show all work please (5 pts) Find the area of the region bounded by the graphs...
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.
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...
Please show all work 1. Find the area of the region bounded by the graphs of the given functions on the intervals indicated. a. y = x2 + 2, y = x, (2,5) b. y = (2x +1, y = 3x + 2, [0,2] C. y = ex-1, y = x,[1,4]
please help on these questions Question 4 > Find the centroid (y) of the triangle with vertices at (0,0), (2,0), and (0,9). Question Help: D Video Submit Question Question 5 < Find the centroid of the region bounded by the graphs of the functions 1 y= 2 sin(x), y = z , and = and touching the origin. 2' स The centroid is at (y) where IN 11 CI 11 Question Help: D video Submit Question
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y = -x and y = x2, x > 0 and the graph of x = = 1. R
solve both please Sketch the region enclosed by y = 3x and y 6.0². Find the area of the region. Find the average value of the function f(x) 3x4 on the interval 0 < x < 2
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 .
2. (8 pts) (a) (2 pts) Sketch the region D= {(x, y)| – 4 < x < 4, -V16 – x2 <y>0}. (b) (3 pts) Describe the region D in polar coordinates, that is, fill in the blank. Osrso. Ososo (0) (3 pts) Evaluate LcLm Sie uns a di dy de.
Find the area of the surface obtained by rotating the given curve about the x-axis. x = 20 cos (0), y = 20 sinº (0), 0 <O< 2 Preview