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Some important issue of graph
Before moving on to the next example, there are some important things to note.
Firstly, in almost all problems a graph is pretty much needed. Often the bounding region, that will give the limits of integration, is hard to determine without a graph.
Also, it can frequently be hard to determine which of the functions the upper function is and that is the lower function without any graph.
At last, If we obtain a negative number or zero we can be sure that we've committed a mistake somewhere and will have to go back and determine it.
Note that sometimes rather than saying region enclosed by we will say region bounded by. They mean the simialr thing.
sin(2x+x)=sin2x.cosx+cos2x.sinx =2sinxcosx.cosx+(-2sin^2x)sinx =2sinxcos^2+sinx-2sin^3x =sinx(2cos^2x+1)-2sin^3x =sinx(2-2sin^2x+1)-2sin^3
Calculate the area and perimeter of a square: Calculate the area and perimeter of a square with w = 5´ and l = 6´. Be sure to involved units in your answer. Solution:
using a pair of compasses a ruler and a pencil. construct a triangle CDE in which DE=10cm, DC+8cm and CDE= 45 degrees. construct CF perpendicular to DE such that F lies on DE using
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State DeMorgan's law. Prove it using the truth table. Ans: DeMorgan's law defines that (i) (x ∨ y)' = x' ∧ y' (ii) (x ∧ y)' = x' ∨ y' Now let us dr
A number of the form x + iy, where x and y are real and natural numbers and is called as a complex number. It is normally given by z. i.e. z = x + iy, x is called as the real part
draw a right angle isosceles triangle with 9 triangles in it
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