See the graphs first (red for y=3-x*x and blue for y=x-1):
1. (25 points) Find the area of the region bounded by the given curves by two methods: (a) integrating with respect to x, and (b) integrating with respect to y 4x + y2 = 0, y = 2x + 4
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
20 Find the area of the region bounded by the equations by integrating (1) with respect to x and (ii) with respect to y x-16-y? a. - Type here to search o E e ê * 3
2. Sketch the region bounded by the graphs of the equations and find the area of the region f(x) = x2 + 2x +1 g(x) = 3x +3
show all work please (5 pts) Find the area of the region bounded by the graphs of y + 2 and y = [ +1,0 < x < 2. 2 Sketch the region.
3. Let R be the region bounded by the graphs of y4, and the -axis Find the volume of the solid that has R as its base if every cross section by a plane perpendicular to the x-axis is a square. Please include a picture of the base and the slice and write the area and volume of the slice. 5.333 2 3 3. Let R be the region bounded by the graphs of y4, and the -axis Find the...
Find the area of the region bounded by the graphs of the given equations. y= 6x – 1, y = x2 + 3x + 1 Not listed
Use an iterated integral to find the area of the region bounded by the graphs of the equations y = 27- xand y = x +7.)
Let R be the region bounded by the y-axis and the graphs and as shown in the figure to the right. The region R is the base of a solid. Find the volume of this solid, assuming that each cross section perpendicular to the x-axis is: a) a square. b) an equilateral triangle. Let R be the region bounded by the y-axis 4. and the graphs y = 1+x2 and y 4-2x 2x y = 4 as shown in the...
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]