calculus 3 and 4

Show all work, don't explain each step. Please DON'T submit answers back to me as an attachment. Thank you. Find a new dependent variable such that the equation becomes linear in that variable. Then solve the equation: 1/(y^2 + 1) y' + 2/x tan^-1 y =2/x

calculus 3 and 4

Show all work, don't explain each step. Please DON'T submit answers back to me as an attachment. Thank you. State the largest possible domain of definition of the given function f: f(x, y)= square root of(4 - x^2 - y^2)

calculus 3 and 4

Show all work, don't explain each step. Please DON'T submit answers back to me as an attachment. Thank you. Describe the graph of the function f: f(x, y)= - (36 - 4x^2 - 9y^2) : is the square root of

Calculus 3 and 4

Show all work. Please DON'T submit answers back to me as an attachment. Thank you. The dimensions of a closed rectangular box are found by measurement to be 10 cm by 15 cm by 20 cm, but there is a possible error of 0.1 cm in each. Use differentials to estimate the maximum resulting error in computing the total surface area ...continues

calculus 3 and 4

Show all work, don't explain each step. Please DON'T submit answers back to me as an attachment. Thank you. Write chain rule formulas giving the partial derivative of the dependent variable p with respect to each independent variable: p=f(x, y, z); x=x(u, v), y=y(u, v), z=z(u, v)

calculus 3 and 4

Show all work, don't explain each step. Please DON'T submit answers back to me as an attachment. Thank you. Find the gradient vector f at the indicated point P: f(x, y, z)=(x^2 + y^2 + z^2) ; P(17, 3, 2) : is the square root of

calculus 3 and 4

Show all work, don't explain each step. Please DON'T submit answers back to me as an attachment. Thank you. Find the directional derivative of f at P in the direction of v; that is find D_u f(P), where u=v/{v}: f(x, y, z)= ln(1 + x^2 +y^2 - z^2) ; P(1, -1, 1), v=2i - 2j -3k

calculus 3 and 4

Show all work, don't explain each step. Please DON'T submit answers back to me as an attachment. Thank you. Find the maximum directional derivative of f at P and the direction in which it occurs: f(x, y)= sin (3x - 4y) ; P(pi/3, pi/4)

calculus 3 and 4

Show all work, don't explain each step. Please DON'T submit answers back to me as an attachment. Thank you. Use the normal gradient vector to write an equation of the line (or plane) tangent to the given curve (or surface) at the given point P: x^(1/3) + y^(1/3) + z^(1/3) = 1; P(1, -1, 1)

calculus 3 and 4

Show all work, don't explain each step. Please DON'T submit answers back to me as an attachment. Thank you. Suppose that the temperature at the point (x, y, z) in space (in degrees Celsius) is given by the formula: W= 100 - x^2 - y^2 - z^2. The units in space are meters. (a) Find the rate of change of temperature at the po ...continues