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erma4kov [3.2K]
3 years ago
15

a. Compute the gradient of ƒ and evaluate it at P. b. Find the unit vector in the direction of maximum increase of ƒ at P. c. Fi

nd the rate of change of the function in the direction of maximum increase at P. d. Find the directional derivative at P in the direction of the given vector.

Mathematics
1 answer:
DiKsa [7]3 years ago
6 0

Answer:

The question has some details missing. Here is the given function ; f(x,y,z) = 1 + 4xyz at point P = (1,-1,-1)

Step-by-step explanation:

The detailed steps and appropriate calculation is as shown in the attached file.

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8.
Anni [7]

i think the question is not correct write it again or attach the pic ic

6 0
3 years ago
Jane cycles 27km at 12m/h. How long does she take?
emmainna [20.7K]
Every hour at 12km/h I would go 12km. Simple.

The distance traveled in km is equal to 12 times how many hours you go.

If I go 27 km, I can go in reverse and divide by 12 to get 2.25 hours.

A quarter of an hour is 15 minutes, so the answer would be 2 hours and 15 minutes.

6 0
3 years ago
Y = -x^2 + 4x<br><br> quadratic formula
marin [14]

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 2 , 4 )

Focus:  

( 2 , 15 /4 )

Axis of Symmetry:  

x = 2

Directrix:  

y = 17 /4

x              y

0             0

1              3

2             4

3             3

4             0

To find the x-intercept, substitute in  

0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s):  ( 0 , 0 ) , ( − 4 , 0 )

y-intercept(s):  ( 0 , 0 )

Step-by-step explanation:

4 0
3 years ago
Find P(C|Y) from the information in the table.<br><br><br><br><br> To the nearest tenth, P(C|Y) =
Likurg_2 [28]
P(CIY)=[P((C and Y)]/P(Y)
P(C)=40/146=20/73
P(Y)=30/146=15/73
Thus:
P(C and Y)=15/146=
Hence:
P(CIY)=(15/146)/(15/73)=1/2
4 0
3 years ago
Read 2 more answers
How do I find the X? (sorry the triangle is really small-)
Ber [7]

Answer:

  C.  98

Step-by-step explanation:

The sum of angles interior to a triangle is 180°, so you have ...

  x + 38° + 44° = 180° . . . the sum of the angles (this is your equation)

  x + 82° = 180° . . . . . . . . collect terms

  x = 180° -82° . . . . . . . . . subtract 82° from both sides of the equation

  x = 98° . . . . . . . . . . . . . . do the arithmetic

_____

<em>Comment on the equation</em>

The relations you learn about in math and geometry can all be translated to equations. When you learn "something" <em>is</em> "something else", anytime you have "something", you can always write the equation ...

  something = (something else)

When you find out "the sum of angles" is "180 degrees", that means you can write the equation ...

  (sum of angles) = 180°

Of course, you find a sum by adding things up. In this case, you're adding up the values of the angles: x, 38°, 44°. The next step is to use the rules of algebra to solve the equation for x.

3 0
3 years ago
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