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Method In this method we eliminate either x or y, get the value of other variable and then substitute that value in either of the original equations to
Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +
Differentiate following functions. Solution At this point there in fact isn't a lot of cause to use the product rule. We will utilize the product rule. As we add
Determine the inverse transform of each of the subsequent. (a) F(s) = (6/s) - (1/(s - 8)) + (4 /(s -3)) (b) H(s) = (19/(s+2)) - (1/(3s - 5)) + (7/s 2 ) (c) F(s) =
Determine the inverse of the following matrix, if it exists. We first form the new matrix through tacking onto the 3 x 3 identity matrix to this matrix. It is, We
If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =
15 is 30% of what number?
Find out the linear approximation for at x =8 . Utilizes the linear approximation to approximate the value of and Solution Since it is just the tangent line there
Q. Describe Real numbers? Ans. There are a few different ways to describe real numbers. Without going into any of the very technical definitions used by mathematicians, I'
Two circles touch internally at a point P and from a point T on the common tangent at P, tangent segments TQ and TR are drawn to the two circles. Prove that TQ = TR. Given:
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