Answer:
92
Step-by-step explanation:
Multiplying two negatives together results in a positive.
-23 * -4 = 23 * 4 = 92
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)
You need to solve for one of the variabkes and then plug it in
when I did one of them I got a=5-3b/2 so after that you plug that in for a and solve for the other variable, hope it helps
#1 is y=1 ill give you the others in a min.