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borishaifa [10]
2 years ago
8

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p

arabolic cylinder y = 2x2
Mathematics
1 answer:
dolphi86 [110]2 years ago
7 0

The vector function is, r(t) =  \bold{ < t,2t^2,9t^2+4t^4 > }

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, z=9x^2+y^2

Second equation is of the parabolic cylinder, y=2x^2

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder,  y=2t^2.

Now substituting x and y into the equation of the paraboloid, we get,

z=9t^2+(2t^2)^2 = 9t^2+4t^4

Now the vector function, r(t) = <x, y, z>

So r(t) = \bold{ < t,2t^2,9t^2+4t^4 > }

Learn more about vector functions at brainly.com/question/28479805

#SPJ4

You might be interested in
Solve this inequality 5 x + 2 &lt; 32
Hatshy [7]

Answer:

Here is your answer:

5x + 2 < 32

solution:

5x+ 2 < 32

or, 5x < 32-2

or, 5x < 30

or, 5x < 30/2

or, 5x < 15

or, x < 15/3

or, x < 5

therefore, x < 5 <u>ans</u>

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>you</u></em>

7 0
3 years ago
Please help with both questions, thank you!
algol [13]

11) 3 (2x + 7) - 4 = 53 - 3x is the given

Then, we use distributive property and get:

6x + 21 - 4 = 53 - 3x

Next, we combine like terms

6x + 17 = 53 - 3x

Then, we use the addition property of equality to add 3x to both sides.

9x + 17 = 53

We then use the subtraction property of equality to subtract 17 from both sides.

9x = 36

Finally, we use the division property of equality to divide 36 by 9, which isolates x.

x = 4

So, (In order) you have the: Given, Distributive Property, Combine Like Terms, Addition Property of Equality, Subtraction Property of Equality, and Division Property of Equality.

12) Please Note: This is an inequality problem. Which means we do not use the properties of equality. We'd use the properties of order. Properties of order are specific to inequalities, as the properties of equality are specific to the equations. They do not cross. As for your paper, I'm not sure why it says to use the properties of equality. I will be using the properties of order.

-7 (3 + 8x) + 5x ≤ 1 - 62x is the given

-21 - 56x + 5x ≤ 1 - 62x is distributive property

We then combine like terms

-21 - 51x ≤ 1 - 62x

Next, we use subtraction property of order to subtract 1 from each side.

-22 - 51x ≤ -62x

Then, we add 51x to each siding using the addition property of order

-22 ≤ -11

Lastly, we use the division property of order to divide 11 from both sides, which then gives us:

2 ≥ x

It becomes a positive because we're dividing 2 negatives, and we also turn the sign because we're dividing by negatives.

In order: Given, Distributive Property, Combine Like Terms, Subtraction Property of Order, Addition Property of Order, and Division Property of Order.

 

5 0
3 years ago
The equation 2 x - 4 y = 7 is written in slope-intercept form. True False
Naily [24]

no it is not an intercept form because the y has to be by itself.

it should be in the form of y=mx+b

6 0
3 years ago
Could you help solve this for me
finlep [7]

Answer:

Bro

Step-by-step explanation:

No

5 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!
vazorg [7]
The graph shows that it’s on points level 2 and 5, add 2 and five it gives you seven and that’s number does not exist
8 0
3 years ago
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