Edexcel C4 June 2011 exam answers review
9x²/(x – 1)²(2x + 1) = A/(x – 1) + B/(x – 1)² + C/(2x + 1) Find the values of the constants A, B and C. (4) ANSWER f(x) = 1/√(9 + 4x²)...
9x²/(x – 1)²(2x + 1) = A/(x – 1) + B/(x – 1)² + C/(2x + 1) Find the values of the constants A, B and C. (4) ANSWER f(x) = 1/√(9 + 4x²)...
Use integration to find the exact value of \(\int_{\frac{\pi}{2}}{0} \)xsin2x dx (6) ANSWER The current, I amps, in an electric circuit at time t seconds is given by I = 16 – 16(0.5)t, t≥0...
The curve C has the equation 2x + 3y2 + 3×2 y = 4×2. The point P on the curve has coordinates (–1, 1). Find the gradient of the curve at P.(5) Hence find...
Find \( \int x^2e^x dx \)(5) Hence find the exact value of \( \int_{0}^{2} x^2e^x dx \)(2) ANSWER Use the binomial expansion to show that √(1 + x/1 – x) ≈ 1 + x...
In this series of articles we shall explore partial fractions. First we shall look at the basics of adding and subtracting algebraic fractions, then explore fractions with two linear fractions, partial fractions with three...
In this section we shall explore proving and solving identities. The identities explored here will include; secant θ, cosecant θ, cotangent θ and tangent θ. For whatever purpose or applications you should be able...