If a case of 24 cans of peaches costs $7.50 how much does each can cost to the nearest cent

Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ

liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

$\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy$

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

Mx(x,y) = d/dx 8x²y = 16xy
Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

$\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy$

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

$\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2$

We conclude that the line integral is 1/2

4 0

2 years ago

9+2×42+6-2 Please show the work

timofeeve [1]

Answer:

The answer is 97

Step-by-step explanation:

According to PEMDAS, we will solve the multiplication first. 2 × 42 is 84. Next, we will add or subtract from left to right. 9 + 84 + 6 – 2 is 97, the answer to our problem.

8 0

1 year ago

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Which expression is equivalent to 4√147 A. 28√3 B. 12√7 C. 3√7

grin007 [14]

Answer:

(A) 28 squared 3

Step-by-step explanation:

8 0

2 years ago

Which of the following can be classified as Discrete and Quantitative data. The number of students in your school. The different

WITCHER [35]

Answer:

a) The number of students in your school.

Step-by-step explanation:

Quantitative and Qualitative:

The data that can be expressed with the help of numerical are know as quantitative variable.
Qualitative variable is the non parametric variable and numerical does not describe the data

Discrete and Continuous data:

Discrete data are expressed in whole number and cannot take all the values within an interval.
Continuous variable can be expressed in decimals and can take any value within an interval.

a) The number of students in your school.

Since whole numbers are used to express number of children it is a discrete and continuous data.

b) The different colors of the eyes of your classmates.

These are qualitative data and numerical are not used to express them.

c) The height of all the people in your neighborhood.

These are continuous data as height is measured and can be expressed in decimals.

d) The acceleration of your car as you drive to school.

These are continuous data as acceleration is measured and can be expressed in decimals.

3 0

2 years ago

20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER

jeka57 [31]

Answer:

yaaa

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers