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2 years ago

Pls help i really need to get this done

Mathematics

2 answers:

prisoha [69]2 years ago

8 0

The answer is “C”. Have a good day!

nataly862011 [7]2 years ago

6 0

The answer to this is c

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find an equation of the tangent plane to the given parametric surface at the specified point. x = u v, y = 2u2, z = u − v; (2, 2

Alexxandr [17]

The surface is parameterized by

$\vec s(u,v) = x(u, v) \, \vec\imath + y(u, v) \, \vec\jmath + z(u, v)) \, \vec k$

and the normal to the surface is given by the cross product of the partial derivatives of $\vec s$ :

$\vec n = \dfrac{\partial \vec s}{\partial u} \times \dfrac{\partial \vec s}{\partial v}$

It looks like you're given

$\begin{cases}x(u, v) = u + v\\y(u, v) = 2u^2\\z(u, v) = u - v\end{cases}$

Then the normal vector is

$\vec n = \left(\vec\imath + 4u \, \vec\jmath + \vec k\right) \times \left(\vec \imath - \vec k\right) = -4u\,\vec\imath + 2 \,\vec\jmath - 4u\,\vec k$

Now, the point (2, 2, 0) corresponds to u and v such that

$\begin{cases}u + v = 2\\2u^2 = 2\\u - v = 0\end{cases}$

and solving gives $u = v = 1$ , so the normal vector at the point we care about is

$\vec n = -4\,\vec\imath+2\,\vec\jmath-4\,\vec k$

Then the equation of the tangent plane is

$\left(-4\,\vec\imath + 2\,\vec\jmath - 4\,\vec k\right) \cdot \left((x-2)\,\vec\imath + (y-2)\,\vec\jmath + (z-0)\,\vec k\right) = 0$

$-4(x-2) + 2(y-2) - 4z = 0$

$\boxed{2x - y + 2z = 2}$

6 0

2 years ago

ANSWER THIS THX 60 POINTS

Alchen [17]

Answer:

B. -7 + 8n

Step-by-step explanation:

-3.5(2 + -3n) + -2.5n = 0

(2 * -3.5 + -3n * -3.5) + -2.5n = 0

(-7 + 10.5n) + -2.5n = 0

0.5n + -2.5n = 8n

-7 + 8n

6 0

3 years ago

Read 2 more answers

Find the product (x + 9)( x - 4)

ioda

(X+9)(x-4)

=x(x-4)+9(x-4)

=x²-4x+9x-36

=x²+5x-36

3 0

3 years ago

Read 2 more answers

Graph at least four points from the rule y=2x+1

goldfiish [28.3K]

Y=2x1+2+1=5

is that right?

3 0

3 years ago

at a small private college with 800 students, 240 students receive some form of government-sponsored financial aid. find the pro

vazorg [7]

The probability is 7/10 or 70% that a randomly selected student does not receive some form of government-sponsored financial aid

Total number of students in the small private college = 800

Number of students who receive some form of government-sponsored financial aid = 240

Number of students who did not receive government-sponsored financial aid = 800 - 240 = 560

Computing the probability using the formula, we get the following:

The probability that a randomly selected student did not receive government-sponsored financial aid = Number of students who did not receive financial aid/Total number of students in the college

= 560/800 = 7/10 or 70%

Learn more about probability:

brainly.com/question/11234923

#SPJ4

3 0

1 year ago