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We know that the terms in an A.P. are given by a, a + d, a + 2d, a + 3d, ........ a + (n - 2)d, a + (n - 1)d The sum of all t
The value of y that minimizes the sum of the two distances from (3,5) to (1,y) and from (1,y) to (4,9) can be written as a/b where a and b are coprime positive integers. Find a+b.
Find out all the critical points for the function. Solution Following is the derivative for this function. Now, this looks unpleasant, though along with a little fa
Consider two bags, A and B, with the following contents a) A single marble is drawn from each bag. What is the probability of getting a white marble out of Bag A and a red marb
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".
To solve out linear equations we will make heavy use of the following facts. 1. If a = b then a + c = b + c for any c. All it is saying that we can add number, c, to both sides
Subtraction - Vector arithmetic Computationally, subtraction is very similar. Given the vectors a → = (a 1 , a 2 , a 3 ) and b → = (b 1 , b 2 , b 3 ) the difference of the t
X-intercept If an intercept crosses the x-axis we will call it as x-intercept . Y-intercept Similar, if an intercept crosses the y-axis we will call it as a y-inter
Example of Exponential Smoothing By using the previous example and smoothing constant 0.3 generate monthly forecasts Months Sales Forecast
Find the ratio in which the line segment joining A(6,5) and B(4,-3) is divided by the line y=2 (Ans:3:5) Ans : Let the ratio be k:1 x = 4 k + 6/ k +1 y
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