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A box with a square base has length plus girth of 108 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in?
Prove that the intersection of any collection of closed sets in X is a closed set and prove that the union of finitely many closed sets in X is a closed set.
The current in a circuit is i = 2.00 cos 100t. Find the voltage across a 100-microfarad(uF) capacitor after 0.200 s, if the initial voltage is Zero (one microfarad(uF)=10 to the power of -6 F).
The instructor wants to award the grade of A to the upper 10 percent of the test grades. What is the dividing point between an A and a B grade?
Describe it in words. A bowl opening to the left with a vertex at (2, 0, 0). A bowl opening to the right with a vertex at (- 2, 0, 0). A bowl opening upwards with a vertex at (0, 0, 2).
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
Suppose that you earned a bachelor's degree and now you're teaching middle school. The school district offers teachers the opportunity to take a year off to earn a master's degree. To achieve this goal you deposit $1500 at the end of every three mon..
At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground?
Due to a manufacturing error, three cans of diet soda were accidentally filled with regular soda and placed into a 12-pack. Two cans are randomly selected from the case.
Explain why vectors QR and RQ are not equivalent. Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.
A manufacturer sells video games with the following cost and revenue functions (in dollars) where x is the number of games sold. Determine the intervals on which the profit function is increasing.
Find the maximal interval of existence. Find the dynamical system defined by the solutions
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