Complete the sentence below. The expression 52x – 169 is equivalent to 13( )

Mathematics

2 answers:

gladu [14]2 years ago

7 0

Answer:

13(4x-13)

if you distribute it then you come back with 52x-169.

grandymaker [24]2 years ago

5 0

Answer:

its D 4x- 13

Step-by-step explanation:

i just did the question

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Compute the line element $d\vec r$ :

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$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$