Hits: 512
Hits: 512 Question The function f is such that for , where and are positive constants. The maximum value of is 10 and the minimum value is −2. i. Find the values of and . ii. Solve the equation . iii. Sketch the graph of . Solution i. We have the function; We know that; For ; […]
Hits: 4011 Question The diagram shows the curve and the points P(0,1) and Q(1,2) on the curve. The shaded region is bounded by the curve, the y-axis and the line y = 2. i. Find the area of the shaded region. ii. Find the volume obtained when the shaded region is rotated through 360◦ about the x-axis. Tangents are drawn […]
Hits: 401 Question Prove the identity Solution We are given the equation; We can rewrite it as; We have the trigonometric identity; We can rewrite it as; Therefore;
Hits: 378 Question i. Show that the equation can be written in the form . ii. Hence solve the equation , for . Solution i. We are given the equation; We can rewrite it as; We have the trigonometric relation; Substituting in the above equation; We have the trigonometric identity; We can rewrite this as; Therefore; ii. To solve equation for […]
Hits: 449 Question In the triangle ABC, AB = 12 cm, angle BAC = 60o and angle ACB = 45o. Find the exact length of BC. Solution From the given data we can write the following; Expression for Law of Sines is; For the given case;