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3 years ago

100 points

Mathematics

1 answer:

tester [92]3 years ago

3 0

X is equal to 1.5. In order to get this you divide each side by 1.2

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∫c<br> x sin y ds, C is the line segment from (0, 1) to (3, 5)

Mnenie [13.5K]

Parameterize the line segment $C$ by

$\mathbf r(t)=\langle x(t),y(t)\rangle=(1-t)\langle0,1\rangle+t\langle3,5\rangle=\langle3t,1+4t\rangle$

where $t\in[0,1]$ . Then

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt$
$\mathrm ds=\|\langle3,4\rangle\|\,\mathrm dt$
$\mathrm ds=5\,\mathrm dt$

So the integral is

$\displaystyle\int_Cx\sin y\,\mathrm ds=5\int_0^1x(t)\sin y(t)\,\mathrm dt$
$=\displaystyle5\int_0^13t\sin(1+4t)\,\mathrm dt$
$=\dfrac{15}{16}(\sin5-\sin-4\cos5)\approx-2.7516$

3 0

2 years ago

The triangle shown on the graph above is rotated 90 degrees clockwise about the original to form triangle P’Q’R which of the fol

azamat

Hey there! I'm happy to help!

When rotating a point 90 degrees clockwise about the origin, our original point (x,y) becomes (-y,x), because it is now at a negative y-value.

We see that our point P is at (1,2). We can use this rotation formula to find the coordinates of P' (the new spot where P is)/

(x,y)⇒(-y,x)

(1,2)⇒(-2,1)

Therefore, the coordinates of the point P' are (-2,1).

Have a wonderful day! :D

4 0

3 years ago

Translate the phrase into a math expression.twenty divided by the sum of 4 and 1.

yuradex [85]

The answer is
20/(4+1) = 20/5 = 4

4 0

2 years ago

15/16 is 1 sixteenth groups of what size

jeka57 [31]

15/16 = 1/16x
(15/16) / (1/16) = x
15/16 * 16/1 = x
15 = x <= 1/16 groups of 15...I think...my mind is trying to comprehend..lol

6 0

2 years ago

Read 2 more answers

If r varies directly as t andr= -20 when t = 4, find r when t= -6.

Alex73 [517]

Answer:

Step-by-step explanation:

t r = k/t Where k = constant of proportionality 132 = k/4 k = 4 x 132 k = 528 Formula r = 528/t Using formula r = 528/32 r = 16.5 Hope this helps :-) ...

6 0

2 years ago