WebFeb 22, 2011 · The area of the region bounded by the curve y = sqrt (x - 1), the y- axis and the lines y = 1 and y = 5 is the limited integral of the expression of x in terms of y, between … WebMay 7, 2024 · To find the area of the region bounded by. y = √1 – x 2 …(i). x 2 + y 2 = 1. x = y …(ii) On solving the equation (i) and (ii), Or x 2 + x 2 = 1. Or 2x 2 = 1. Or x = \(\pm …

Find the area of the region bounded by the given curves. y

WebSep 20, 2024 · What is the area of the region bounded by the curve y =1/x, the x-axis and between x = 1 to x = 6 - 23367041. karthikeyaj007 karthikeyaj007 21.09.2024 Math … WebQ: find the area of the region bounded by the curve y^2=x+1 , both by the x and y axes and the line x=8. A: Using Reimann sums, the area of the region R is given by Sn=∑k=1n∆Ak. This is simply the sum of… csd analysis

Area of a Bounded Region - Statistics How To - Calculus How To

WebAnswer (1 of 2): The curve is y=x^3..eq(1) The slant line is y = x + 6..eq(2) and the vertical line is x = 0..eq(3) Intersecting point of (1) and (2) is obtained by solving them. x³=x+6 x³-x-6=0 x-2 is a factor of LHS and x=2 is a root of this equation. By long division x³-x-6=(x-2)(x... WebAnswer (1 of 5): Let’s first find where the two graphs meet. Substituting x=y² into y=−x+ 6 gives y=−y²+ 6, which rearranges to y²+y-6=0 and factorises to (y+3)(y-2)=0 and solves to give y=-3 or y=2. With one graph being x=y² and the other rearranging to x=6-y, we can work out the area by integr... WebFind the volume if the area bounded by the curve `y = x^3+ 1`, the `x`-axis and the limits of `x = 0` and `x = 3` is rotated around the `x`-axis. Answer. This is the region as described, … csd allume feu