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Find equations of both lines through the point (2, -3) that are tangent to the parabola y = x2 + x.
Trevor's weekly allowance is calculated using a point system. For each chore he does, Trevor gets a point. For each chore he misses, he loses a point. Each point is worth $2, and negative points mean that Trevor owes money to his parents.
True or False: The graph of every equation of the form y = ax2 + b, where a and b are real numbers and a is not zero, is a parabola with the y-axis as the axis of symmetry.
Simulations are essential models for processes with a mathematical representation of the entity behavior. Which is more difficult to model: the process or the entity behavior?
Two cables are pulling on a steel beam. Both attached at the same location (0, 0). the first cable pulls with a force of 1 500 newtons at a 76° angle and the second cable pulls with a force of 2100 newtons at a 138° angle.
24. Business partners want to purchase a restaurant that costs $750,000. They have $300,000 for a down payment, and they can get a 25-year business loan for the remaining funds at 8% per year on the unpaid balance, with quarterly payments.
Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear
Factorize the given expression - Evaluate the perfect square
a business sells brass and steel machine parts. one shipment contains 3 brass and 10 steel parts and costs 48. a
Estimate that the interest rate might increase or decrease by as much as one percentage point. Also, the price of the house might increase by as much as $10,000-it certainly won't decrease.
Consider ∫R∫ xy dA, where R is the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1. Find a formula for the Riemann sum. Evaluate the formula. Check your answer by evaluating the iterated integral,
A child with an ear infection is given a 200-mg ampicillin tablet once every four hours. About 12% of the drug in the body at the start of a four-hour period is still there at the end of that period. Calculate the quantity of ampicillin in the body r..
a different smooth structure on r show that u phi given byis a local chart of the topological manifold m r which is
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