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Chapter 12: Q. 5 (page 988)

Describe the meanings of each of the following mathematical expressions :
$\partial A$

Short Answer

Expert verified

Ans: $\partial A$ It means a partial derivative of area A.

Step by step solution

Step 1. Given information.

given,

$\partial A$

Step 2. The meaning of the given expression is,

$\partial A$ It means a partial derivative of area A.

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Most popular questions from this chapter

In Exercises, find the maximum and minimum of the function f subject to the given constraint. In each case explain why the maximum and minimum must both exist.

$f (x, y, z) = x y z when x^{2} + y^{2} + z^{2} = 9$

Find the gradient of the given function, and find the direction in which the function increases most rapidly at the specified point P.

$f (x, y) = x \sin y, P = (3, \frac{π}{2})$

Explain the steps you would take to find the extrema of a function of two variables $f (x, y),$ if $(x, y)$ is a point in a triangle role="math" localid="1649884242530" $T$ in the xy-plane.

Explain how you could use the method of Lagrange multipliers to find the extrema of a function of two variables, $f (x, y),$ subject to the constraint that $(x, y)$ is on the boundary of the rectangle $R$ defined by $a \leq x \leq b and c \leq y \leq d .$

$A chain rule for functions of two variables : Let f (x, y) = x^{2} y^{3}, x = s \cos t, and y = s \sin t . Find \frac{\partial x}{\partial s} and \frac{\partial x}{\partial t} .$

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Describe the meanings of each of the following mathematical expressions : ∂A

Short Answer

Step by step solution

Step 1. Given information.

Step 2. The meaning of the given expression is,

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Describe the meanings of each of the following mathematical expressions :
$\partial A$