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Qusetion: Let f(x) = x3
a. Find the point on the graph of f where the tangent line is horizontal.
b. Sketch the graph of f and draw the horizontal tangent line.
Suppose that an astronomer needs at least 13 hours of darkness to complete an observation. Using the function you found in Question 1, set up an inequality and solve it algebraically to determine between which two dates the observation can be..
An airplane is on a flight path that passes directly over an observer (see figure). If the distance d from the observer to the plane is 2 miles and the altitude is 1 mile. Determine the angle of elevation from the observer to the plane.
Two armies are advancing on two cities. The first army has 4 regiments and the second army has 3 regiments. At each city, the army that send more regiments to the city captures both the city and the opposing army regiment.
What is the difference between being ethical and being legal? Does one affect the other? Why or why not?
the aliens said a certain number of humans could tour their spaceship. if the humans entered the ship in groups of 234
This plot represents a function. Remember that a closed circle (a dot) on a point indicates the point is plotted, while an open circle indicates that point is not plotted. So, for example, the point (2,2) is plotted, but the point (3,2) is not. De..
What is a scatterplot?- What happens when a scatterplot shows the relationship to be curvilinear?- What is a regression equation? How might an employer use a regression equation?
Calculate the area under the standard normal curve to the left of these values:a. z = -1.4 and z = 1.4b. z = -3.0 and z = 3.0
A researcher wants to determine if teenage drivers of red automobiles are more likely to run a red light than automobiles of any other color. She stands at a busy intersection and records the colors of automobiles which run red lights.
When the Toyota Prius first came out, dealers kept waiting lists of people wanting one and the factories had to ramp up production and order more raw materials. This is an example of derived demand.
(a) Is the system inconsistent, or are the equations dependent, or neither? (b) Is the graph a pair of intersecting lines, a pair of parallel lines, or one line? (c) Does the system have one solution, no solution, or an infinite number of solutions
A spherical balloon is in?ated with gas at the rate of 256 cubic feet per second. Assuming the gas pressure remains constant
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