W AutoSave Off H 2 MAT 291 (Test 4)(04 NOVEMBER 2010) - Compatibility Mode • Saved Search File Home Insert Draw Design Layout References Mailings Review View Help Question 1 Determine the following integrals (a) x-3 -dx -6x+2 (b) x tan xưa Question 2 dx (c) 5+4cos x (10) (10) 999 (10) Establish a reduction formula for In = cos" xdx in the form In 1 =-cos n n- n-1 x. sin x+ -112 n-2 n (20) and hence determine I₁ = √ cos xdx Question 3(a) A curve has parametric equations x = 3 f²₁y = 6 t. Find the area bounded by the curve, the x-axis and the ordinates t = 1 and t = 2. (10) Question 3(b) Find the length of the curve x 2/3 + y²/3 = 4 between x = 0 and x = 8. (20) Question 3(c) Find the surface area generated when the arc of the curve x=3 t-³, y = 3² between t = 0 and t = 1, rotates about OX through 2π radians. Page 1 of 1 174 words English (United States) Text Predictions: On Accessibility: Unavailable Comments CK Editing Share (20) Focus + 100%