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atroni [7]
3 years ago
8

Find the sum of 5x^2y and (2xy^2+x^2y)

Mathematics
2 answers:
zlopas [31]3 years ago
8 0

6x^2y+2xy^2 and it’s bionomial

Ilya [14]3 years ago
5 0
5(x^2)(y)+(2(x)(y^2)+(x^2)(y))
5(x^2)(y)+2(x)(y^2)+(x^2)(y)
6(x^2)(y)+2(x)(y^2)
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Write an inequality that would include the point (3,78), (0,312), (5,10) to be part of the solution.
just olya [345]

Answer:

We want to write an inequality with the points (3, 78), (0, 312) and (5, 10) as solutions.

Then the set of the x-values is {0, 3, 5}

The set of the y-values is {10. 78. 312}

So if we wrote an inequality like:

y > 5

It would include all these solutions, because:

10 > 5

78 >  5

312 > 5

And this has no restriction on the x-variable, so all the x-value range can be a solution, meaning that the points (3, 78), (0, 312) and (5, 10) are solutions to that inequality.

Another one (also trivial) can be:

x < 9

because:

3 < 9

0 < 9

5 < 9

And we have no restriction on the y-values, then the points (3, 78), (0, 312) and (5, 10) are solutions to that inequality.

8 0
3 years ago
The position vector for a particle moving on a helix is
topjm [15]

Answer:

a) 25.15

b)

   x = 1

   y = t

   z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c) (x,y) = (1, -2pi)

Step-by-step explanation:

a)

First lets calculate the velocity, that is, the derivative of c(t) with respect to t:

v(t) = (-sin(t), cos(t), 2t)

The velocity at t0=4pi is:

v(4pi) = (0, 1, 8pi)

And the speed will be:

s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15

b)

The tangent line to c(t) at t0 = 4pi has the parametric form:

(x,y,z) = c(4pi) + t*v(4pi)

Since

 c(4pi) = (1, 0, (4pi)^2)

The tangent curve has the following components:

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c)

The intersection with the xy plane will occurr when z = 0

This happens at:

  t1 = -2pi

Therefore, the intersection will occur at:

(x,y) = (1, -2pi)

6 0
3 years ago
How do i solve this
stiks02 [169]
The formula for volume of a cylinder is 3.14r^2h.
r = 3
h = 6

3.14 x 3^2 x 6
3.14 x 9 x 6
=169.56

Let me know if you have any other questions

4 0
3 years ago
Read 2 more answers
What’s the diameter of the circle of the circumference is 30 pi inches
ICE Princess25 [194]
30?
30pi = 2pi r
30pi / 2pi = 15
15 = r
double the radius to get the diameter
15)2 =30
6 0
3 years ago
Read 2 more answers
Please help w these I’m not too sure
Nataly_w [17]
9) first option 10)last option
8 0
2 years ago
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