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Hits: 146 Question The diagram shows the curve with equation for . At the points P and Q on the curve, the gradient of the curve is 3. i. Find an expression for . ii. By first expressing in the form , where R > 0 and , find the […]
Hits: 125 Question The diagram shows the curve for . The region R is bounded by the curve, the axes and the line . i. Use the trapezium rule with two intervals to find an approximation to the area of R, giving your answer correct to 3 significant figures. ii. The […]
Hits: 107 Question A curve has parametric equations i. Find the equation of the tangent to the curve at the origin. ii. Find the coordinates of the stationary point, giving each coordinate correct to 2 decimal places. Solution i. We are required to find the equation of tangent to the curve at […]
Hits: 67 Question The diagram shows the curve with equation . The curve crosses the x-axis at points with coordinates and . i. Use the factor theorem to show that (x +2) is a factor of ii. Show that satisfies an equation of the form , and state the values of p and […]
Hits: 73 Question Solve the equation for . Solution We are given; provided that provided that We have the trigonometric identity; Let , then; For a quadratic equation , the expression for solution is; Where is called discriminant. If , the equation will have two distinct roots. If , the equation will […]
Hits: 32 Question Show that Solution We are required to show; Rule for integration of is: Division Rule; Power Rule;
Hits: 69 Question i. Solve the equation . ii. Hence, using logarithms, solve the equation , giving the answer correct to 3 significant figures. Solution i. SOLVING INEQUALITY: PIECEWISE Let, . We have to consider both moduli separately and it leads to following cases; OR We have the equation; We have to […]