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At university , all first-year students must take chemistry and math. Suppose 15% fail chemistry, 12% fail math, and 5% fail both. Suppose a first-year student is selected at random. What is the probability that student selected failed at least one of the courses?
Calculate the number of years for money to increase by a factor of 4 at 4.8% p.a. compounded monthly.
Linear Combinations, Basis and Transformations, 1. Given a basis B = { u1 = [1, 2], u2 = [2, 1] } for R^2, express u = [7, -2] as a linear combination of u1 and u2. How many ways can you do this?
Determine the stable and unstable manifolds for the rest point of the system.
Solve the system of equations-Solve systems of equations with two and three variables.
A bias coin is tossed four times. If probability of head in a single toss is 0.61, find the probability of
Find the probability that a randomly chosen subscription
A particle moves along the graph of the function y=8/3x^3/2 (the 3/2 is the exponent on the x) at the constant rate of 2 units per seconds.
Please DO NOT USE Euler's function. You can only use Fermat's Little theorem if needed.
A particle is set in motion at time t=0 and moves to the right along the x-axis. (a) Suppose that its acceleration at time t is a=100e^(-1). Show that the particle moves infinitely far to the right along the x-axis.
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
Find the point of equilibrium for a system that has a demand equation p = 45 - 0.0003x and a supply equation p = 29 + 0.00002x
Corey is asked to find the maximum value of a function. Not having a complete understanding of the process, Corey decides to find the derivative of the function, set it equal to zero, and solve. The resulting value, Corey reasons, will yield the m..
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