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In class 1, the teacher had written down the digits 0,1, ...., 9 on the board. Then she made all the children recite the corresponding number names. Finally, she made them write th
Example of Decimal to Fraction Conversion: Example: Convert 18.82 to a mixed number. Solution: Step 1: 18.82 is 18 and 82 hundredths. 18.82 = 18(8
why it is hard?
Determine the Projection of b = (2, 1, -1) onto a = (1, 0, -2) There is a requirement of a dot product and the magnitude of a. a → • b → = 4 ||a
Describe the Properties of Inequalities ? Postulate In comparing two quantities, say a and b, there are exactly three possibilities. (1) a is less than b. (a b)
Consider the equation x 2 y′′+ xy′- y = 4x ln x (a) Verify that x is a solution to the homogeneous equation. (b) Use the method of reduction of order to derive the second
Find the value of x if 2x + 1, x 2 + x +1, 3 x 2 - 3 x +3 are consecutive terms of an AP. Ans: a 2 -a 1 = a 3 -a 2 ⇒ x 2 + x + 1-2 x - 1 = 3x 2 - 3x + 3- x
Three Dimensional Spaces In this section we will start taking a much more detailed look at 3-D space or R 3 ). This is a major topic for mathematics as a good portion of Calc
A jet flew at an average speed of 480mph from Point X to Point Y. Because of head winds, the jet averaged only 440mph on the return trip, and the return trip took 25 minutes longer
Integrals Involving Roots - Integration Techniques In this part we're going to look at an integration method that can be helpful for some integrals with roots in them. We hav
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