4 sin(6x) cos(6x) is already a function of a single variable. The variable is ' x '.
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An equation to find the value of the variable 104, 137, 154 and x with a mean of 130 is: (104 + 137 + 154 + x)/4 = 130 395 + x = 130 * 4 x = 145.
Write each equations in popular form. ... Make the coefficients of one variable opposites. ... Add the equations ensuing from Step two to remove one variable. Solve for the last variable. Substitute the answer from Step four into one of the unique equations.
mean(5.2 + 8.3 + 8.5 + 7.7 + 7.8 + y) = 7.1=> y = 5.1
Suppose a function f(.) is defined in the following way: f(1) = 3 f(2) = 10 f(3) = 1 We could write this function as the set { (1,3), (2, 10), (3,1) }. The inverse of f(.), let me call it g(.) can be given by: g(3) = 1 g(10) = 2 g(1) = 3
First, this function is strictly increasing on the entire real line, so an inverse exist on the entire real line. We define inverse of function f, denoted f^-1 such that if y = f(x) then f^-1(y) = x Or to find the inverse, all is needed is to isolate x in terms of y. In this case, y = 7x + 2 7x = y - 2 x = (y - 2)/7 So the inverse is x = (y - 2)/7 What? You don't like function in terms of y? Well, they are just meaningless variables anyway, you can write whatever, in particular the inverse is y = (x - 2) / 7 (the x, y here are independent with the x, y above. If you are getting confused, write b = (a - 2)/7 where b is a function of a)