QUESTION 18 20 The area enclosed between the curves p(x) = 5 22 +ă 2+2 and...
Find the area enclosed by the given curves. y = 5 x 2 y=-x 2 + 6 016 4 8 32 A Moving to the next question prevents changes to this answer.
The area of the region enclosed by the curves y = 2x, 3y = X and 2y = -x+5 is none of these o o 3,5 0 2.5 0 o o
3. (21 pts) Compute the area of the region enclosed by the curves y = -2° + 5 and y = - 9x + 20.
6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch the region. 5x2-2. f(x)--3x2 + 30 and g(x) marks) c) Evaluate the following integrals. Give your answers to 2 decimal places. dac i) 2 (3+2 dx. (8 marks) [25 marks] 6.a) Let -2 5 -6 10 ), 2) an Evaluate the matrix 8 marks) b) Find the area enclosed between the following curves and sketch...
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
5. Sketch the region enclosed by the curves y = (x – 2)2 and y = x then find its area using the appropriate definite integral.
[11 Marks) ii) Determine the shaded area enclosed between the given two curves 3 +2, y = x + 2 4 y =
Question 18 Find the area of the region completely enclosed by the two graphs f(x) = x2 - 1 and g(x) = 1 - xfor the interval [-1, 1).
Calculus question on finding the area (by using integrals) enclosed by curves?? y = 8x y = x y = 8 / (x^2)
(a) Evaluate: L (2+5x)e 'dx 9Marks (b) Determine the area enclosed between the curves y = x + 1 and y = 7-X 8Marks (C) Water is leaking from a pipe and the volume. V litres, of the water is decreasing at the rate (6-21) litres per minutes after t minutes. Assuming that V = 9 when t = 0, find V in terms of t. 7 Marks (d) Find the equation of the curve that passes through (26) If...