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Question: Consider the functions f(x) = x3 , g(x) = x4 , and h(x) = x4.
A. Show that x = 0 is a critical number of each of the functions f, t, and h.
B. Show that the second derivative of each of the functions f, t, and h equals zero at x = 0.
C. Show that f has neither a relative maximum nor a relative minimum at x = 0, that t has a relative minimum at x = 0, and that h has a relative maximum at x = 0.
A certain disease has an incidence rate of 0.1%. If the false negative rate is 0.5% and the false negative rate is 0.4%, compute the probability that a person who tests positive actually has the disease.
The distance from a star to a planet is 3.1 * 1019 m. How long does it take light, traveling at 1016 m/year, to travel from the star to the planet?
Suppose the minimum detectable amount is 0.1% and a dinosaur is dated with 40K to be 69 million years old. Is this possible? What is the maximum age of a fossil that we could date using 40K?
A water lily is growing on a pond. The plant doubles in size each day. After 30 days it will completely cover the pond. For a long time the plant is almost invisible, so you decide to cut it back when it covers half the pond. On what day will that be..
What is the probability of a student signing up for a new business out of a number of 6000, where every 4th person gets stops?
Suppose that we vary the payoff to the winning player in the game of nim so that the payoff is n dollars when n is the number of legal moves made before a terminal position is reached.
find parametric equations for the tangent line to the curve with the given parametric equations, x=2cost, y=2sint, z=4cos2t, at the specified point (sqrt(3),1,2)
Determine which of the following passages are arguments. For those that are, identify the conclusion. For those that are not, determine the kind of non-argument.- Young people at universities study to achieve knowledge and not to learn a trade.
There is a test available to screen for cancer. Applied to people who do not have cancer, a test in one clinic has about a 0.6% false-positive rate; that is, the rate of falsely indicating that cancer is present.
There is a 5 gallon and a 3 gallon box. You likewise have a hose with boundless water. How are you going to make the 5 gallon have 4 gallons utilizing your things?
Advanced calculus problem. Semi increasing function.
The Hill of Tara in Ireland is a place of great archaeological importance. This region has been occupied by people for more than 4,000 years. Geomagnetic surveys detect subsurface anomalies in the earth's magnetic field. These surveys have led to man..
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