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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.
how to find the minimum distance between any two particles which are in relative motion?
In this case we are going to consider differential equations in the form, y ′ + p ( x ) y = q ( x ) y n Here p(x) and q(x) are continuous functions in the
The adjoining figure shows the cross-section of a railway tunnel. The radius of the tunnel is 3.5m (i.e., OA=3.5m) and ∠AOB=90 o . Calculate : i. the height of the
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Initial Conditions and Boundary Conditions In many problems on integration, an initial condition (y = y 0 when x = 0) or a boundary condition (y = y
When finding the limit as x approaches 0 the for function (square root of x^3 + x^2) cos(pi/2x) would the limit not exist because there would be a zero in the denominator?
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)
two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent
INTRODUCTION : When a child of seven isn't able to solve the sum 23+9, what could the reasons be? When she is asked to subtract 9 from 16, why does she write 9 - 16 = 13 ?
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