Let ????C be the positively oriented square with vertices (0,0)(0,0), (2,0)(2,0), (2,2)(2,2), (0,2)(0,2). Use Green's Theorem to
bonufazy [111]
Answer:
-48
Step-by-step explanation:
Lets call L(x,y) = 10y²x, M(x,y) = 4x²y. Green's Theorem stays that the line integral over C can be calculed by computing the double integral over the inner square of Mx - Ly. In other words
Where Mx and Ly are the partial derivates of M and L with respect to the x variable and the y variable respectively. In other words, Mx is obtained from M by derivating over the variable x treating y as constant, and Ly is obtaining derivating L over y by treateing x as constant. Hence,
- M(x,y) = 4x²y
- Mx(x,y) = 8xy
- L(x,y) = 10y²x
- Ly(x,y) = 20xy
- Mx - Ly = -12xy
Therefore, the line integral can be computed as follows
Using the linearity of the integral and Barrow's Theorem we have
As a result, the value of the double integral is -48-
Answer:
$7.18
Step-by-step explanation:
Multiply the number of pounds bought by the cost of one pound.
(2.4 pounds)($2.99 per pound) = $7.176 ≅ $7.18
Answer: to get the variable by itself on one side
Step-by-step explanation:
Answer:
X=6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
15=7x+3−5x
15=7x+3+−5x
15=(7x+−5x)+(3)(Combine Like Terms)
15=2x+3
15=2x+3
Step 2: Flip the equation.
2x+3=15
Step 3: Subtract 3 from both sides.
2x+3−3=15−3
2x=12
Step 4: Divide both sides by 2.
2x2=122
x=6
Answer:
x=6
Answer:
Step-by-step explanation:
9 times 6 times 17 = volume
918 - volume
surface area= 2( length times width plus length times height plus height times width )
So just substitute the values and you get 618 cm squared
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