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5.6 x10^5

12 = 43Therefore sqrt(12) = sqrt(43) The square root of the product of two numbers can the written as the product of the square roots of the numbersHence sqrt(4*3) = sqrt(4) * sqrt(3) sqrt(4) = 2...

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