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Chapter 2: Problem 72
Solve the inequality. (Round your answers to two decimal places.) $$\frac{2}{3.1 x-3.7}>5.8$$
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Use the position equation $$s=-16 t^{2}+v_{0} t+s_{0}$$ where \(s\) represents the height of an object (in feet), \(v_{0}\) represents the initial velocity of the object (in feet per second), \(s_{0}\) represents the initial height of the object (in feet), and \(t\) represents the time (in seconds). A projectile is fired straight upward from ground level \(\left(s_{0}=0\right)\) with an initial velocity of 160 feet per second. (a) At what instant will it be back at ground level? (b) When will the height exceed 384 feet?
A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 8000 square feet. Within what bounds must the length of the rectangle lie?
Use the given zero to find all the zeros of the function. Function \(h(x)=3 x^{3}-4 x^{2}+8 x+8\) Zero \(1-\sqrt{3} i\)
Find all real zeros of the function. $$f(y)=4 y^{3}+3 y^{2}+8 y+6$$
cost The ordering and transportation cost \(C\) (in thousands of dollars) for machine parts is \(C=100\left(\frac{200}{x^{2}}+\frac{x}{x+30}\right), \quad x \geq 1\) where \(x\) is the order size (in hundreds). In calculus, it can be shown that the cost is a minimum when \(3 x^{3}-40 x^{2}-2400 x-36,000=0\) Use a calculator to approximate the optimal order size to the nearest hundred units.
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