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Evaluate the exponential equation y=-3^x for three positive values of x, three negative values of x, and at x=0. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph (if any).
Suppose a regular pentagon is centered on the y axis and sitting with its base on the x axis. If the pentagon has sides of length 9.7, find the equation
Evaluate critical points, end points, local extrema and global extrema - Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.
A large research hospital has accumulated statistical data on its patients for an extended period. Researchers have determined that patients who are smokers have an 18% chance of contracting a serous illness such as heart disease
Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in mph) during the first 10 seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris..
A spherical balloon is inflated with gas at the rate of 32 cubic feet per minute. How fast is the radius of the balloon increasing at the instant the radius is 2 feet?
Sketch hyperbola after finding Center, Vertex and Foci of this equation: (y+5)squared/16 - xsquared/9 =1. Please show steps needed
Choose h and k such that the system has (a) no solution, (b) a unique solution and (c) many solutions.
two tracking stations are on the equator 162 miles apart. a weather ballon is located on a bearing of n 43 from the western station and on a bearing of n 22 e from the eastern station. how far is the ballon from the western station? Round to the n..
For t is greater and equal to 0 and less than and equal to 1, a bug is crawling at a velocity v, determined by the formula v=1/(1+t) where t is in hours and v is in meters/hr. Find the distance that the bug crawls during this hour using ten minute..
the population of Atlanta, GA was 416.1 thousand in January of 2000. By January 2010, the population had grown to 540.9 thousand.
marta's checkbook shows that she wrote a check for 987$ for building materials. what was the price of the materials if the sale tax is 5% ?
Find (dy/dx) by implicit differentiation for the following equation:
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