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The derivative of a continuous function at x is the slope of the tangent line to the curve at x. The attached pdf file develops the idea of a derivative first using slopes of secant lines and then introducing and explaining the difference quotient in detail. An example and explanation are provided for using the limit of the difference quotient to find the derivative of the function f(x) = x^2 + 4x.
Need to provide a real world situation where the slope and intercept have some meaning in reality. The situation needs to describe what the dependent and independent variables are and what the slope and intercept means in terms of the real paramet..
Probability and Frequency Distributions. Due to rising medical costs, 43 million people in the United States go without medical insurance
Solving problem on distributive Laws
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
A union strike vote is scheduled for tomorrow, and it looks close. You expect 100 people to vote, and the probability that a typical individual will vote to strike is estimated to be 0.4. Suppose that the voters make their decisions independent from ..
Basic probability problems
What are some similarities and differences between permutations and combinations? Give a real-life example of either a permutation or combination.
The cost per unit of producing each product will be determined by whether a new union labor contract passes or fails. The cost per unit of each product, giving each contract result is shown in the following pay off table.
Compactness and find the Area of region using definite integrals
An objective function is to be maximized given the following constraints: x+2y=4, x-y=1, x=0, y=0. Find the vertices of the set of feasible solutions.
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
A coin is biased to show 38% heads and 62% tails. The coin is tossed twice. What is the probability that the coins turns heads on the second toss?
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