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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 functions, it is possible to express x in terms of y so that, given the value of y, the value of x can be uniquely determined. The function that expresses the variable x in terms of the variable y is called the inverse function and is denoted by x = f-1 (y).
Example
y = f(x) = 5x + 3
Solving x in terms of y,
x
The interval of validity for an IVP along with initial conditions: y(t 0 ) = y 0 or/and y (k) (t 0 ) = y k There is the largest possible interval on that the solution is va
y=x4/4lnx-x4/16 then dy/dx=? Solution) dy/dx=-x^3/4(2/lnx-1)^2. ^ means power
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Exponential and Geometric Model Exponential model y = ab x Take log of both sides log y = log a + log b x log y = log a + xlog b Assume log y = Y and log a
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To find out the volume of a cube which measures 3 cm by 3 cm by 3 cm, what formula would you use? The volume of a cube is the length of the side cubed and the length of the sid
w/ You could use this sample code to test your C functions // Please make appropriate changes to use this for C++. // Following main function contains 3 representative test cases
Finding the number of Permutations of 'n' dissimilar things taken 'r' at a time: After looking at the definition of permutations, we look at how to evolve a
The radius of the in circle of a triangle is 4cm and the segments into which one side is divided by the point of contact are 6cm and 8cm. Determine the other two sides of the tria
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