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A 43 in piece of string is cut into two pieces. One piece is used to form a circle and the other to form a square. How should the string be cut so that the sum of the areas is a minimum?
No fencing is required along the river. (See the figure below.) What are the dimensions of the largest area that can be enclosed?
A surveyor standing 66 meters from the base of a building measures the angle to the top of the building and finds it to be 36°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall i..
Draw a picture of every tree with 1, 2, 3, 4, 5, or 6 vertices. Just include one copy of each tree - that is to say you should eliminate any trees that are isomorphic to others on your list.
A company's revenue is the amount of money that comes in from sales before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
Equation of the hyperbola if equations of Asymptotes are given - Determine angles between the Asymptotes of the Hyperbola.
What is the value of the mean square for treatments (the "between groups" mean square) that would be reported in a ANOVA test?
How can you compute the union and intersectio of two sets, using some of the methods that the set interfce provides? hint: your code should not be bigger than four lines
Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) with the initial conditions a(0)=0 and a(1)=2. Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) +12 with the initial conditions a(0)=0 and a(1)=2.
Approximately one-half of all glass bottles distributed will be recycled each yesr, A beverage company distributes 310,000 bottles. The number still in use after t years is given by the function N(t) = 310,000(1/2)^t
A 112 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 72 ft downhill from the base of the tower. Find the shortest length of wire ne..
Find the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k.
A bullet is fired horizontally at a target, and the sound of its impact is heard 3.5 seconds later. If the speed of the bullet is 3300 ft/sec and the speed of sound is 1100 ft/sec, how far away is the target?
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