Answer:
a)
.
b) 
Step-by-step explanation:
Given a function
, this function has the following gradient:
.
(a) find the gradient of f
We have that
. So


.
.

(b) find the directional derivative of f at (2, 4, 0) in the direction of v = i + 3j − k.
The directional derivate is the scalar product between the gradient at (2,4,0) and the unit vector of v.
We have that:

.

The vector is 
To use v as an unitary vector, we divide each component of v by the norm of v.

So

Now, we can calculate the scalar product that is the directional derivative.

Answer:
51 degrees
Step-by-step explanation:
gave up on delta math
Answer:
B)
a + c = 7
9a + 4c = $43
Step-by-step explanation:
There're 7 tickets which were bough in total. Two different types of tickets, one which represented children, the other for adults. The adult ticket is represented by <em>a </em>and is 9 dollars. The children's ticket is represented by <em>c </em>and is 4 dollars.
<em>Have a nice April Fool's XD.</em>
Step-by-step explanation:

Answer:
206
Step-by-step explanation:
I put it in a calculator