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Simplify the following expression as much as possible:
x√ 6u^3 - 6u√96ux^2
Assume that all variables represent positive real numbers.
Use Mad to compare simple moving & weighted moving average
What is the mathematical model for the total profit earned by producing and selling x units ? What is the optimal solution for this production model?
Based on the parallelogram law, show that the norms ||.||_1 (1-norm) and ||.||_infinity ( infinity or maximum norm) in R^2 are not induced by any inner product.
A ski-run follows the curve of y=0.01x^2 - 0.6x + 9 from x=0 meters to x=30 meters. What is the angle between the ski-run and the horizontal where x=10?
Write equations for vertical and horizontal lines passing through the point (-6,5) in (x,y) coordinates. A line passes through the point (x,y)= (-9,-5)and has a slope of -8. Write an equation for the line.
Important information about Probability, Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls.
Suppose that f and g are continuous functions and (integral sign) from 2 - 0 of f(x) dx = 5 and (integral sign) from 2-0 of g(x) dx = 13. Compute the following.
In each of the following parts, you should simplify your answers where it is appropriate to do so. Write down the derivative of each of the functions
Express the following in the polar coordinate form: u(r, theta) + i v(r,theta)
A car goes from station A to station B with a speed of 80 km/h and returns from B to A with a speed of 120 km/h. Find its average speed during the whole journey.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
Use polar coordinates to find lim(x,y)->(0,0) [(x)(y^2)]/[(x^2)+(y^2)] note that (x,y)->(0,0) is replaced with r->0^+. explain why this is a valid replacement.
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