on the same axes. 59. − 4 x 2 − 16 x + y 2 − 2 y − 19 = 0
For the following exercises, express the equation for the hyperbola as two functions, withy as a function of x. Express as simply as possible. Use a graphing calculator to sketch the graph of the two functions on the same axes.
59.
−
4
x
2
−
16
x
+
y
2
−
2
y
−
19
=
0
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
To design the interior surface of a huge stainless-steel tank, you revolve the curvey = x3, 0 ≤ x ≤ 3, about the y-axis. The container, with dimensions in meters, is partiallyfilled with seawater, a cubic meter of which weighs 10,000 N. The depth of the water is 1m.How much work will it take to empty the tank by pumping the water to the tank’s top?
Find the point on the parabola x + y^2 = 0 that is closest to the point (0, -3)
For the following problems, consider a lifeguard at a circular pool with diameter 40m. He must reach someone who is drowning on the exact opposite side of the pool, at position C. The lifeguard swims with a speed vv and runs around the pool at speed w=3v.
329.
A truck uses gas as g(v)=av+(b / v), where v represents the speed of the truck and g represents the gallons of fuel per mile. At what speed is fuel consumption minimized
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Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY