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At the point (1, -1, 1) on the surface f(x,y) = 4 - x2 -2y2, calculate a vector perpendicular to the surface and a vector tangent to the curve of steepest ascent.
Express the area of the triangle in terms of x only. Find A '(x). Find the critical point for x > 0. Find the maximum area of the triangle. Give an exact answer.
A2 b2 c2 . a3 b 3 c 3 Determinants and linear transformations Given a linear transformation T : Rn Rn . Then there exists a square matrix A such that T (x) = Ax. What is the signicance of det A in this situation?
Give functions f(x) and g(x) with the following properties; (i) lim f(x)=0 (ii) lim g(x)=0 (iii) lim (f(x) / g(x)) = 5
How far should its base set away from the building wall? Explain your answers and show your calculation. NOTE: You may need to apply the Pythagorean Theorem when solving this question.
the time spent in days waiting for a heart transplant in two states for patients with type a blood can be approximated
If investors invests $10,000 for one month in a company whose stock either goes up by 80% after a month with probability 1/2 or drops 60% with probability 1/2.
The derivative from the rate of changes
A population of protozoa develops with a constant relative growth rate of 0.8329 per member per day. On day zero the population consists of six members. Find the population size after eight days. (Round your answer to the nearest whole number.)
Find the sample size needed to assure with 95.44 percent confidence that the sample mean will not differ from the population mean by more than 2 units.
If local mortgage rates are 7.5%/year compounded monthly for a conventional 30-yr mortgage, what is the price range of houses they should consider?
If triangle DEF has vertices with the coordinates D (9,-3), E(-6,3) and F(3,6), what are the verticles of triangle D' E' F' under the dilation with the scale factorof 2/3 and the center of the origin (0,0)?
A man standing on the roof of a house of height h throws one particle vertically downwards and another particle horizontally with the same velocity u. Find the ratio of particles velocities when they reach the earth's surface.
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