3 years ago

Is

Mathematics

1 answer:

Svet_ta [14]3 years ago

8 0

D is the correct answer

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Find the work done by the force field F(x, y) = xi + (y + 5)j in moving an object along an arch of the cycloid r(t) = (t − sin(t

Nimfa-mama [501]

Integrate the force field along the given path (call it <em>C</em>):

$W=\displaystyle\int_C\mathbf F(x,y)\cdot\mathrm d\mathbf r=\int_0^{2\pi}\mathbf F(x(t),y(t))\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^{2\pi}\bigg((t-\sin t)\,\mathbf i+(6-\cos t)\,\mathbf j\bigg)\cdot\bigg((1-\cos t)\,\mathbf i+\sin t\,\mathbf j\bigg)\,\mathrm dt$

$=\displaystyle\int_0^{2\pi}(t-t\cos t+5\sin t)\,\mathrm dt=\boxed{2\pi^2}$

5 0

3 years ago

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Arte-miy333 [17]

you gotta remember pemdas

1.solve the equation in the parenthesis

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3 years ago

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mariarad [96]

Answer:

Step-by-step explanation:

First Use Negative Power Rule: Which is, $x^-a=\frac{1}{x^a}$

Then you simplfiy, and your answer will be $\frac{1}{y^7}$

Therefore, your answer is $\frac{1}{y^7}$

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3 years ago

Akira dilated line k through a point not on the line. Which is the best description of the new image she created?

Reil [10]

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4 years ago

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Evaluate the algebraic expression x(4x-10)^3 for x=2.

crimeas [40]

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16

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4 years ago

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