
can you help me answer this please Find the area of the region enclosed by y...
Evaluate the integral [~ /36+? Sx 736+X?dx=0 Find the area of the region enclosed by the curves y=x2 - 4x and y= -x2 + 4x The area of the region enclosed by the curves is (Type an integer or a simplified fraction.) Use l'Hôpital's rule to find the following limit. 10 In (x-9) x 10+ - (4-10_16->) - ] (ype an integer or lim- (Type an integer or a simplified fraction.) x - 10 In (x-9) X10+
Find the area of the region bounded by the graphs of the equations. y = 8x2 + 4, x = 0, x = 2, y = 0 Evaluate the definite integral by the limit definition. 7 x dx -6 X Evaluate the definite integral. Use a graphing utility to verify your result. (t1/ dt
5. Sketch the region enclosed by the curves y = (x – 2)2 and y = x then find its area using the appropriate definite integral.
6. Sketch the region enclosed by the curves 4x + y2 = 12 and y = x then find its area using the appropriate definite integral.
how do I answer part (c)?
I. Consider the finite region bounded by the functions y-x and y x ) We want to compute the area of this region by slicing it in two different ways: using horizontal strips and using vertical strips. For each slicing direction, draw a representative slice and write a definite integral that gives the area of the region. Vertical strips Aorizontal strips 15 05 05 05 05 1.0 1.5 05 15 05 -05 Integral: Integral...
Find the area of the region enclosed by the curves x = 5y2, x = 0, and y = 1. The area of the region enclosed by the curves is (Type a simplified fraction.)
3. Sketch the region enclosed by the given curves and use a definite integral to calculate its exact area. y = 0,x=-1, y = 772 , x = 1
Find the area of the region enclosed by the curves: x = -sec^2 y, x = sec^2 y, y = 0, y = pi/4 Using the method of cylindrical shells to find the volume of the solid that results when the region enclosed by the curves is revolved around the y axis. y = sqrt (x+1), y = 1, x = 1 y = 3 sqrt x, y =0, x =1 Find the volume of the solid that results when...
Question 1 Find the area of the region enclosed by the curves: y = vx – 1 X – y = 1 Enter an exact number as your answer (not a decimal)
Sketch the region enclosed by the curves and compute its area as
an integral along the x- or y- axis.
Sketch the region enclosed by the curves and compute its area as an integral along the e- or y-axis. (a) 1 = \y, r = 1 - \yl. (b) 1 = 2y, 2 + 1 = (y - 1)2 21 c) y = cos.r, y = cos 2.c, I=0,2 = 3