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1. What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for someone to evaluate.
2. What is the difference between domain and range? Describe a real-life situation that could be modeled by a function.
Find the equation of the circle with center at the intersection of 4x + y - 4 = 0 and x - y - 6 = 0 and passing through (-1, -3). What is the equation of the circle passing through (12, 1) & (2, -3) and having its center on the line 2x - 5y + 10 = 0..
If A is nonsingular, show that the characteristic values of A^(-1) are the reciprocals of A, and that A and A^(-1) have the same characteristic vectors.
Calculate the change in the odds of CHD in males for each additional time they exercise on average each week.
Early one morning it began to snow at a constant rate. At 7 AM a snowplow set off to clear a road. By 8 AM it had traveled 2 miles but it took two more hours for the snowplow to go another 2 miles.
Determine the stable and unstable manifolds for the rest point of the system.
Let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). Also, suppose that f(a) = f(b) and that c is a real number in the interval such that f'(c) = 0.
A poll states that 30% of the workers in a large company have new desks. If 6 workers are selected at random, what is the probability that at least one worker has a new desk?
How much money did Bob initially deposit into each account? Solve the equation.
a chemist needs 160 milliliters of a 33% solution but has only 21% and 53% solutions available. find how many milliliters of each that should be mixed to get the desired solution.
As a box in the shape of a cube is being blown up, the volume is increasing at the rate of 9 in3/sec. At what rate is the side increasing when the radius is 2 inches?
Complete the given ordered pairs so that each ordered pair satisfies the given equation. Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.
A farmer Wants to fence a rectangular yard using 260 ft of fencing. What dimensions should he use for the greatest area?
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