Hits: 67
Hits: 67 Question The diagram shows the curve with parametric equations for . The end-points of the curve are (1, 4) and (3, 3). i. Show that . ii. Find the coordinates of the minimum point, giving each coordinate correct to 3 significant figures. iii. Find the exact gradient of the normal to […]
Hits: 40 Question a) Find b) i. Find ii. Hence find giving your answer in the form . Solution a) We are required to find; Rule for integration of is: First we integrate . From we can obtain; Rule for integration of is: Rule for integration of is: Rule for integration of is: […]
Hits: 35 Question i. Use the factor theorem to show that (x+2) is a factor of the expression and hence factorise the expression completely. ii. Deduce the roots of the equation Solution i. We are given that; We are also given that is a factor of . When a polynomial, , […]
Hits: 63 Question The variables x and y satisfy the equation , where K and a are constants. The graph of ln y against x is a straight line passing through the points (0.6, 1.81) and (1.4, 1.39), as shown in the diagram. Find the values of K and a, correct to 2 significant figures. […]
Hits: 33 Question Find the equation of the tangent to the curve at the point on the curve for which x = 0. Give your answer in the form ax+by +c = 0 where a, b and c are integers. Solution We are given that curve with equation and we are required to find the […]
Hits: 34 Question i. By sketching a suitable pair of graphs, show that the equation has exactly one real root. ii. Use the iterative formula to find the root correct to 4 significant figures. Give the result of each iteration to 6 significant figures. Solution i. We are required to […]
Hits: 68 Question Solve the equation , giving x in terms of the positive constant a. Solution Let, . We have to consider both moduli separately and it leads to following cases; OR We have the equation; We have to consider both moduli separately and it leads to following cases;
Hits: 100 Question Use logarithms to solve the equation 3x+4 = 52x giving your answer correct to 3 significant figures. Solution We are given; Taking natural logarithm of both sides; Power Rule;