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Choose one equation of each type: linear, quadratic, polynomial, rational, exponential, and log. Plot each equation on the same graph. Discuss and compare the appearance of each graph. Describe the plot's shape, the effect of any constants, and behavior for very large or very small x or y.
Find the maximum depth using the given function - What is her depth after 4 sec? After 6 sec?
Angular speed and linear speed - A bicycle wheel with a 26 inch radius is spinning at a rate of 4 revolutions per second.
Derivative of the natural logarithm by using the fundamental theorem of calculus - Evaluate the derivative of y = ln x. This solution below is not complete.
Escher style tessellation
The professor counts his midterm as 2/3 of the grade and his final as 11/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put her average between 70 and 79 inclusive?
A particular test for the presence of steroids is to be used after a professional track meet. If steroids are present, the test will accurately indicate this 95% of the time.
What is the probability that all four share the same birthday? What is the probability that none of the four shares the same birthday?
Objective question based on probability distribution.
Determine the type I and type II error
A particular spell has a .18 (i.e. 18%) chance to do critical damage. What is the probability that a spell can be cast 10 times in a row without doing critical damage? What is the probability of the sum of two dice equaling an odd number?
The differentiation
Matrice operations solve the problem
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