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A graphic artist is producing a poster 40cm wide and 55cm long. The poster will feature a rectangular design surrounded by a border of uniform width.
Writ a polynomial function that represents the possible area of the rectangular design in terms of the with of the border.
Write the equation of a line perpendicular to the given line but passing through the given point.
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
Discuss the case when b = 6. Interpret your solutions in terms of the kernel and image of the linear transformation T: o^3 --> o^3 represented by the equations.
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
Make the appropriate test statistics & the rejection of your test.
A textbook store sold a combined total of 304 history and sociology textbooks in a week. The number of history textbooks sold was three times the number of sociology textbooks sold. How many textbooks of each type were sold?
The Family Arts Center charges $21 for adults, $13 for senior citizens, and $7 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $9833 for 745 tickets sold. There were 47 more children th..
Discuss the financial implications of gross uncollectibles on the bottom line of the healthcare institution, and explain how these are recorded on the financial statements.
How much should he invest in each to maximize his return? Assume the investment returns are as expected.
How many patients would you expect to vaccinate before the first side effect is observed?
The postal service provides at least one good example of a function with jump discontinuities. What is one such function, taken from the postal service or some other real life example?
All of the graphs in occur in real life. Find a real-life application of each of the below graph and describe the characteristics of each application as related to the graph.
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