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artcher [175]
3 years ago
5

Consider the graph of f(x) given below.

Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0
Answer: A. g (x) = f (x) + 4
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Elena and Diego each wrote an equation to represent the diagram. Elena wrote 35+w+41=180. Diego wrote 35+w=180.which equation do
Masteriza [31]

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Step-by-step explanation:

i need to see the diagram, to help you

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Determine whether a given set of vectors spans a vector space
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by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .
konstantin123 [22]

Answer:

\frac{1}{44} \approx0.0227\hspace{3}units

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

D_uf(x,y,z)=\nabla f\bullet u

\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector

The gradient of f is:

\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle

The unit vector can be found as:

u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle

The directional derivative at the point is:

D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units

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3 years ago
Three fewer than one fourth of x is 12 write an equation to represent the description
Kazeer [188]

Answer:

3-1/4x=12

Step-by-step explanation:

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I need to answer these questions ASAP! Will give brainiest and helpful!
garik1379 [7]
8) 1.40 per ounce
9) 3.14 for 1 pound
10) K = t/c
Hope all this helps you out.
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3 years ago
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