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DanielleElmas [232]
3 years ago
10

Q4.A/Find the linearization L(x, y) of the function f(x, y) = (x + y + 2)² at p. = (1,2)

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

Answer:

Find the linearization L(x,y) of the function at each point. f(x,y) = x2 + y2 + 1 a. (4,0) b. (2,0) a. L(x,y) = Find the linearization L(x,y,z) of the function f(x,y,z) = 1x2 + y2 +z2 at the points (7,0,0), (3,4,0), and (4,4,7). The linearization of f(x,y,z) at (7,0,0) is L(x,y,z)= (Type an exact answer, using radicals as needed.)

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Which of the following equations best models the data plotted below?
ICE Princess25 [194]
The key with these problems is to find which function has the closest y-intercept to the graph, and then try to figure out which one best approximates the slope. 
Here are our options:
<span>A. y = x + 4 
B. y = 4x + 9 
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Which has the closest approximation of the y-intercept? 
The y-intercept is not directly given, but we can assume it is less than 10. 
That leaves us with A and B.

Which has the closest approximation of the slope? 
The graph, on average, seems to move up about 60 and over about 15. 
Slope = rise/run = 60/15 = 4. Although the slope isn't exactly 4, it's much closer to 4 than 1, which is slope for option A.

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6 0
3 years ago
An airplane left Atlanta with 20 empty seats. If the airplane was 75% full, what was the total number of seats on the airplane?
Lana71 [14]
The answer is 80.
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4 0
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A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the
tamaranim1 [39]

Answer:

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

Step-by-step explanation:

From the given information:

Let consider  x to be the of volume 40% solution

therefore the volume of 5% is said to be:

10 L= 40% solution volume + 5% solution volume

10 L= (x + 5%) solution volume

making 5% solution volume the subject; we have

5% solution volume= 10 L - x

To estimate the value of the volume, we now have:

Volume  of 20% × Concentration of  20%= (Volume of 40%  × concentration40%) + (Volume of 5% × Concentration of 5% )

∴

10L  ×  20%= (x) L × 35% + 10 L × 5%

(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15

x L = 10L \times \dfrac{15}{35}

x = 4.28 L

x \simeq 4.3L

∴

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

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tresset_1 [31]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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