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Example of Graphing Equations:
Example:
By using the above figure, find out the distance traveled if the average speed is 20 mph and the time traveled is 40 minutes.
The line labeled A in Figure connects 20 mph and 40 minutes. It passes through 14.5 miles.
Therefore, the distance traveled is 14.5 miles.
By using the above figure, find out the time required to travel 31 miles at an average speed of 25 mph.
The line labeled B in Figure connects 31 miles and 25 mph. It passes through 70 minutes.
Therefore, the time required is 70 minutes.
Figure shows noise results for a prototype van measured on a rolling road. The vehicle had a four-cylinder-in-line engine. The engine speed was varied in 3rd gear from just above
In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s:
example
Linear Approximations In this section we will look at an application not of derivatives but of the tangent line to a function. Certainly, to get the tangent line we do have to
Find the series solution of2x2y”+xy’+(x2-3)Y=0 about regular singular point
Theorem Consider the subsequent IVP. y′ = p (t ) y = g (t ) y (t 0 )= y 0 If p(t) and g(t) are continuous functions upon an open interval a o , after that there i
First, larger the number (ignoring any minus signs) the steeper the line. Thus, we can use the slope to tell us something regarding just how steep a line is. Next, if the slope
Formulas for the volume of this solid V = ∫ b a A ( x) dx V = ∫ d c A ( y ) dy where, A ( x ) & A ( y ) is the cross-sectional area of the solid. There are seve
assignment for appications of derivatives
Determine the eigenvalues and eigenvectors of the subsequent matrix. Solution : The first thing that we require to do is determine the eigen-values. It means we require
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