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Function of a Function
Suppose y is a function of z,
y = f(z)
and z is a function of x,
z = g(x)
Since, y depends on z, and z in turn depends on x, y is also a function of x.
Thus, y = f(z)
= f[g(x)]
The derivative of y with respect to x can be obtained as:
The above method is often used to get the derivative of some complicated functions.
Liner Regression The calculations for our sample size n = 10 are described below. The linear regression model is y = a + bx Table: Distance x miles
what is -(-8)-(-4)*6-(-12)/4=
Mathematical Statements Are Unambiguous : Consider any mathematical concept that you're familiar with, say, a sphere. The definition of a sphere is clear and precise. Given any o
Define the Column Matrix or column vector.
I need help with direct variation between x and y
Write a script to determine the volume of a pyramid, which is 1/3 * base * height, where the base is length * width. On time the user to enter values for the length, width, and th
Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi
Simplify following and write the answers with only positive exponents. (a) ( x 8.2 y -0.26 z 2 ) 0.5 (b) (x 3 y -4.1 / x -2.7 ) -3 Solution (a) (x 8.2
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At times we consider only the magnitude of the number without attaching much importance to its direction. Under these circumstances the sign attached with the num
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