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(A) Find and simplify the difference quotient for G(X)=1/x^2. HINT: After finding the difference quotient, simplify by using an LCD to combine the fractions.
(B) Using the answer above, find the value of the difference quotient at x=1 with an h=.1
C) Sketch a graph of G(x). Mark the point(1,G(1)) on the graph. Sketch a tiny line segment at this point which is tangent to the graph of G(x).
D) Considering the value of the difference quotient at x=1, is G(x) increasing or decreasing at this point? What does the absolute value of the difference quotient tell you about G(x) at this point? Write a few sentences of explanation of your understanding of this concept.
Obtain the composite functions f(g(x)) and g (f(x)), and find all (if any) values of x such that f(g(x)) = g (f(x))
A fast food outlet has an average of 8 cars at the drivethrough during "lunch rush" 11am-1pm. On average, 2 cars per min. arrive at the resaurant parking lot, and consider the drivethrough
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
Nilpotent transformation, Consider the transformation N: V->V. Let g be a vector such that N^k-1 does not equal 0, but N^k = 0. First show that the vectors g,N(g),N^2(g),..,N^k-1(g) are linearly independent
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Let gamma be a closed rectifiable curve in C (Complex plane) and a is not an element of {gamma}. Show that for n>= 2 integral over gamma of (z-a)^-n dz = 0.
Comparing anova with more than two groups.
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If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then its height is a function of time, given by s(t) = -16t squared + 64t.
Make a table showing the probability distribution function(pdf) and cumulative distribution function (cdf) for X. Hint: draw a probability tree modeling the game.
Find the correlation between External and Internal attributions significant?
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
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