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Formulas needed: Perimeter of rectangle = 2*(base + height) Area of rectangle = base * height. Using the information given we need to define the perimeter of A and B algebraically. Rectangle A: base = 2x...

Use the chain rule to do this. First set u= x^2 + 1. We chose u to be this because u^1/3 is much simpler to differentiate. Then find du/dx = 2x. Now find dy/du = 1/3 * u^-2/3 = 1/3 * (...

When working with circles we use which is a number that stays the same no matter how big the circle. The number starts with 3.1415.... and goes on forever, this number is programmed into the calculator, ...

When you see the question asking you to find the gradient at a point in the curve, the first thing you have to do is differentiate. This is because when we differentiate,...

At t=0, you deposit 500 pounds in the bank account: V(0)=500=A. At t=5, that amount of money is now, V(5)=800=500*(1+r)^5 i.e. 1+r = 1.6^(1/5) = 1.0986 (4dp) So the interest rate r is 9.86% (3 s.f.)Let T ...