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The floor of a shed has an area of 104 square feet. The floor is in the shape of a rectangle whose length is 3 feet less than twice the width. Find the length and the width of the floor of the shed.
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamp to generate the greatest possible profit?
Derive an expression Π(q) for the firms profit function and is the rate of change of profit increasing or decreasing when the ouput level of the firm is q=10?
How many license plates using 6 digits can the state of Vermont issue if repetition of digits is permitted - how many ways can the horses finish the race - How many of the first 100 natural numbers are multiples of 2 or multiples of 5?
Find the function f(x,y) whose differential is df = (x+y)-1 dx + (x+y)-1 dy and which has the value f(1,1)=0. Do this by performing a line integral on a rectangular path from (1,1) to (x1,y1) where x1>0 and y1>0.
How fast is the spotlight moving along the wall containing the gate (in feet per minute) when it hits Bob if Bob is 1200 feet from the gate along the side of the rectangle containing the only gate?
Assuming the change of either a boy or a girl is equal (50% each), what is the chance that the family has three girls given that the first child is a girl.
A laboratory designed a radio telescope with a diameter of 380 feet and a maxium depth of 38 feet. The graph depicts a cross section of this telescope. Find the equation of the parabola?
How much would the systolic blood pressure have to increase in order to restore the flow in the 50% occluded artery so that it matches the flow in an open artery with a systolic pressure of 120 mm Hg?
Use graphing technology and the method in Example 5 to find the x-coordinates of the critical points, accurate to two decimal places. Find all relative and absolute maxima and minima.
the diagonals of parallelogram abcd not shown are perpendicular. if one diagonal has a length of 10 and the other
mike was playing golf at hartford golf club. he hit the shot from the 4th tee which was 7 yards above the ground
Find a value of v that makes the line perpendicular to the plane P. Find a value of v that makes the line parallel to the plane P. Find values for v and p0 that make the line lie in the plane P
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