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dedylja [7]
3 years ago
14

The polynomial 2x3y4-7x2y3 is what degree? 6 5 7 9

Mathematics
1 answer:
podryga [215]3 years ago
8 0

Answer:

7

Step-by-step explanation:

To find the degree of a polynomial you must find the term with the highest degree.

First, you must identify each term in the polynomial. In this problem there are two terms 2x^3 y^4, and -7x^2 y^3.

If there are multiple variables in the terms, like in this equation, you will add the exponents within the term.  

For the term 2x^3 y^4 you will add the exponents 3 and 4 (3+4=7). The sum of the exponents is 7 meaning this term has a degree of 7.

For the term -7x^2 y^3 you will add the exponents 2 and 3 (2+3=5). This term has a degree of 5.

Since the highest degree term is 7, the degree of polynomial is 7.

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Find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 4 and
Nadusha1986 [10]
Call the surface S; then the area of S is given by the surface integral

\displaystyle\iint_S\mathrm d\mathbf S

Parameterize the surface by

\mathbf r(u,v)=\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=u^2\cos^2v-u^2\sin^2v=u^2\cos2v\end{cases}

with 2\le u\le4 and 0\le v\le2\pi. The surface element is given by

\mathrm d\mathbf S=\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv
\mathrm d\mathbf S=u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv

So the area is

\displaystyle\iint_S\mathrm d\mathbf S=\int_{v=0}^{v=2\pi}\int_{u=2}^{u=4}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv
=\displaystyle2\pi\int_{w=17}^{w=65}\sqrt w\,\frac{\mathrm dw}8

where w=1+4u^2\implies\mathrm dw=8u\,\mathrm du

=\displaystyle\frac\pi4\frac23w^{3/2}\bigg|_{w=17}^{w=65}
=\dfrac\pi6\left(65^{3/2}-17^{3/2}\right)\approx237.69
8 0
3 years ago
-2x+5 &lt; 3<br>Someone explain it and solve pls​
Artist 52 [7]

Answer:

-2x+5<3

-2x<5-3

-2x<2

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6 0
3 years ago
Find the value of x in the figure.
horsena [70]

Answer:

x = 35

Step-by-step explanation:

First count how many interior angles we have here.

There are 6 interior angles.

so we then can determine the interior sum of the angles here.

Inside angle sum = 180*(6 - 2)  degrees  = 180*4 = 720 degrees

so

(4x - 5)+(4x - 3) + 118 +(3x+6) + (3x-3) + 117 = 720 degrees

8x - 8 + 118 + 6x + 3 + 117 = 720 degrees

14x -8 + 118 + 120 = 720 degrees

14x + 230 = 720

14x = 720 - 230

14x = 490

x = 35

7 0
3 years ago
8. Archie plotted the points on the graph below to show how the amount he owes for tuition decreases as the number of tuition pa
emmainna [20.7K]

Answer:c

Step-by-step explanation:

5 0
2 years ago
Lulu wants to get fit. She started with 50 laps a day and she intends to add 10 laps every week. Write a mathematical expression
Bumek [7]

The mathematical expression for the given statement is 50 + 10x

<h3>How to write a mathematical expression for this statement?</h3>

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So, we have:

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Evaluate

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Hence, the mathematical expression for the given statement is 50 + 10x

Read more about expressions at:

brainly.com/question/723406

#SPJ1

8 0
1 year ago
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