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The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+
Q. Show basic Trigonometric Functions? Ans. There are six trigonometric functions and they can be defined using a right angle triangle. We first label each side according
sin30
G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at
Fundamental Theorem of Calculus, Part II Assume f(x) is a continuous function on [a,b] and also assume that F(x) is any anti- derivative for f(x). Hence, a ∫ b f(x) dx =
AUXILIARY METHODS There are other reprographic methods which although commonly used earlier, are now mainly used for specific purposes. We think you should be aware of these me
1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
Both need to be a full page, detailed proof. Not just a few lines of proof. (1) “Every convergent sequence contains either an increasing, or a decreasing subsequence (or possibly
Limit Properties : The time has almost come for us to in fact compute some limits. Though, before we do that we will require some properties of limits which will make our lif
A group of 120 men had food for 200 days.After 5 days , 30 men die of disease.How long will the remaining food last
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