function f(z)=(z^4)/(64+z^6) calculate the residues of the function f(z) at its singular points?

The linear operator p(D) represents a polynomial equation of derivatives where D stands for first derivative, D^2 second derivative D^3 third derivative and so on. Which of the following is equivalent to D(t^2*e^(2t))? a. t*(D+2)e^(2t) b. e^(2t) *(D+2)t^2 c. e^(2t) *(D+2)^2 t^2 d. t^2*(D+2)e^(2t) e. none

Find the second derivative of F(t) = (1 − 2t²)i + (tcost) - tk -- (2sin(t) + tcos(t))ĵ î- (2sin(t) + tcos(t)) O-4î - (2sin(t) + tcos(t)) ○ î+ (2sin(t) + tcos(t))ĵ

A function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of inflection at (4, 2). Find the value of a.

What is the residue of the function f(z) = (z^2 + 1) / (z^3 - 2z) at the point z = i?

The function f(x, y) = 2x^3 + 6xy^2 −3y^3 −150x has four stationary points, find them and classify all stationary points.

Find the first partial derivatives of the function at the point (1,2)

Find the gradient of the function whose center is at the origin and radius of 7units r^2=(x-9)^2+(y-b)^2

Find y'' of y(x)=C1sin2x+C2cos2x. Please explain

Find the first derivative r(t)=csc(5t/(t+1))i+(1/(1-t^2)^(1/2))j+(t^2+2t+1)k