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Solve x³ + 2x² + x = 0Factorise to get:x(x² + 2x + 1) = 0x = 0 or x² + 2x + 1 = 0Factorise x² + 2x + 1 to get:(x + 1)(x + 1) = 0Solve for x: x = -1, ...

Equation 1: 2x² - y = 3 and Equation 2: 7x + y = 1. Rearrange equation 1 to make y the subject: 2x² - y = 3, 2x² - 3 = y. Substitute equation 1 into equation 2 to get equa...

Integration by parts:
u = x u' = 1v' = Cos3x v = (Sin3x)/3 + c
So, ∫xCos3x= (XSin3x)/3 - ∫(Sin3x)/3 dx= (XSin3x)/3 - 1/3( - (Cos3x)/3) + c = (XSin3x)/3 + (Cos3x)/9 + c

First, draw a diagram of the information given, making sure to label any capacities and dimensions. Now read the question again and find what it’s asking for, which is how many full cylindrical cups can f...

The area of a circle is given by the equation: A = pir² where r is the radiusThis means the area of the quarter circle is just 1/4^th the area of the total circle.Therefore the a...