Answer:
a) 
b) 
Step-by-step explanation:
Recall that given a function f(x,y,z) then 
. To find f, we will assume it exists and then we will find its form by integration.
First assume that F = 
. This implies that
if we integrate with respect to x we get that
for some function g(y,z). If we take the derivative of this equation with respect to y, we get
This must be equal to the second component of F. Then
This implies that 
, which means that g depends on z only. So 
Taking the derivative with respect to z and making it equal to the third component of F, we get
which implies that 
which means that g(z) = K, where K is a constant. So
b) To evaluate 
we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.
Recall that 
so 
Also 
so 
So
Answer:
alalalalalalalalaa
Step-by-step explanation:
Answer:
hamster heaven
y=20+2.5x
hamster fun world
y=35+x
Step-by-step explanation:
by solving we get
x=10
y=45
by comparing the graph hamster fun world 8s cheaper on the long run
Mark Me Brainliest
Answer:
not a right triangle
Step-by-step explanation:
We can use the Pythagorean theorem to see if it is a right triangle
a^2 + b^2 = c^2
15^2 + 12^2 = 21^2
225 + 144 = 441
369 = 441
This is not true so it is not a right triangle
Answer:All real numbers
Step-by-step explanation:
