Hits: 80
Hits: 80 Question i. Express in the form , where and , giving the value of correct to 2 decimal places. ii. Hence solve the equation for . iii. Find the greatest possible value of as varies, and determine the smallest positive value of for which this greatest value occurs. Solution i. […]
Hits: 63 Question The polynomial is defined by The diagram shows the curve which crosses the x-axis at and . i. Divide by a suitable linear factor and hence show that is a root of the equation ii. Use the iterative formula to find correct to 2 decimal places. Give the result of […]
Hits: 85 Question The diagram shows part of the curve and its maximum point M. The shaded region is bounded by the curve, the axes and the line through M parallel to the y-axis. i. Find the exact value of the x-coordinate of M. ii. Find the exact value of the […]
Hits: 119 Question A curve has equation Find the equation of the normal to the curve at the point (1, 2). Give your answer in the form ax + by + c = 0, where a, b and c are integers. Solution We are given equation of the curve as; We are required to find […]
Hits: 75 Question i. Find where a is a positive constant. ii. Deduce the value of Solution i. We are given that; Rule for integration of is: Rule for integration of , or ; ii. We are required to deduce the value of. From (i) we have demonstrated; Therefore replacing […]
Hits: 252 Question a. Find the value of x satisfying the equation 2 ln (x – 4) − ln x = ln 2. b. Use logarithms to find the smallest integer satisfying the inequality 1.4y > 1010 Solution a. We are given; Power Rule; Division Rule; Taking anti-logarithm of both sides; for any […]
Hits: 81 Question Solve the equation. Solution SOLVING EQUATION: PIECEWISE 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; Hence, the only solution for the given equation is; SOLVING […]