Show Work Find the area of the shaded region. 4 OA. y=2 y=2 sin (1x) OB. 4+ 4+1 AY O C. 8 O D. 4 2- 2 -2
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.)
Find the area of the region that is bounded by r = sin 0 + cos 0, with 0 <OST. Find the area of the right half of the cardioid: r = 1 + 3 sin .
Find the area of the shaded region. 6- (0,4) y=4 - x2 LY X 2 (3,-5) O A. 3 ОВ. 5 3 O C. 5 OD 23 3
3. (10 pts) Find the area of the region bounded between y = xe-*?, , y = x + 1, x = 2 and the y-axis. Note that the graph of the region is provided below. You can leave your answer in terms of e. y=x+1 x2 X-0 0 0.5 1. 0 dy Use the Fundamental Theorem of Calculus to find dx for y = = L* sin (t2)dt.
1. Find the area of the region bounded by the parametric curve x = 2 sin? t and y= 2 sin? t tan t on the interval 0 <t< . Show your work. 2. Determine whether the following statement is true or false: Ify is a function oft and x is a function of t, then y is a function of x. If the statement is false, explain (in 2-4 complete sentences) why or give an example that shows it...
6.2.57 Find the area of the region described. The region bounded by y=(x-4)2 and y=4x - 19 The area of the region is (Type an integer or a simplified fraction.)
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.)
A region Q is bounded by y=x^3 , x=3 and y=-8. Find the area of region Q.
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