Search over 10,000 free study notes

First of all key elements required for this question is the knowledge or retrival of these equations: tan 2 + 1 =sec 2 A tan(A-B) = (tanA-tanB)/(1+tanAtanB) so for the first equation sec 2 A - tanA =13 we su...

To answer this we will need to use the product rule which is as follows: For y=uv , dy/dx=u'v+uv' where u' is the derivative of u and v' is the derivative of v. In this case, u= (4x+1)^3 and v= sin2x . u'= 3...

If f(x) = 4x - m, and g(x) = mx +11, then the combined functions are: fg(x) = 4(mx +11) -m, or expanded to fg(x) = 4mx + 44 - m. We are told that this function of 'f' and 'g' can also be written as fg(x) = 8...

Use a double-bracket expansion method such as FOIL (first, outer, inner, last). If you don't know FOIL or how to expand double brackets, don't worry, I will explain it to you in the session. 6x 2 - 3x + 4x -...

Integrate by parts. First rewrite the integral in the form u dv/dx, which is (1)ln(x). Then integrate (1)ln(x) wrt dx by assigning u=ln(x) du/dx=1/x and dv/dx=1 v=x. We can determine the integral of ln(x), u...