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.
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.
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.
Home Work Task 1 Total M Determine the area of the region enclosed by the two curves y = sin2x and y = cosx by sketching the curves in (-1,1]. Find the area enclosed by, 1x + y - 11 + 12x + y - 11 = 1 By sketching the graph. 3 Sketch the graphs for the parabolas whose equations are, y = -x2 + 5x + 9 and y = x² + 3x + 5 Find the area...
5. Sketch the region enclosed by the curves y = (x – 2)2 and y = x then find its area using the appropriate definite integral.
Please answer both parts and write neatly 3x - y + 4 4. Let h(x, y) (a) State the domain of h. Give a rough sketch of this region in the xy plane; be sure to shade in the area belonging to the domain. (b) Find the equations of level curves for z 2 and for z = 3. Sketch the level curves on the same picture as the domain of f. Label the level curves by the corresponding value...
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
Q.2 and On Cartesian axes X - Y, sketch an accurate diagram of the quadratic functions y. (x) = 3x - 2x yz (x) = x2, that is, (a) Find the points where yı (x) and yz (x) cut the X and Y axes and where y. (x) and y2 (x) intersect. (b) Find the area of the region enclosed by yı (x) and yz (x) [5x2 marks]
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. y e , y=x2-1, x=-1, X-1 Find the area of the region. 3.68
show all work 1. Find the area of the region bounded by the curves below. Sketch a graph of the region first. a. x = y2, x = VD, y = 0 b. y = x2 – 4, y == x2 + 4