6. Sketch the region enclosed by the curves 4x + y2 = 12 and y = x then find its area using the appropriate definite integral.
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
Sketch the region enclosed by the curves y = x + 2, y = 16 – x2 , x = – 2, and x = 2 on your paper. Find the area of the region. Show all steps mathematically connected.
4. Sketch the region enclosed by the curves y = x, y = 4x, y = -x +2, and find its area by any method. 5. Find the volume of the solid generated when the region between the graphs of f(x) = 1 + x2 and g(x) = x over the interval (0, 2) is revolved about the x- axis.
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
Sketch the region enclosed by the given curves. y = 8 cos ( x ) , y 3 - تهر12= 하 5 ا ا / \ م | للللللللللل 1 5 1.0 1.0 -15 Find its area.
Sketch the region enclosed by the given curves. y = 13 – x2, y = x2 - 5 -6 X 4 6 -10. XX a tax X - 2 4 6 -6 -10 O Find its area.
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y = 7z?, y = r?+ 5 Submit Question
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. 5 5 2 22 TE y = - sin y = у O d у 2 X у a y 4 -- 2 х -1 1 ----*====:2: -2 -4+ Q Find the area of the region.
Sketch the region enclosed by the given curves. Then, find its area by integrating with respect to y. x=4-y’, x= y² - 4