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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
y+7 3y-2 --- = 1 + ---- 3 5
if tan theta =1,find the value of sin4 theta + cos4 theta
Show that the radius of the circle,passing through the centre of the inscribed circle of a triangle and any two of the centres of the escribed circles,is equal to the diameter of t
Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution
Problem 1. Find the maximum and the minimum distance from the origin to the ellipse x 2 + xy + y 2 = 3. Hints: (i) Use x 2 + y 2 as your objective function; (ii) You c
Evaluate following limits. Solution Here the first two parts are actually just the basic limits including inverse tangents and can easily be found by verifying the fol
How to Solve Inequalities ? Now that you have learned so much about solving equations, you're ready to solve inequalities. You might think that since an equation looks like
* 2^(1/2)*4^(1/8)*8^(1/16)*16^(1/32) =
At times we consider only the magnitude of the number without attaching much importance to its direction. Under these circumstances the sign attached with the num
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