Multiple Integrals - Volume of a drilled space in a sphere
I have enclosed all details on the attached file. How do I find the volume of the drilled area? Consider a sphere of radius R and circular hole 2d drilled through along axis of symmetry...
Multiple Integrals - Volume of a sphere
Please find details on the attached file. Thank you
Differential Equation (XII) Formation of Differential Equations by Elimination It is the problem of finding the differential equation of all parabolas whose axes are parallel to the axis of y.
To prove that function f(x,y)=xy(x+y)
iIgave the difinition that a function f of two variables is differentiable at (a,b) My definition goes: if the function has its derivatives at point (a,b) then the function is differentible at (a,b) How to prove on the base of the definition, the function f defined by f(x,y)=xy(x+y) is differentiable at every point of its ...continues
I have no idea of going about this proof
g(x,y)=｜x｜y (that's module sign) prove that g is not differentiable at (0,b) for any value non-zero value of b
Differential equations by systematic elimination
I could use your assistance with a problem. The problem is to be soulved by using MATLAB. I have the stu version 6.0. I'm not real familure with using it, if you could show me the code on the problem I would greatly appriciate it. I have tried for a long time with no headway. I'm sorry, I wrote the problem in complete. t ...continues
Fundamental set of solutions of a Differential Equation
I'm having difficulty with all the steps and working of the problem. If you could lend some assistance I would be most grateful. Thank you. Verify that e^x Cos(2x) and e^x Sin(2x) form a fundamental set of solutions of the differential equation [ y'' - 2y + 5y = 0 ] on the interval (- infinidety, infinidety). With t ...continues
Need help with Algebra solution
12. Simplify: 10 t^6 3 ---- - --- -:- ---- t^2 2 t^5 13. Add: 4 7 ---- + ---- X x^2 14. Sandra can paint a kitchen in 5 hours and James can paint the same kitchen in 6 hours. How long would it take them working toget ...continues
Questions on differential equations
3 questions on differential equations university level. (See attached file for full problem description)
(See attached file for full problem description with all equations) --- I will give similar examples. Solutions: 1.The ODE X"+ kX = 0 has diff types sln depending on sign of k. We consider the three poss cases separately. k=0: X"=0 so that X(x)=Ao+Box, X'(0)=0 implies Bo=0 so that X(x)=Ao. Finally, X(1)=0 implies A ...continues
