Answer:
h(x) = 2^(x) - 1.
Step-by-step explanation:
Let's look at each equation:
f(x) = -3x +7, Well as x increases, since it's multiplication, there are "going to be more" -3's, so it's going to be decreasing.
g(x) = -4(2^x). While 2^x is increasing, because "there are going to be more 2's multiplied by each other" as x increases, it's being multiplied by a negative number, so it's actually going to be decrasing
h(x) = 2^(x) - 1. Here's it's going to be increases as x goes towards infinity because "there are going to be more 2's multiplied by each other", and there isn't any negative sign, while there is a negative 1, it's constant, so the overall value will be increasing
Answer:
Pretty sure it's (4, -5)
Step-by-step explanation:
If not, shoot me I guess.
Let
The curl is
where 
denotes the partial derivative operator with respect to 
. Recall that
and that for any two vectors 
and 
, 
, and 
.
The cross product reduces to
When you compute the partial derivatives, you'll find that all the components reduce to 0 and
which means 
is indeed conservative and we can find 
.
Integrate both sides of
with respect to 
and
Differentiate both sides with respect to 
and
Now
and differentiating with respect to 
gives
for some constant 
. So
