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A. Find an equation of a stright line passing through the points with coordinates (-1, 5) and (4, -2), giving your answer in the form ax + by + c = 0 , where a, b and c are integers.
b. The line crosses the x-axis at the point A and the y-axis at the point B, and the O is the origin.
Find the area of the triangle OAB.
Factoring is the problem of computing, on input a positive integer n, a factorization of n in terms of prime powers
An electrician charges a fee of $60 plus $45 per hour. Let C(x) be the cost in dollars of using the electrician for x hours. Find the linear cost function.
Find the slope of the line shown and interpret the slope as a rate of change given the following information. I am supposed to present this in business terms using Exxon Mobile as the example and using the mathematical concept of slope and rate of..
Evaluate the integral log3(x)/(2x). Evaluate the integral sinh^6(x)*cosh(x) dx. Evaluate the integral x^2 * sin(2x) dx. Evaluate the indefinete integral sin^5(x) dx
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?
Let f be Lebesgue integrable on [0,1]. Prove that the limit, as k goes to infinity, of the integral from 0 to 1 of (x^k)f(x)dx is equal to 0.
Multiple choice questions on regression.
Find the Expected value of the investment
Suppose u(x, y) and v(x, y) are harmonic in a region under? Under what condition is the product u(x, y) . v(x, y) harmonic? In particular, when is (u^2)(x, y) harmonic?
What are the different forms of linear equations in two variables? Show an example of each form. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)?
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?
The percentage of households with a television tuned in to ad-supported cable increased linearly from 24.6% in 1995 to 42.5% in 2009. The percentage of households with a TV tuned into a major network decreased linearly from 47% in 1995 to 32% in 2..
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