The volume of the solid that lies above the cone θ=π4 and below the sphere r=cos(θ) is: (Here, r=radial distance and θ=polar angle and ϕ=azimuthal angle)

Q: WIth the following locked polare curves in the plane: C1: r = 2 cos θ, C2: r = 2 sin(2θ) Find the…

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Q: Find the surface area of the solid formed when r=4sin(theta) is revolved about the initial ray,…

A: Given that, r=4sinθ We need to find the surface area of the solid formed when the curve is rotated…

Q: Consider the figure shown below. B' UB L A UA The fiber AB has an undeformed length of L = 1.6 m. In…

A: The formula Normal strain is,                                          ε =δL Where ε denotes Normal…

Q: Find the surface area when each line segment in Fig. 10 is rotated about the lines (a) y = 1 and (b)…

A: Although the extreme positions of the lines are not clear and definite from the graph. And let us…

Q: 4. Use spherical coordinate system to find the area of the strip as0SB on the spherical shell of…

A: Given Strip α≤θ≤β on the spherical shell of radius awhen α=0 and β=π

Q: Find the area a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Identify the surface for ρ = 4 cos φ

A: The given curve is: ρ=4cosφ Multiplying both the sides by ρ: ρ2=4ρcos φ Now, converting it into…

Q: Calculate the area of the circle r = 3 sin θ bounded by the rays θ = π/3 and θ = 2π/3.

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Q: Find the area of the rigion lies between the circles r=2 and r=4cos(theta) in the first octant.

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Q: Surface at 0 = 40° and r = 20 is a.. Cylinder Plane Circle Cone

A: Given:  r=20, θ=40°

Q: In the diagram below the two circles have radius 2 and centers D and G, DH is tangent to C(G, 2) at…

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Q: find the area of the surface formed by revolving the cardioid r= a(1+cosθ) about the x-axis

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Q: The helix  r(t) =   cos(πt/2), sin(πt/2), t    intersects the sphere  x2 + y2 + z2 = 2  in two…

A: Given helix r(t)=cosπt/2, sinπt/2, t intersect the sphere x2+y2+z2=2             in two points.

Q: Where m = 90°, the solid of revolution determined by revolving right triangle about leg is a right…

A: Our Aim is to determine when m=90°, the solid of revolution determinedby revolving right triangle…

Q: Calculate // (3xy + 2e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4,…

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