Considering the images (a),(b),(c),(d),(e),(f) the oriented path is
(a) Negative
(b) Positive
(c) Positive
(d) Zero
(e) Zero
(f) Zero
calculating each quadrant's line integral and symmetry.
In calculus, a line integral is an integral where the function being evaluated is along a curve. A line integral is also known as a route integral, curve integral, or curvilinear integral.
What does a Line integral mean?
- A line integral makes it possible to figure out a surface's area in three dimensions. Numerous situations call for the use of line integrals. They can be used, for instance, in electromagnetics to determine the work done on a charged particle moving along a curve in a force field that is represented by a vector field.
- Path, curvilinear, and curve integrals are other terms for line integrals. There are several uses for line integrals, including electromagnetics, where it is used to calculate the force exerted on a charged particle moving along a curve in a force field created by a vector field.
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Answer:
2x^2 + 7x.
Step-by-step explanation:
8x^2 - 5x + 3x(4 - 2x)
= 8x^2 - 5x + 12x - 6x^2
= 2x^2 + 7x.
Answer:
<h2>
162</h2>
Step by step explanation
Multiply both sides of equation by 9/5
Reduce the numbers with Greatest common factor 9
Reduce the numbers with G.C.F 5
Multiply the numbers
Hope this helps..
Best regards!!
Answer:
Length: 23.38
Width: 3.34
Step-by-step explanation:
First I drew out a diagram so that I could visibly see the problem. [ a rectangle with 7x on one side and x on the other.
So to find the area you multiply length time width and 7x times x is 7x^2. The actual area is given: 78, so you set that equal to 7x^2.
Then you want to divide by 7 to get 11.14. Then you want to take the square root of 11.14 to get 3.338 which rounds to 3.34 {try not to round until the very end]. This gives you the width of the rectangle, so to find the length you would have to multiply x by 7 to get 23.38. When you multiply the length and width (3.34 x 23.38) you get 78.08 which can round to 78.
7x^2 = 78
x^2 = 78/7
x^2= 11.142...
x = sqrt(1.142...)
x = 3.338 --> 3.34 --> width
3.34 x 7 --> 23.38 --> length
3.34 x 23.38 --> 70.8
Answer:
see the attachment
7 hours
Step-by-step explanation:
The cost for River Y is a constant (not dependent upon hours), so is c = 41.
The cost for River Z is the sum of the deposit and the hourly cost, so is ...
c = 13+4n
These equations and their graphs are shown in the attachment. The graphs cross where n=7, indicating you have to rent a canoe for 7 hours for the cost to be the same on both rivers.
