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(3) Find the area bounded by the curve x(t) = 3t-t2, y(t) = 3.li and the...
t2-2t, y =vt and the y-axis. Find the area enclosed by the curve x t2-2t, y =vt and the y-axis. Find the area enclosed by the curve x
3. Graph the region bounded by the parametric curve x cost and y = et where 0 t Find the length of the curve. b. Find the surface area of revolution when the region is revolved around the y -axis. a. 3. Graph the region bounded by the parametric curve x cost and y = et where 0 t Find the length of the curve. b. Find the surface area of revolution when the region is revolved around the y...
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
296. Area under a curve. The area of the region bounded by the curve y = (-2<x< 2), the x-axis, V4 - x4 V4- and the lines x = a and x = b(a < b) is given by sin - €) - sin-"). a. Find the exact area if a 1 and 1 b. Find the exact area if a = -V3 and 5 = vā.
QUESTION 6 Find the area enclosed by the x-axis and the curve x=4+3, y=t-7 O a. 44 + 3t dt 404 + 3t dt 06.261 -2534 -25%A4+31 Oc 125e - eat O d. 12/²3 - eat
1-Cos(24) as O t 7, which I have drawn for you below. Find the area bounded by this curve and the X-axis. (Hint: Use Green's Theorem with F(r, y) ()) m, which I have drawn for you below. Find the area bounded by this curve and the X-axis. (Hint: Use Green's Theorem with F(x,)-().) (6) Consider the curve expressed by the polar equation T-0, as 0 1-Cos(24) as O t 7, which I have drawn for you below. Find the...
find area of the curve Find area of the curve for regions bounded by... y=x² Inx Люд. у.н 4.1.Х..
Find the length of the curve x=2/3t^3 , y=4t^2 on 0<=t<=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...