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NARA [144]
4 years ago
14

Researchers have found a strong connection between the amount of athletes foot powder

Mathematics
1 answer:
Free_Kalibri [48]4 years ago
7 0
What question are you asking?

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Evaluate the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 +
Stolb23 [73]
S is given to be parameterized by

\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\langle u+v,u-v,1+2u+v\rangle

with 0\le u\le3 and 0\le v\le2. We have

\mathbf r_u=\langle1,1,2\rangle
\mathbf r_v=\langle1,-1,1\rangle
\mathbf r_u\times\mathbf r_v=\langle3,1,-2\rangle
\left\|\mathbf r_u\times\mathbf r_v\right\|=\sqrt{14}

The surface integral is then

\displaystyle\iint_S(x+y+z)\,\mathrm dS=\iint_S(x(u,v)+y(u,v)+z(u,v))\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv
=\displaystyle\sqrt{14}\int_{u=0}^{u=3}\int_{v=0}^{v=2}((u+v)+(u-v)+(1+2u+v))\,\mathrm dv\,\mathrm du
=\displaystyle\sqrt{14}\int_{u=0}^{u=3}\int_{v=0}^{v=2}(4u+v+1)\,\mathrm dv\,\mathrm du
=\displaystyle\sqrt{14}\left(8\int_{u=0}^{u=3}u\,\mathrm du+3\int_{v=0}^{v=2}v\,\mathrm dv+6\right)
=\displaystyle\sqrt{14}\left(8\int_{u=0}^{u=3}u\,\mathrm du+3\int_{v=0}^{v=2}v\,\mathrm dv+6\right)
=48\sqrt{14}
4 0
4 years ago
(2+5i)(6-i) simply ........
Verizon [17]

Answer:

17+28i

Step-by-step explanation:

TELL ME IF IM RIGHT PLEASR

3 0
3 years ago
Read 2 more answers
How much would 55 pounds on mercury weight on earth
azamat
144.74 pounds, I rounded the answer. to get this you would divide 55 by .38 .
7 0
4 years ago
Find each missing measure for 1, 2, 3, and 4. Giving brainliest!
GaryK [48]

Answer:

a quadrilateral adds up to 360 degrees so each 4 siede figure is 360 degress

Step-by-step explanation:

1. add 108 + 59 + 119= 286 now do 360 - 286 = and you get 74

so that is how you get the answeres for the question , add the degrees then minus it by 360

Please mark brainliest :)

2. x = 234

3. x = 37

4. x = 83

5 0
2 years ago
Read 2 more answers
Which steps will verify that a parallelogram is a rectangle? Check all that apply.
avanturin [10]

Answer;

-Calculate the lengths of the diagonals, and show that they are equal.

-Calculate the slopes of every side, and show that adjacent sides are perpendicular.

Explanation;

-A parallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. If the diagonals of a parallelogram are congruent, then it’s a rectangle and also if a parallelogram contains a right angle, then it’s a rectangle.

8 0
4 years ago
Read 2 more answers
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