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.1 AnswerPhysics1 month ago
Explain with steps so I understand.
Please show step by step or I'm not going to get it. Thank you3 AnswersMathematics2 months ago
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 Determine whether F is conservative. If it is, find a potential function.
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.
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.
- 2 AnswersMathematics2 months ago