b)(i) Describe R1 by using horizontal cross-section

ii)Describe R1 by using vertical cross-sections

iii)Describe R2 by using vertical cross-sections

iv)Describe R2 by using horizontal cross-sections

Region:

function

question

The region R = R, UR, is the union of the following two subregions: . subregion R1 which is the triangle ABC, and . subregion Rz which is the region bounded by the parabola passing through A, C and D. Notes. AC is a horizontal line. TASKS (a) Find the equation of lines AB, BC and the parabola ADC. 3 Write them on the table below: Line AB : y = fi(x) = Line BC: y = f2(x) = Parabola ADC: y = fa(x) = Hints. (1) The equation of the straight line passing through two given points (x1, y) and (x2, y2): _y2 - 3( x - x1) + y (Two-point form) (2) The equation of the parabola passing through three given points (x1, y1), (x2, yz) and (X3, ya): X1 y = ax +bx+c where X2 V2 VaRegion 67 f(x, y) = 10x4+ 19x3y +5yREGION 67 D (4, 6518 1215. R2 A(-3,2) C(6,2) R1 B(2,-4)