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We need to get the quadratic expression into the form (x + a)(x + b). If we expand this expression using FOIL, we see that the resulting expression is x 2 + (a+b)x + ab. We can now find a and b by comparing ...

Increase the powers of all variables by one and then divide them by this number. For example, given 3x^3 + 5x^-0.5 - 8 , this would give 3/4x^4 + 10x^0.5 - 8x

The power of a number indicates how many times that number must be multiplied by itself. If the power is a negative, this means that the number (or the base) is a fraction, with the base as a denominator. Fo...

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...