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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.
Interpretations of derivatives. Example: Find out the equation of the tangent line to x 2 + y 2 =9 at the point (2, √5 ) .
x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by the lines and curves.
Fermat's Theorem If f(x) has a relative extrema at x = c and f′(c) exists then x = c is a critical point of f(x). Actually, this will be a critical point that f′(c) =0.
a drawn picture on a graph that includes equations of each line
We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some f
INTRODUCTION : Do you remember your school-going days, particularly your mathematics classes? What was it about those classes that made you like, or dislike, mathematics? In this
Vector Form of the Equation of a Line We have, → r = → r 0 + t → v = (x 0 ,y 0 ,z 0 ) + t (a, b, c) This is known as the vector form of the equation of a line. The lo
what is the meaning of statistics
how to improve managerial skills in hotel?
rajan bought an armchair for rs.2200 and sold it for rs.2420.find his profit per cent.
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