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Gekata [30.6K]
3 years ago
15

Consider the following polynomial:

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

Answer:

degree: 5

leading coef: 5

constant: 8

leading term: 5ab^5

Step-by-step explanation:

degree is highest exponent leading coef is number in the term w highest exp, constant is the number with no variables attached and leading term is term w highest exp

You might be interested in
Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y
zalisa [80]

Answer:

y has a finite solution for any value y_0 ≠ 0.

Step-by-step explanation:

Given the differential equation

y' + y³ = 0

We can rewrite this as

dy/dx + y³ = 0

Multiplying through by dx

dy + y³dx = 0

Divide through by y³, we have

dy/y³ + dx = 0

dy/y³ = -dx

Integrating both sides

-1/(2y²) = - x + c

Multiplying through by -1, we have

1/(2y²) = x + C (Where C = -c)

Applying the initial condition y(0) = y_0, put x = 0, and y = y_0

1/(2y_0²) = 0 + C

C = 1/(2y_0²)

So

1/(2y²) = x + 1/(2y_0²)

2y² = 1/[x + 1/(2y_0²)]

y² = 1/[2x + 1/(y_0²)]

y = 1/[2x + 1/(y_0²)]½

This is the required solution to the initial value problem.

The interval of the solution depends on the value of y_0. There are infinitely many solutions for y_0 assumes a real number.

For y_0 = 0, the solution has an expression 1/0, which makes the solution infinite.

With this, y has a finite solution for any value y_0 ≠ 0.

8 0
4 years ago
2<br> Classify the triangle based on its side lengths.
Akimi4 [234]

Answer:

Isosceles.

Step-by-step explanation:

Two equal sides.

7, 7, and 5

An isosceles triangle can be drawn in many different ways. It can be drawn to have two equal sides and two equal angles or with two acute angles and one obtuse angle.

8 0
3 years ago
Read 2 more answers
Helppp plzzzzzzz?????
Viktor [21]
I believe the answer is C. 


3 0
4 years ago
Read 2 more answers
Problem 2
Sever21 [200]

Answer:

4.23 x 10 to the 4, 2 x 10 to the 3, 9.2 x 10 to the 6, 4 x 10 to the 3, 8 x 10 to the 7, and 3.2 x 10 to the 10.

Step-by-step explanation:

I will explain in the comments to this response

5 0
3 years ago
I don't understand this very much, but if someone could give me an explanation, that would be appreciated! ×·×∡
Rama09 [41]

Answer:

<em>119.0 cm²</em>

Step-by-step explanation:

What is surface area

It is the area of the outside part of anything. Surface area is also called total surface area.

As we can see from the pyramid, it has a square base. How do I know that it is a square base, is by seeing the dimensions of the base, which are 6.4 cm by 6.4 cm in this pyramid. And we already know from basic Geometry that a square has 4 equal sides. So we call it a square pyramid.

So to find the total surface area of this square pyramid, we need the area of the 4 triangular faces and the area of the square base.

So t.s.a of the pyramid = 4 × Area of each triangular face + Area of the square base.

So, total surface area = Area of square base + Area of the four triangular faces.

     <em>total surface area</em> = (<em>length²) + (</em>4 × \frac{1}{2} × <em>base × height)</em>

<em>      t</em><em>otal surface area =</em><em> </em>(6.4 × 6.4) + (4 × \frac{1}{2} × 6.4 × 6.1)

     <em>total surface area = 40.96 + 78.08</em>

<em>      total surface area = 119.04 cm² ≈ 119.0 cm² (to the nearest tenth) (Answer)</em>

5 0
3 years ago
Read 2 more answers
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