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First, look at the key information from the question and form an equation for each of the first two sentences. These equations are as follows (let a represent the number of apples and b represent the numb...

You cannot work with this equation in the current form so you must use identities to find an equivalent form that you can work with. It is known that tan(2A) = 2tan(A) / 1-tan²(A) so set this e...

We must first use the identity cosecθ = 1/sinθ. Now the equation becomes (1/sinθ)(3 cos 2θ+7)+11=0. Since we know that the question is asking for the answer in the form of asin²θ + bsinθ + c = ...

So let's start with taking the natural log on both sides of y=a^x, giving us ln(y) = ln(a^x). Using the laws of logarithms we can write this as ln(y) = xln(a).Next, we differentiate bo...

1. Stationary points occur when dy/dx=0, therefore determine dy/dx first:
   dy/dx= 2x² + 4x - 6
   2) solve dy/dx=0 for two values of x (using quadratic formula, if necessary):
   (x+...