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The subsequent type of first order differential equations which we'll be searching is correct differential equations. Before we find in the full details behind solving precise diff
Equations of Lines In this part we need to take a view at the equation of a line in R 3 . As we saw in the earlier section the equation y = mx+b does not explain a line in R
Example : Determine the equation of the line which passes through the point (8, 2) and is, parallel to the line given by 10 y+ 3x = -2 Solution In both of parts we are goi
from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let
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 ...?
Find out the domain of each of the following. (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know
Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-
1 . The probability that a couple will have a child with black hair is 0.6. If this couple has 7 children what is (a) the probability that exactly 3 of these children have bl
Recognizes the absolute extrema & relative extrema for the following function. f ( x ) = x 2 on [-1, 2] Solution: As this function is simpl
INTRODUCTION : Most of us, when planning the first mathematical experience for three-year olds, think in terms of helping them memorise numbers from 1 to 20. We also teach them to
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