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bearhunter [10]
3 years ago
12

The legend on a map states that

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0
11 inches
= 11 x 200 miles
= 2200 miles
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Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

4 0
3 years ago
Mark is baking cookies he needs 2/3 cup of flour for each batch of cookies if each batch represents 1/4 of the total numbers of
Lera25 [3.4K]

Answer: 2 2/3 cups of flour

Step-by-step explanation: If one batch represents 1/4 of the total number of cookies he needs, then it can be deduced that he needs four total batches. If it requires 2/3 cups of flour for each batch and he needs 4 batches, you would multiply 2/3 by 4 to get the answer.

2/3 × 4 = 2 2/3

3 0
3 years ago
Solve #2 pls I would appreciate and I will give brainliest answer as a reward
kirill [66]

Answer:

336

Step-by-step explanation:

Just get area of individual shapes and then add

7 0
3 years ago
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Solve the system of equations.
Helga [31]
The answer is x=1 y=-1 and z=1. If you plug in the variables you get
4-3+5 and that equals 6. So that’s the answer
7 0
2 years ago
The grid model expressed as a ratio of shaded squares to total squares is _____
fredd [130]

Answer:

1  = 25/50

2 =  1/2

3 = 0.50

4 = 50%

Step-by-step explanation:

i got it right on edg and i hope it helps :)

4 0
3 years ago
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