Calculus

True or False: The Implicit Function Theorem implies that the system of equations u = x2 - xy, v = ...

Started by Wadzanai

Given that the relation y2 + y = 14 - sin(xz2) + implicitly defines x as a differentiable function ...

Started by penza

The equations x = u2 - v2 and y = 2uv define u and v as functions of x and y in a neighbourhood of ...

Started by burton19126

Do the equations x2 + y2s + yt2 =13 and y2 + x2s + xt2 = 9 define s and t as functions of x and y ...

Started by cool

The equation x + y2 + sin(xy) = 1 defines y as a function of x near the point (0, 1). Find the value ...

Started by Diane

Find the second directional derivative of f(x, y) = cos(xy) + sin(xy) at (, 1/4) in the direction of ...

Started by tiara099

The electric potential V at time t at any point (x, y) in the plane is given by V = sin . An ...

Started by Redwolflake15

A particle is moving so that at time t its position is given by . Find the derivative of f(x, y, z) ...

Started by RYAN BANYAN

Find the two unit vectors tangent at the point (1, 1, 1) to the curve of intersection of the ...

Started by Pea0909berry

Find equations of the tangent line at the point (-2, 1, 5) to the hyperbola that is the intersection ...

Started by Kikoku

Find an equation of the plane tangent to the surface xy3z2 = 2 at the point (2, 1, -1).

Started by pragya sharda

The temperature in the xy-plane is a function T(x, y). At the point (a, b) the directional ...

Started by Mr.Thesaxman

Let f(x, y, z) = z2 -2x3 - 3y + 4 and let P be the point (1, -1, 3). Which of the following ...

Started by V@ndy87

Calculate the directional derivative of the function at (1, 1, 1) in the direction from (1, 1, 1) ...

Started by jc611

Find a unit vector in the direction of which the function f(x, y) = 6 e2 - x sin (a) increases most ...

Started by Mr.Thesaxman

Use the Jacobian matrix for the transformation f(x, y, z) = to find an approximate value for f(1.98, ...

Started by jjjetplane

In an electric circuit the current measured in amperes is related to the voltage and the resistance ...

Started by Pineappleeh

When the ellipse b2x2 + a2y2 = a2b2 is rotated about the x-axis, the volume V of the spheroid is ...

Started by mp14

The area of a triangle is given by the formula A = ab sin , where is the angle between the sides ...

Started by acc299

Find the differential of the function f(x, y) = tan-1.

Started by laurencescou

Find the linearization L(x,y) of f(x,y) = e(x2 - y2) about the point (3, 2).

Started by mynx

Assuming that the function f has continuous partial derivatives of orders 1 and 2, calculate and ...

Started by mcmcdaniel

Assuming that the function f has continuous partial derivatives of orders 1 and 2, calculate and ...

Started by cherise1989

Assuming that the function f has continuous second partial derivatives and that a and b are ...

Started by eruditmonkey@yahoo.com

Use the chain rule to find the values of and . at (u, v) = (0, 1), where z = x3y5, x = u - v, and .

Started by biggirl4568