Find the area bounded by y = 9 tan (x), x =, and y =0. 6 . (Type an exact answer.) The area is
(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
13)
Determine the area of the region bounded by y = e1+2y, x = e1−y, y
= −2 and y = 1.
13) Determine the area of the region bounded by y= el+2y, x = el-y, y=-2 and y = 1.
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 area of the curve
Find area of the curve for regions bounded by... y=x² Inx Люд. у.н 4.1.Х..
3.Find the area of the region bounded by the parametric curve and the x-axis. (10 pts) = 6 (0- sin 0) y=6(1 - cos 0) 0<02T Find the slope of the tangent line at the given point. (10 pts) 4. r 2+sin 30, 0=T/4
Determine the area of the region bounded by y=el+2y, x = el-y, y= –2 and y=1.
Find the area of the region bounded between the curves y = x and y = 2 – x2 by: a. Integrating with respect to x Integrating with respect to y
2. Find the area of the region bounded by x = y², y = {cx + į and the c-axis.
[4] Sketch the region bounded above the curve of y = x2 - 6, below y = x, and above y = -x. Then express the region's area as on iterated double integral ans evaluate the integral. -4 -3 -2 -1 0 1 2 3 4 [5] Find the area of the region bounded by the given curves x - 2y + 7 = 0 and y2 -6y - x = 0.