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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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Translate the phrase into a variable expression: twice the sum of a number and 5
DIA [1.3K]

Answer:

'Twice the sum of a number and 5' can be translated into variable expression such as:

  • 2(n + 5)

Step-by-step explanation:

Given the phrase

<em>Twice the sum of a number and 5</em>

First, let us breakdown the English Phrase

Let the number be = n

The sum of a number 'n' and 5 = n + 5

now, twice the sum of a number and 5 can be determined by multiplying (n+5) with 5.

Thus,

'<em>Twice the sum of a number and 5</em>' can be translated into variable expression such as:

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7 0
3 years ago
Find a number such that 10 less than two thirds the number is one fourth the number
Ivan

Answer:

the number is 24

Step-by-step explanation:

10 less than two thirds the number is one fourth the number

Let the unknown number be x

two third of the number is \frac{2}{3} x

10 less than two third the number becomes

\frac{2}{3}x-10

one fourth the number becomes \frac{1}{4}x

10 less than two thirds the number is one fourth the number

\frac{2}{3}x-10=\frac{1}{4}x

We need to solve for x

LCD is 3*4 = 12

Multiply the whole equation by 12

\frac{2*12}{3}x-10*12=\frac{1*12}{4}x

8x - 120 = 3x

add 120 on both sides

8x = 3x + 120

Subtract 3x on both sides

5x = 120

divide by 5 on both sides

x= 24




3 0
3 years ago
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