Hits: 195
Hits: 195 Question a. Find . b. Express in terms of and hence find . Solution a. We are required to find; Rule for integration of , or ; b. We know that , therefore; Hence; Therefore; Rule for integration of is: Rule for integration of is: Rule for integration of is:
Hits: 194 Question The diagram shows the curve , for . The point lies on the curve. i. Show that the normal to the curve at Q passes through the point . ii. Find . iii. Hence evaluate Solution i. If a point P(x,y) lies on a […]
Hits: 141 Question The diagram shows the curve , for . The point lies on the curve. i. Show that the normal to the curve at Q passes through the point . ii. Find . iii. Hence evaluate Solution i. If a point P(x,y) lies on […]
Hits: 83 Question a. Show that b. By using an appropriate trigonometrical identity, find the exact value of Solution a. We are required to show that; Rule for integration of is: b. We are required to find exact value of; We know that , therefore; Hence; Rule for integration of is: Rule […]
Hits: 143 Question a. Show that b. By using an appropriate trigonometrical identity, find the exact value of Solution a. We are required to show that; Rule for integration of is: b. We are required to find exact value of; We know that , therefore; Hence; Rule for integration of […]
Hits: 201 Question i. By differentiating , show that if y = cot x then ii. By expressing in terms of and using the result of part (i), show that iii. Express cos 2x in terms of sin2 x and hence show that can be expressed as . Hence […]