Questions from General Calculus

Q: Find the first partial derivatives. f (x, y

Find the first partial derivatives. f (x, y) = (5y3 + 2x2y)8

Q: Find the first partial derivatives. /

Find the first partial derivatives.

Q: Find the first partial derivatives. F (α, β

Find the first partial derivatives. F (α, β) = α2 ln (α2 + β2)

Q: Find the first partial derivatives. G (x, y

Find the first partial derivatives. G (x, y, z) = exz sin (y/z)

Q: Describe the solid whose volume is given by the integral and evaluate

Describe the solid whose volume is given by the integral and evaluate the integra.

Q: Calculate the value of the multiple integral. ∬D y

Calculate the value of the multiple integral. ∬D y dA, where D is the region in the first quadrant bounded by the parabolas x = y2 and x = 8 - y2

Q: Calculate the value of the multiple integral. ∬D y

Calculate the value of the multiple integral. ∬D y dA, where D is the region in the first quadrant that lies above the hyperbola xy = 1 and the line y = x and below the line y = 2

Q: Each of these extreme value problems has a solution with both a

Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint....

Q: Calculate the value of the multiple integral. ∭T (

Calculate the value of the multiple integral. ∭T (x2 +1 y2/3 dA, where D is the region in the first quadrant bounded by the lines y = 0 and y = √3 x and the circle x2 + y2 = 9

Q: Calculate the value of the multiple integral. ∭T x

Calculate the value of the multiple integral. ∭T x dA, where D is the region in the first quadrant that lies between the circles x2 1 y2 − 1 and x2 + y2 = 2