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Firstly, we will find the volume of the cylinder using the formula V_cylinder =π r²h . Inputting the numbers given in the question gives V_cylinder = 36π.Given that V_cylinder = V_cone, and usi...

Write down y = 1/x³ This can be rewritten as y = 1x^-3 or just y = x^-3 as if the x is on the bottom of the fraction, it can be rewritten with a negative version of the powe...

For a proof like this, I like to start with the more difficult-looking side, and aim to end up with the expression on the other side. Starting with the left hand side, the first thing to change is the sin...

First of all, we bring the 7 to the left side of the equation to get: e^x-7+10e^-x=0. Then, by multiplying both sides of the equation by e^x, we can get an equation in the fo...

To determine the answer the gradient of both lines must be found. To find the gradient of line l1 the equation can be rewritten in the form y = mx + c. 4y - 3x = 10 so y = 3/4 x + 5/2. From this equation ...