Calculus Answers

Find the equation of the tangent line at the given value of x on the curve.
y^3+xy^2-25=x+2y^2 ; x=2

A right triangular plate of base 2.0 m and height 1.0 m is submerged vertically in water, with top vertex 3.0 m below the surface. Find the force on one side of the plate.

given that v²=x²+y²+z² prove that d²v/dx² +d²v/dy² +d²v/dz² =2/v

any triangular area ABC find the moment of inertia about a perpendicular to its plane through A

integrate between limits 0 and d50〖1/(√2π *dp* ln GSD) exp[-〖{ln(dp )-ln(MMD)}〗^2/(2〖{ln(GSD)}〗^2 )]ddp 〗.

Note: the above model is a particle collection efficiency model that is used for calculating particle collection efficiency of mechanical cyclones. The upper limit is zero (0) while the lower limit is d50. The square root covers only 2pi.

After solving please test result with known variables given as MMD=19; GSD=1.4; d50=8.25; Expected result=99.3%. Also test MMD=13; GSD=1.7; d50=4.85; Expected result =96.8%.

Thank you very much as l am very confident that you will be able to help me solve this problem that have been giving me headache over the years. Thanks as l expect your reply.

Trace the curve y=(x^2-1)^1/3 and state all the properties you use to trace it

Find the area included between the curve x^3 + y^3 = 3axy and its asymptote

Find a third degree McLaurin expansion of f (x) =sec2x