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Equations of Lines
In this part we need to take a view at the equation of a line in R3. As we saw in the earlier section the equation y = mx+b does not explain a line in R3, in place of it describes a plane. Though, this doesn't mean that we can't write down an equation for a line in 3-D space. We're just going to require a new way of writing down the equation of a curve.
Thus, before we get into the equations of lines we first require to briefly looking at vector functions. We are going to take a much more in depth look at vector functions later. At the moment all that we need to worry about is notational issues and how they can be employed to give the equation of a curve.
Here we look at only the rules without going into their proofs. They are: a 0. If a If a If a
writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6
What is 123x456x789
you have RM5O,OOO to invest,and two fund that you''d like to invest in.The You-Risk-It Fund yields 14% interest.The Extra-Dull Fund yields 6% interest.Besause of college financial-
1. Let S be the set of all nonzero real numbers. That is, S = R - {0}. Consider the relation R on S given by xRy iff xy > 0. (a) Prove that R is an equivalence relation on S, an
a mixture of 40 liters of milk and water contains 10% water.how much water should be added to this so that water my be 20% in the new mixture
add 1 and 20 over 40 with 2 and 30 over 50
1000 time 1000000
Calculate the value of the following limits. Solution To remind us what this function such as following the graph. hence, we can see that if we reside to the r
Show that the radius of the circle,passing through the centre of the inscribed circle of a triangle and any two of the centres of the escribed circles,is equal to the diameter of t
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