(a) R is the region bounded by the curves y = 3 - sinx, z = sinx, x = 0 and x = n. Sketch both curves and shade in the region R. (Graph paper not required). Find the area of the region R in terms of T. (b) The portion of the curve y = 3vx between y = 0 and y = 6 is rotated through a full revolution about the y-axis Sketch the solid of revolution and, by integration, find its volume. Give your answer correct to two decimal places.

Q: (b) Sketch the graph of the cardioids r = 2(1+ sin 0) and r 1- sin 0. Find the area of the region…

A:

Q: The area of the region that is inside the cardioid r = the circle r8 is 8(1 sin) and inside -

A: We have plotted the cardioid and the circle on the same graph below. Blue coloured curve is that of…

Q: Find the area of the surface obtained by rotating the curve x = 6 cos 0, y = 6 sin³ 0, 0< 0 <n/2 %3D…

A:

Q: Q2/ Let the curve (r = sin e + cos e) 1. Identify the symmetry of the curve. Then sketch the curve…

A:

Q: Sketch the region enclosed by the curves and find its area. y = 7x ,y = 7Vx, x = - and x = 1 Enter…

A:

Q: 4. Write down the name of the curves and shade the region that is inside of r = 2 + 2 sine and…

A:

Q: Q1) Sketch the region enclosed by the curves and finds its area y=sin2x y=0, x=, x 4

A: The objective is to find the area of the region enclosed by the curves y=sin2x, y=0, x=π4, x=π2 The…

Q: Find the area of the shaded region. r² = sin(20) L

A: GivenEquation of the curve in polar coordinate  asAimTo find the area of the shaded region.1) The…

Q: Graph and Find the area of the region(s) enclosed by y 1+ sin x, y = 1- sinx, and -x

A:

Q: Find the area of the shaded region of the graph of r=1+sin(0)

A: Consider the given function r=1+sinθ

Q: Find the area of the region enclosed by the curve r = 2+ cos (20). (1.) (3,( Bu Die Aya Yard 97…

A: To find the area of the region enclosed by the curve r=2+cos2θ

Q: Find the area of the region of intersection of the curves r = 4+3 cos 0 and r = 2 cos 0. Identify…

A: The given curves are r=4+3cosθ and r=2-cosθ. To Find: (i) The area of the region of intersection of…

Q: find the mside the r= 2a cos curve of region area the outside the r=Q arcle .

A: From given,we have to find the area of the region inside r=2a cos(theta) and outside r=a

Q: 1. v₁ = (4, −2, 6, −4), V₂ = (6, −3, 9, −6)

A:

Q: Determine the area of the region of intersection of the curves r= 4 sin 0 and r = 4 cos 0. Sketch…

A:

Q: 2. (a) Find the area of a region that lies inside the circle r = 2 sin 0 and outside the circler 1.

A: