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oee [108]
3 years ago
10

answer options: 15,16,16,17. (yes there are two 16's on the answer format), i tried making it 98 points because i have 709, but

i only needed 500. sorry, it only allowed me to do 10 points.

Mathematics
1 answer:
lord [1]3 years ago
5 0

Answer:

I believe the answer is 17

Step-by-step explanation:

If you count the length of it by counting how many of the tiny squares it is on it is 17.

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Calculus 3 chapter 16​
o-na [289]

Evaluate \vec F at \vec r :

\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k

Compute the line element d\vec r :

d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt

Simplifying the integrand, we have

\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}

3 0
1 year ago
Joey fills 1/5 of a toffee box in 1/25 of a
butalik [34]
1/25 of a minute is 2,4 secs.

1/5 = 2,4s
5/5 = 12 secs

5 0
3 years ago
Read 2 more answers
Given the following functions f(x) and g(x), solve (f/g)(-4) and select the correct answer below. F(x)=4x-4 G(x)=x-1
yan [13]
To start set up a fraction with the f(x) on top and g(x) on bottom
(f/g)(x) = (4x - 4)/(x - 1)  - This is the function that we are going to use

Plug in -4 for x
(f/g)(-4) = (4(-4) - 4)/(-4 - 1) = (-16 - 4)/(-5) = (-20)/(-5) = 4

So...
(f/g)(-4) = 4

4 0
3 years ago
Read 2 more answers
Can someone help me figure these out????
TEA [102]
It’s the 3 and for number 2 it’s 1
6 0
3 years ago
What is the measure of the smallest interior angle of the hexagon shown?
yan [13]
<h3>Answer:  C) 70 degrees</h3>

=========================================================

Explanation:

We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees

Lets add up the angles, set the sum equal to 720 and solve for x

x+2x+115+2x+115+2x = 720

7x+230 = 720

7x = 720-230

7x = 490

x = 490/7

x = 70

This makes angle 2x = 2*70 = 140 degrees

We see that x = 70 is the smallest angle, so that's why C is the answer.

7 0
2 years ago
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