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A piece of wire 60 centimeters in length is to be cut into two pieces.One piece will ne beny into a square an the other piece will be bemt into an equilateral triangle. How should the wire be divided in order to minimize the total area enclosed?
Write down the parametric equation for a line that passes the points (2, 1) and (5, 4). Write down the implicit form of a line that passes the point (7, 0) and has unit normal √6/3,√3/3. What is the intersection point of the two lines?
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
determine the height and velocity of the rocket at the moment when the fuel is exhausted. B. at what time does the rocket reach it's maximum height, and what is that height. C. at what time does the rocket land.
If a window entails a seamless glass area formed by a rectangle capped by semi-circle, if the semi-circle's diagonal and the rectangle's width coincide, and if the window's exterior perimeter is 16 feet
A river 35 m wide flows south at a speed if 15 m/s. What must be the velocity and heading of the boat if it is to move directly from the west bank to the east bank in 5 seconds?
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
Determine the time that needs to elapse before the pan is 160 F. What do you notice about the temperature as time passes?
Find the three qualitatively different regimes of growth from the given data - formulation to distinguish and describe three qualitatively different regimes of growth
Paul makes $25.00 a week less than the sum of what Fred and Carl together make. Carl's weekly income would be triple Steven's if he made $50.00 more a week. Paul makes $285.00 a week and Steven makes $75.00 a week. How much does Fred makE?
Find the condition that the curve y = mx + c to be a tangent to the parabola y^2 = 4 ax and also determine the point of contact.
find an equation of the line passing throughout (-3,4) and parallel to the x-axis.
Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
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