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Blizzard [7]
3 years ago
12

Add the following- 3/5,- 7/10and 4/15​

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

Answer:

-31/30

Step-by-step explanation:

-3/5 - 7/10 + 4/15 = -31/30

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Find the area of the surface correct to four decimal places by expressing the area in terms of a single integral and using your
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If we substitute x=r\cos\theta and y=r\sin\theta, we get r^2=x^2+y^2, so that

z=\cos(x^2+y^2)=\cos(r^2)

which is independent of \theta, which in turn means the surface can be treated like a surface of revolution.

Consider the function f(t)=\cos(t^2) defined over 0\le t\le1. Revolve the curve C described by f(t) about the line t=0. The area of the surface obtained in this way is then

\displaystyle2\pi\int_C\mathrm dS=2\pi\int_0^1\sqrt{1+f'(t)^2}\,\mathrm dt

=\displaystyle2\pi\int_0^1\sqrt{1+(-2t\sin(t^2))^2}\,\mathrm dt

=\displaystyle2\pi\int_0^1\sqrt{1+4t^2\sin^2(t^2)}\,\mathrm dt\approx7.4144

4 0
3 years ago
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-4x-10=2x+14<br><br> solve for x
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7 0
2 years ago
Read 2 more answers
9) In the standard co-ordinate system, which of the following points in the greatest distance from origin? A. (-4, -1) B. (-3, 3
ludmilkaskok [199]

The point with the greatest distance to the origin is given by:

B. (-3, 3).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:

D = sqrt(x² + y²).

Hence the distances for each point given in the problem are:

  • A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
  • B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
  • C. Distance = sqrt((4)² + 0²) = sqrt(16).
  • D. Distance = sqrt((2)² + 3²) = sqrt(13).

Hence option B has the greatest distance.

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

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1 year ago
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