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writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6
Define a Hamilton path. Determine if the following graph has a Hamilton circuit. Ans: A path is known as a Hamiltonian path if it consists of every vertex of the graph e
Simple Random Sampling It refers to the sampling technique whether each and every item of the population is described an equal chance of being included in the sample. Because s
Properties 1. ∫ b a f ( x ) dx = -∫ b a f ( x ) dx . We can interchange the limits on any definite integral, all that we have to do is tack a minus sign onto the integral
A Stone is dropped from the top of the tower and travel 24.5 m in last second of its journey. the height of the tower is ...?
Homework is worth 10% of my grade, quizzes are worth 30%, and tests are worth 40%. I have 15 grades in the homework section, they''re all 100''s. I have 2 grades in the quiz sectio
Recall also which value of the derivative at a specific value of t provides the slope of the tangent line to the graph of the function at that time, t. Thus, if for some time t the
INTRODUCTION : All of us have encountered mathematics while growing up. Some of us have grown to like it, and therefore, enjoy. doing it. Some others have developed a lukewarm rel
Given two functions f(x) and g(x) which are differentiable on some interval I (1) If W (f,g) (x 0 ) ≠ 0 for some x 0 in I, so f(x) and g(x) are linearly independent on the int
David wants to rent a movie. He wants to watch either a comedy or a drama. The movie rental store has 18 comedies and dramas available for rent. Seven of the movies are comedies, a
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