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Find all of the real zeros of the polynomial P(x)=3⋅x4+48⋅x3+216⋅x2+228⋅x-135. List the zeros in any order and separate them with commas.
A textbook store sold a combined total of 432 math and physics textbooks in a week. The number of math textbooks sold was three times the number of physics textbooks sold. How many textbooks of each type were sold?
Find the equation of the line that passes through the points (3,1) and (2,-1). Write the equation in slope-intercept form.
In an 8 inch square cake pan and a 9 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 2.5 inches high. Show step by step work. Include correct units with your solution.
the yearly production of a 4 foot orange tree is 16 pounds of oranges. A 17 foot tree produces 82 pounds. Let h represent the height of an orange tree and p the number of pounds of oranges produced.
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.
Programmers need to solve systems of equations, which often come up during the design of the games. As an example, suppose in a video game two persons (or objects) are traveling along linear paths
A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds.
When a mass of 4 kilograms is tied to the middle of the clothesline, it sags a distance of 1 meters. What is the magnitude of the tensions at the end of the clothesline?
Find three positive numbers whose sum is 54 and whose product is as large as possible and find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.
How high does it go before returning to the ground?
What is the area of the shaded region below? Assume the hexagon is regular. Use your calculator and round your final answer to the nearest hundredth.
What is the ant's linear velocity? Include appropriate units in your answer.
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