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To find inverse functions we swap the variables of the function we are taking the inverse of. let y=1+2sin(3x)so now, x=1+2sin(3y)Aiming to make y the subject, x-1= 2sin(3y)Therefore, (x-1)/2=sin(3y), ...
The speaker, presumably Stevenson herself, suggests the importance of nature as a place of home. In the second stanza, the speaker describes the Wrekin as the “homely shape” of a “shell”, suggesting a pro...
Start with the definition of empirical formula so we know what we are trying to work out. Empirical formula is the simplest whole-number ratio of elements in a compound. First, l...
By product rule:u = 4sin(x) v = cos(3x)du/dx = 4cos(x) dv/dx = -3sin(3x)dy/dx = u (dv/dx) + v (du/dx)dy/dx = 4sin(x) * -3sin(3x) + cos(3x) * 4cos(x)dy/dx = -12sin(x)sin(3x) + 4cos(x)cos(3x)Evaluate at x =...
We can explain this by taking a simple power equation such as 23 = 8 and setting each number as an unknown variable. For instance 23 = x is solved by cubing 2, x3 = 8 is s...
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