Set up Calculate planes Following triple integral, but do not. Solid bounded by X=y² and the it: a X +2=3 the 2=0 and
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- Question 1: Summarize the Riemann sum argument that gives the formula of area as a double integral. Hint 1: Read the subsection “Areas of Bounded Regions in the Plane” (p. 911 – 913).Write a line integral(s) that would give you the area the graph of f(x,y)=x^2-3y^2-4x+6y+30 and the triangle vertices (0,0) (4,0) and (0,4)Consider the region R shown in the following figure, which involves the curves of equations: ex - y = 1, x2 + y = 0. (see figure in the attached image) Select the iterated integrals that allow you to calculate I:
- Question 6 - Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved around the Y-AXIS.Which one of the following integrals represent the area of the surface obtained by rotating the curveFind the area of the region that lies inside the first curve and outside the second curve. r = 4 − 4 sin(θ), r = 4