(i) Find the area of the region bounded by the curves x = y 5y+6 and x =-y +y+6 Q.2 A. (1) Find the area of the region bounded by the curves x = y2 - 5y +6 and x=-y+y+6 (2 Marks) In(tan x) (ii) Evaluate lim (3 Marks) sinx-cosx B. (1) Evaluate |fxsin(xy dydx (3 Marks) X- (1) Evaluate lim * (11) Evaluate tan lim- (2 Marks) 2 Marks) - tan
r+9 tan θ Find the area of the shaded region in the accompanying 2 figure. Is the graph of r = 9 tan 0,-2 <0 < 7: asymptotic to the lines x = 9 and x =-9? 9x/4) -(912 /2) csc θ ol The area of the shaded region is (Type an exact answer, using π as needed.) is the graph of r = 9 tan 0,-2 < 0 <乏, asymptotic to the lines x-9 and x =-9? ○No O...
Find the area of the region described. The region in the first quadrant bounded by y = 1 and y=sin x on the interval The area of the region is (Type an exact answer, using a as needed.)
6. Find the area that is bounded by y = x and y = x+ when f(x, y) = x + 2y (14 pts)
Find the area of the region described. The region bounded by y=8,192 VX and y=128x2 The area of the region is (Type an exact answer.)
Find the area of the region bounded by the graph of f(x) = sin x and the x-axis on the interval [-21/3, 31/4]. The area is (Type an exact answer, using radicals as needed.)
4. Find the exact area of the closed region bounded by y=25 - x² and y=o between x = -6 and x= 1 5. The cost for x items. is c(x) = 5x² - 99 dollars, and the revenue for x items is R(x) = 8x² + 4x dollars. Find the rate at which the average profit is changing when 600 items are produced and sold.
Find the area of the surface x2 - 6y – 2z = 0 that lies above the triangle bounded by the lines x= 3, y=0, and y= 3x. The surface area is (Type an exact answer, using radicals as needed.)
I need help with Problem 6. Thanks! 2. Calculate: 5221ddx 3. Find the area bounded by the graphs of y = Cot(2x), y = 0,x = 5, and x = 37. Provide the exact and simplified answer. 4. Evaluate: Sov-*+2,2 dx 5. Determine whether the series 2n=25047" is convergent or divergent. If convergent, find the exact sum. 6. Determine whether the series 2n=22941 is convergent or divergent. If convergent, find the exact sum. 7. Find the interval of convergence of...
cc 5,16 55 55 f the surface generated by revolving x 44-y,0 s ysabout the y-axis. Find the area 16 . x=44-y The area is (Simplify your answer. Type an exact answer, using Tt as needed.) cc 5,16 55 55 f the surface generated by revolving x 44-y,0 s ysabout the y-axis. Find the area 16 . x=44-y The area is (Simplify your answer. Type an exact answer, using Tt as needed.)