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A particle is moving along the curve y = 5 √{5 x + 11}. As the particle passes through the point (5, 30), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
By imitating the Dirichlet constructions in Section 4.1 of Abbot, understanding Analysis, how construct a function on R that is differentiable at a single point?
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle.
Find the area of the region bounded by the graphs of the given equations.
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Sarah is a moderately active woman. She weighs 130 pounds, is 68 inches tall, and is 25 years old. Based on the following formula, what are her caloric needs? What happens to her caloric needs as she gets older? Why do you think this happens? usin..
If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?
the base of a solid is an ellipse whose major axis and minor axis are 12 and 8cm long, respectively. what is the volume of the solid if every section perpendicular to the major axis is an is an equilateral triangle.
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why?
Give examples (either a graph or the system of equations) of the 3 types of solutions to a system of linear equations - one solution, no solution, infinitely many solutions.
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
probability question based on contingency table
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