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)
<span>The moving of decimal to the left is a shortcut to the
operation of multiplying number by decimal numbers. So the power of 10 that is involved
in converting the measurements of pete is -4, so he needs to multiply the
measurement by 10^-4 to convert it.</span>
<span>Simon
has 5 employees, each works 6 4/15 hours per day
First, let’s convert the fraction into decimals
=> 6 4/15 = 94/15 or 6.27 hours
=> 31.33 … repeating decimals.
now, let’s convert this decimals to fraction
=> 31.33 = 31 1/3
Thus, the answer is D. 31 1/3, the total number of hours that his employees
works per day.</span>
Step-by-step explanation:
PARA ENCONTRAR CUÁNTO MIDE CAD LADO SE DIVIDE EL PERÍMETRO
ENTRE 4 LADOS
l = 1.28 in
LOEGO ENCUENTRAS EL RADIO DE LA PIRÁMIDE
<em>r</em> = 2.55 in
USANDO LA FÓRMULA
V = 4(1.28 in)(2.55 in)(2.7 in)/6 = 
Solve for r.
You want to get r by itself on one side on the equal sign.
bh + hr = 25
Subtract bh from both sides.
hr = 25 - bh
Divide h on both sides.
r = 25 - bh / h
The two h's cancel each other out.
r = 25 - b
Hope this helps!
