Hits: 128
Hits: 128 Question i. Prove that ii. Hence a. Solve for the equation b. find the exact value of . Solution i. We are given that; We utilize following relations; provided that provided that Therefore; We utilize following relation; Therefore; ii. We are required to solve; As […]
Hits: 109 Question The curve y = 4×2 ln x has one stationary point. i. Find the coordinates of this stationary point, giving your answers correct to 3 decimal places. ii. Determine whether this point is a maximum or a minimum point. Solution i. We are required to find […]
Hits: 169 Question A curve has equation x2+2y2+5x+6y =10. Find the equation of the tangent to the curve at the point (2,-1). Give your answer in the form ax+by+c=0, wher a,b and c are integers. Solution We are required to find equation of tangent to the curve at the point (2,-1). To find […]
Hits: 108 Question a. Find the value of b. Find Solution a. We are required to find the value of; Rule for integration of is: b. We are required to find; Rule for integration of is: Rule for integration of , or ; Rule for integration of is:
Hits: 142 Question The sequence defined by , Converges to the value . i. Find the value of correct to 3 decimal places. Show your working, giving each calculated value of the sequence to 5 decimal places. ii. Find, in the form , an equation of which is a root. Solution […]
Hits: 136 Question The diagram shows the curve . Region A is bounded by the curve and the lines x = 0, x = 2 and y = 0. Region B is bounded by the curve and the lines x = 0 and y = 3. i. Use the trapezium rule with two […]
Hits: 122 Question The cubic polynomial is defined by where and are constants. It is given that is a factor of and that, when is divided by , the remainder is 24. i. Find the values of and . ii. When and have these values, factorise p(x) completely. Solution […]
Hits: 122 Question Use logarithms to solve the equation 3x = 2x+2, giving your answer correct to 3 significant figures. Solution We are given; Taking natural logarithm of both sides; Power Rule;