We want to find a scalar function
such that
.
So we need to have
Integrating both sides with respect to
gives
Differentiating with respect to
gives
So we find that
By the fundamental theorem of calculus, we then know the line integral depends only on the values of
at the endpoints of the path. Therefore
Answer:
D
Step-by-step explanation:
The area of a circle can be found using:
a=πr^2
We know that the radius is 10 meters. Therefore, we can substitute 10 in for r.
a=π*10^2
Evaluate the exponent
a=π*100
Multiply pi and 100
a=314.159265359
Round to the nearest tenth: there is a 5 in the hundreth place, which indicates we round up the 1 in the tenths place to a 2.
a=314.2
The area is 314.2 square meters, or choice D
Step-by-step explanation:
first you find 60% of 357.50 which is $214.50. Next you would add $357.50+214.50=572
so the awnser is
the sale price of a popular smart phone is $572.
Hope this helps!!
To find the slope of g(x), use the slope formula(m):
And plug in two points, I will use:
(0, 2) = (x₁, y₁)
(5, 4) = (x₂, y₂)
You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:
Rise is the number of units you go up(+) or down(-) from each distinguished point
Run is the number of units you go to the right from each distinguished point
If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is 
Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A
