Lv 2321 points

# Dao

Questions29
• ### Find the moment of inertia of a right circular cylinder of radius of base R and height H?

Find the moment of inertia of a right circular cylinder of radius of base R and height H, about the axis of the cylinder, if the density at the point p is proportional to the distance from p to the axis of the cylinder . write down the result in terms of the mass of the cylinder.

• ### Does anybody know how you  S = ∫∫√(1+(-2x)^2+(-𝑦)^2 )rdrd𝜃 to  S=∫∫√(1+r^2) rdrd𝜃 ?

Explain with steps so I understand.

Mathematics2 months ago
• ### Integrate   (0,2π)∫  (0,π/2)∫  (1/2 sec(φ),1)∫ (ρ^2 sin(φ)]dpdφdθ.?

Please show step by step or I'm not going to get it. Thank you

• ### Convert the integral [0,1]∫ [0, √(1-x^2)∫ [0,√(1-x^2 -y^2)]∫𝑧√(x^2 +y^2 +z^2)dzdydx?

Convert the integral [0,1]∫ [0, √(1-x^2)∫ [0,√(1-x^2 -y^2)]∫𝑧√(x^2 +y^2 +z^2)dz dy dx into an equivalent integral in spherical coordinates and evaluate the integral.

• ### Given the vector field F(x,y,z)=(2xy + ycosx + 𝑥^2)i + (𝑥^2 + sinx +𝑦^2)j?

Given the vector field F(x,y,z)=(2xy + ycosx + 𝑥^2) i + ( 𝑥^2 + sinx +𝑦^2) j Determine whether F is conservative. If it is, find a potential function.

• ### Find the divergence and the curl of the vectorfield F(x,y,z) = (z + 𝑥^2 y) i + (xyz) j + (x + 𝑦^2 𝑧) 𝒌 at the point   P(1,1,1)?

Mathematics2 months ago

• ### If z=f(x,y), where x=rcosθ and y=rsinθ, show that (∂^2 z/∂y^2)=(∂^2 z/∂r^2)=(1/r^2)(∂^2 z/∂θ^2)+(1/r)(∂^2 z/∂r)?

Mathematics2 months ago
• ### Let R be the region in the xy-plane which lies below the curve y = 𝑥^3, above the x-axis and for which 0 ≤ x ≤2.?

Let R be the region in the xy-plane which lies below the curve y = 𝑥^3, above the x-axis and for which 0 ≤ x ≤2. Compute the integral ∫∫R(𝑥+𝑦)𝑑A

a. integrating y first then x.

b. integrating x first then y.

• ### If f is a function of x and y, find ║∇f║^2 and ∇f and  in polar coordinates r and θ.?

Mathematics2 months ago

• ### Can someone show I how to find the min? I found the max =80/3 but don't know is it correct or not.  Thank all who been answer my questions.?

Find the maximum and minimum values of the function f(x,y)=4x^2 +9y^2 subject to xy = 4. Use Lagrange multipliers.