Answer:
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Step-by-step explanation:
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Answer:
240.0
Step-by-step explanation:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
To find the rate of change of temperature with respect to distance at the point (3, 1) in the x-direction and the y-direction we need to find the Directional Derivative of T(x,y). The definition of the directional derivative is given by:
Where i and j are the rectangular components of a unit vector. In this case, the problem don't give us additional information, so let's asume:
So, we need to find the partial derivative with respect to x and y:
In order to do the things easier let's make the next substitution:
and express T(x,y) as:
The partial derivative with respect to x is:
Using the chain rule:
Hence:
Symplying the expression and replacing the value of u:
The partial derivative with respect to y is:
Using the chain rule:
Hence:
Symplying the expression and replacing the value of u:
Therefore:
Evaluating the point (3,1)