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
Descending order for a polynomial means from highest value of exponent to the lowest value of exponent.
If you observe the options you can see that polynomial shown in option A is only listed in descending order i.e. starting from a maximum exponent of x and then moving towards lower exponents of x.
So answer to this question is option A
Answer:
29,900 dollars a year
Step-by-step explanation:
So first we need to find how many weeks are in a year which there are 52.143 weeks but that can be rounded to 52. Now that we know that there are 52 weeks in a year all we have to do is multiply 52 by 575 which equals 29,900 dollars a year.
Hope this helps!
Answer:
y = 2x
Step-by-step explanation:
A) How high up the wall does it reach?
Use the Pythagorean theorem
Height^2 + Base^2 = Hyp^2
H^2+ 2^2 = 4^2 Subtract the 2^2 from both sides
H^2 = 4^2 -2^2 Multiply the square roots of both the numbers
H^2= 16 - 4
H^2 = 12
H= sqrt(12) m
Hope this helps
