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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.
The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar
Example Show that p ( x ) = 2 x 3 - 5x 2 -10 x + 5 has a root somewhere in the interval [-1,2]. Solution What we're actually asking here is whether or not the function wi
3 2/3 - 1/6
Consider the following interpolation problem: Find a quadratic polynomial p(x) such that p(x0) = y0 p’(x1) = y’1 , p(x2) = y2 where x0 is different from x2 and y0, y’1 , y2 a
solve and graph the solution set 7x-4 > 5x + 0
Derivatives of Exponential and Logarithm Functions : The next set of functions which we desire to take a look at are exponential & logarithm functions. The most common exponentia
Consider the following linear programming problem: Min (12x 1 +18x 2 ) X 1 + 2x 2 ≤ 40 X 1 ≤ 50 X 1 + X 2 = 40 X
4*4=?
46+4=
Definition of Natural exponential function: The natural exponential function is f( x ) = e x where, e= 2.71828182845905........ . Hence, since e > 1 we also know that e x
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