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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.
Relationship between Standard error
What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters
What is the probability that it is orange? What is the probability that it is orange, given it is NOT red?
Graphical Probability and Graphical Cumulative Probability. A fair coin is tossed 10 times. Let X be the number of tails observed.
Mary is taking courses in both Reading and English. She estimates her probability of passing Reading of 0.4 and English at 0.6 and she estimates her probability of passing at least one of them at 0.8.
Explain what is meant by a function. Give two real-world examples of relationships that are functions and two real-world examples that are not functions.
Determine the type I and type II error
There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table.
Rate of change over the time intervals .
There are three methods to solving Linear Systems with two Equations. They are the Graph method, the Elimination method, and the Substitution method.
Prepare the equation of the rectangular hyperbola - Find the equation of the rectangular hyperbola
Explain why the existing $310,000 of fixed costs is a sunk cost, while the $320,000 of fixed costs associated with the proposed addition is an out of pocket cost.
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