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sin3θ = cos2θ find the most general values of θ satisfying the equatios?sinax + cosbx = 0 solve ?Solution) sin (3x)= sin(2x + x)= sin(2x)cos(x) + cos(2x)sin(x)= 2sin(x)cos(x)cos(x) + (1 - 2sin² (x) ) sin(x)= 2sin(x)cos² (x) + sin(x) - 2sin³ (x)= 2sin(x) ( 1 -sin² (x) ) + sin(x) - 2sin³ (x)= 2sin(x) -2sin³ (x) + sin(x) - 2sin³ (x)= -4sin³ (x) + 3sin(x)= 3sin(x) - 4sin³ (x)
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by purchasing rs.10 shares for rs.40 each mala gets 5% income on her investment. what rate of dividend is the company paying? what will be the amount of dividend if she buys 120 sh
Find the Laplace transforms of the specified functions. (a) f(t) = 6e 5t + e t3 - 9 (b) g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) (c) h(t) = 3sinh(2t) + 3sin(2t)
Evaluate following limits. Solution Therefore we will taking a look at a couple of one-sided limits in addition to the normal limit here. In all three cases notice
Juan is g years old and Eva is 2 years younger than Juan. a.Find the sum of their ages in terms of g. b.Find the sum of their ages in g years'' time,in terms of g.
introduction to decimals
SUMMATION NOTATION Under this section we require to do a brief review of summation notation or sigma notation. We will start out with two integers, n and m, along with n a
Maclaurin Series Before working any illustrations of Taylor Series the first requirement is to address the assumption that a Taylor Series will in fact exist for a specifi
1) Let the Sample Space S = {1, 2, 3, 4, 5, 6, 7, 8}. Suppose each outcome is equally likely. Compute the probability of event E = "an even number is selected". P(E) = 2) A s
Equal groupings - when we want to find how many objects there are in several equal-sized sets. (e.g., if there are 3 baskets, each with 4 bananas, 4 oranges and 4 apples, respec
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