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RUDIKE [14]
3 years ago
11

Suppose that the directional derivatives of f sx, yd are known at a given point in two nonparallel directions given by unit vect

ors u and v. Is it possible to find =f at this point? If so, how would you do it?

Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

Step-by-step explanation:

Application of vector notation comes into play here, by using the directional derivatives of f(x,y) at a given point in two non - parallel directions which are given by their respective units u and v, also for both Duf and Dvf are given.

The detailed analysis is carefully shown step by step in the attachment.

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MA_775_DIABLO [31]

The inequality is given as,

7x+2y>-26

Consider that any ordered pair (x,y) is said to be the solution of the inequality if the ordered pair gives a true result when substituted in the inequality.

Consider the ordered pair (4,-9),

\begin{gathered} 7(4)+2(-9)>-26 \\ 28-18>-26 \\ 10>-26 \end{gathered}

Clearly, the result is true. So it can be concluded that (4,-9) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (4,-9).

Consider the ordered pair (3,4),

\begin{gathered} 7(3)+2(4)>-26 \\ 21+8>-26 \\ 29>-26 \end{gathered}

Clearly, the result is true. So it can be concluded that (3,4) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (3,4).

Consider the ordered pair (-4,0),

\begin{gathered} 7(-4)+2(0)>-26 \\ -28+0>-26 \\ -28>-26 \end{gathered}

Clearly, the result is false as -28 is not actually greater than -26.

So it can be concluded that the ordered pair (-4,0) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-4,0).

Consider the last ordered pair (-6,8),

\begin{gathered} 7(-6)+2(8)>-26 \\ -42+16>-26 \\ -26>-26 \end{gathered}

Note that the numbers on both sides of the inequality are identical. So there should be the symbol of equality, not inequality. So, it can be concluded that this ordered pair (-6,8) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-6,8).

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Answer:

(x, y) -- [X-4, Y+6]

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10 + 20 = 30 total balls.

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Then there are 28 balls left and 19 yellow left, so picking another yellow would be 19/28

The probability of picking red first then two yellow = 1/3 x 20/29 x 19/28 = 95/609

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