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Question: A cone is made of a circular plate of a given radius R by cutting a sector of some angle Q and welding the remaining edges. Draw the graph of the volume V of the resulting cone as a function of Q . What is the maximum volume which can be obtained, and for what value of Q?
You are designing a rectangular poster to contain 128 in2 of printing with a 4 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used?
In what direction should the bug move from P for the temperature to increase the fastest? What is the magnitude of the rate of change of temperature in that direction?
Nilpotent transformation, Consider the transformation N: V->V. Let g be a vector such that N^k-1 does not equal 0, but N^k = 0. First show that the vectors g,N(g),N^2(g),..,N^k-1(g) are linearly independent
Find a vector equation for the line through the point P = (-4, -1, 1) and parallel to the vector v = (1, 4, 3).
The u. s. census bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical area. each metropolitan statistical area.
Use the first derivative test to locate and identify all relative extrema
Center of Mass of 3D Pyramid, Finding the center of mass of a square-based 3D pyramid is usually done in calculus, but our professor wants us to work it out in algebra.
You are designing a rectangular poster to contain 162 in2 of printing with a 4 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used?
The speed of signaling by use of a certain communications cable is directly proportional to x2 to x-1 where x is the ratio of the radius of the core of the cable to the thickness of the surrounding insulation. For what value of x is s a maximum?
Show that |I|= 1 for any the vector norm used. As always, I is the identity matrix.
Also, when referring to culture, this is not about company culture, but country culture that impacts the relationship. Of course, country culture impacts company culture, but there is a nuance here you need to pay attention to.
Suppose the current is 3 amps and increasing at 10-2 amp/sec and R1 is 3 ohms and increasing at 0.5 ohm/sec, while R2 is 5 ohms and decreasing at 0.1 ohm/sec. Calculate the rate at which the voltage is changing. Give your answer to 4 decimal place..
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