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tensa zangetsu [6.8K]
2 years ago
5

Which expression is equivalent to the expression shown?

Mathematics
1 answer:
Oxana [17]2 years ago
6 0

Answer:

the given expression is equivalent to the

Step-by-step explanation:

{3}^{7}  \times  \frac{1}{ {3}^{4} }

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Find the directional derivative of f at the given point in the direction indicated by the angle θ.
anygoal [31]

Answer:

Directional derivative = 1/√2

Step-by-step explanation:

We are given f(x, y) = y cos(xy)

Now, we know that;

∇f(x, y) = ycos xy

Thus, applying that to the question, we have;

∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]

At coordinates (0,1),we now have;

∇f(0, 1) = [-1²•sin0, (cos 0) - 0]

∇f(0, 1) = [0, 1]

Now, unit vector indicated by the angle θ is given as; u = [cos θ, sin θ]

From the question, since θ = π/4, thus

u = [cos π/4, sin π/4]

Cos π/4 in surd form is; 1/√2

Also, sin π/4 in surd form is; 1/√2

So, u = [1/√2, 1/√2]

Directional derivative = [∇f(0, 1)] • u

= [0, 1] × [1/√2, 1/√2] = 0 + 1/√2 = 1/√2

4 0
3 years ago
Which deposit earns more interest, $250 at 6% per year, or $400 at 4% per year? show how you know.
cestrela7 [59]

Answer:

$400 at 4% per year

Step-by-step explanation:

because then you put 400 and use the formula of interest you can see which gives bigger

7 0
2 years ago
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Michelle wants to buy a new phone. There are several stores that sell the phone she wants, and each store offers a different dis
frosja888 [35]

Answer:

To answer this question, i will need to see the actual graph.

Step-by-step explanation:

7 0
3 years ago
Clayton and Olivia played a computer game.Olivia final score was 2306421 and Clayton was 2302972.show these numbers on a number
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(I cannot be the number line bit sorry)
When you're finding which one is greater, you can either write these out in words, or you can put them next to eachother.
In words- Olivia: Two million, three hundred and six thousand, four hundred and twenty one. (2306421)
Clayton- Two million, three hundred and two thousand, nine hundred and seventy two. (2302972)

From writing them out, you can see that Olivia's score has 'three hundred and six thousands', where as, Clayton has 'three hundred and two thousand'

Therefore, Olivia got the higher score.
Hope this helps :) 
3 0
3 years ago
At a candy store, Jenny bought 1 pound of jelly beans and 5 pounds of gummy worms for $41. Meanwhile, Ozzie bought 6 pounds of j
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91 dollars? I did not understand the question
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