Answer:
The answer is 5 pieces of art.
Step-by-step explanation:
5% of 100 = 5.
Hope this helps!
Answered questions (total) = 21
Correct questions = 6
Incorrect questions = 21 - 6 = 15
Not answered questions = 4
6 x 3 = 18
15 x -2 = -30
4 x 0 = 0
18 - 30 + 0 = -12
The student scored -12 points.
Hope this helps!! :)
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)
To know if there is a perfect square you gotta see if there is a minus sign before the second coefficient and when you square the second coefficient divided by 2 you should get the third coefficient