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a) The distance d that can be seen from horizon to horizon from an airplane varies directly as the square root of the altitude h of the airplane. If d = 213 km for h = 3950 m, find d for h = 5250 m.
b) The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V = 250 cm3 when T = 200° C and P = 130 kPa, what is the volume when T = 170°C and P = 130 kPa?
c) The acceleration of gravity g on a satellite in orbit around the earth varies inversely as the square of its distance r from the center of the earth.
If g = 8.7 m/s2 for a satellite at an altitude of 400 km above the surface of the earth, find g if it is 1000 km above the surface.
The radius of the earth is 6 6.4×10 m.
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450 students. if there are 50 more boys than girls, how many boys and girls are there?
Parametric Equations and Curves Till to this point we have looked almost completely at functions in the form y = f (x) or x = h (y) and approximately all of the formulas that w
Covariance The variance is a measure of the variability or dispersion in a variable or data set. A measure of the variability of one variable (or data set) in relatio
verify liouville''s theorem for y''''''-y''''-y''+y=0
Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb iff a|b. (a) Write down the matrix of R. (b) Draw the digraph of R. (c) Explain whether R is reflexive, irrere
If α,β are the zeros of the polynomial 2x 2 - 4x + 5 find the value of a) α 2 + β 2 b) (α - β) 2 . Ans : p (x) = 2 x 2 - 4 x + 5 (Ans: a) -1 , b) -6) α + β =
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