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3 years ago

2. EXERCISE Mike's Fitness Center charges $30 per

Mathematics

1 answer:

Amanda [17]3 years ago

6 0

Answer:

7 or 9 either one

Step-by-step explanation:

because 2+5 +7 and

2+2+5 = 9

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Evaluate the surface integral ∫sf⋅ ds where f=⟨2x,−3z,3y⟩ and s is the part of the sphere x2 y2 z2=16 in the first octant, with

skad [1K]

Parameterize S by the vector function

$\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.

Compute the outward-pointing normal vector to S :

$\vec n = \dfrac{\partial\vec s}{\partial v} \times \dfrac{\partial \vec s}{\partial u} = \left\langle 16 \cos(u) \sin^2(v), 16 \sin(u) \sin^2(v), 16 \cos(v) \sin(v) \right\rangle$

The integral of the field over S is then

$\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv$

$\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv$

$\displaystyle = 128 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \cos^2(u) \sin^3(v) \, du \, dv = \boxed{\frac{64\pi}3}$

8 0

2 years ago

5^7/5^5 hurrrrrrrrryyyyyyyyyyyyy

Gnoma [55]

Answer:

Step-by-step explanation:

8 0

3 years ago

The assembly of a machine takes 3/4 hour there are 12 steps in the assembly process what is the average time for each step

S_A_V [24]

We can solve this two different ways. I'll do both, and you choose which one makes the most sense:
We can divide the fraction 3/4 by 12. remember, when we divide fractions, we flip the second fraction and change the sign to multiplication:
3/4 ÷12 [starting equation]
3/4 x 1/12 [flip and change sign]
3/48 [now reduce]
1/16 Each step takes 1/16 of an hour.
1/16 x 60 = 3 3/4, or 3.75 minutes

Second way:
3/4 of an hour is 3/4 of 60...45 minutes.
Still, we divide out:
45 ÷ 12 [starting equation]
3 9/12 [divide with remainder]
3 3/4 minutes...3.75 minutes

5 0

4 years ago

Which is the graph of f(1) = (x - 1)(x + 4)?

Papessa [141]

Answer:

Step-by-step explanation:

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2 years ago

What is the volume of the prism? Pls I need this ASAP

AnnyKZ [126]

Answer:

819 cubic centimeters.

Step-by-step explanation:

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3 years ago