Hits: 80
Hits: 80 Question The diagram shows the curve with parametric equations for . The minimum point is M and the curve crosses the x-axis at points P and Q. i. Show that . ii. Find the coordinates of M. iii. Find the gradient of the curve at P and at Q. Solution […]
Hits: 46 Question a) Find b) Without using a calculator, find the exact value of giving your answer in the form . c) The diagram shows the curve for 0 ≤ x ≤ 6. The region bounded by the curve and the lines x = 0, x = 6 and y = 0 […]
Hits: 30 Question The equation of a curve is . At the point on the curve with x-coordinate p, the gradient of the curve is . i. Show that . ii. Show by calculation that 3.3 < p < 3.5. iii. Use an iterative formula based on the equation in […]
Hits: 30 Question Show that i. Hence a) find the exact value of , b) Solve the equation , for . Solution i. We are given that; We know that; Therefore; ii. a) We are required to find the exact value of From (i) we have found that; Therefore; b) […]
Hits: 39 Question i. Solve the equation . ii. Hence solve the equation for , giving your answer correct to 3 significant figures. Solution i. SOLVING EQUALITY: PIECEWISE Let, . We have to consider both moduli separately and it leads to following cases; OR We have the equation; We have to consider […]
Hits: 75 Question Given that 53x = 74y, use logarithms to find the value of correct to 4 significant figures. Solution We are given; Taking natural logarithm of both sides; Power Rule; Answer correct to 4 significant figures is;