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To prove summation formulae. Be sure to identify where you use the inductive hypothesis.
a) Find a formula for the sum of the first n even positive integers.
b) Prove the formula that you conjectured in part (a).
Suppose a rational function R(x) has the horizontal asymptote y = 3/2. Explain the behavior of the function as the variable x increases without bound.
a steep mountain is inclined 79 degrees to the horizontal and rises 3100 ft. above the surrounding plain. a cable car is to be installed from a point 900ft from the base of the mountain. find the shortest length of cable needed?
Find the volume of a solid that is generated by rotating the region formed by the graphs of y=x^2, y= 2, and x = 0 about the y-axis?
If i throw a thumbtack on the desk it can land either point straight up or point down (on its side) Explain one way that I should estimate
Find an expression for g(x) similar to the one for f(x). Sketch the graphs of f and g. Where is f differentiable? Where is g differentiable?
Example of a Random Procedure with Specified Events. Please list as many different groups of complete events as possible for an experiment of your choice (Probability). Need real world example on complete events
Debate if "failing to reject the null" is the same as "accepting the null." Support your position with examples of acceptance or rejection of the null. Next, give your opinion on whether or not a failed t test "proves" the null hypothesis.
Find the maximum and minimum, changes in concavity, intervals of increasing and decreasing, and asymptotes of the below function.y = In [sin(x)+2]
An equilateral triangle and a regular hexagon have equal perimeters. What is the ratio of the area of the triangle to the area of the hexagon?
Compute the p-value for the following hypothesis test for the difference between two means with unknown population variances.
The manager of a large apartment complex knows from experience that 120 units will be occupied if the rent is 400 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 5 dollar increase i..
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