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yawa3891 [41]
2 years ago
7

Find the directional derivative of f at the given point in the direction indicated by the angle θ. (give your answer correct to

at least three decimal places.) f(x,y) = sin(x + 2y) (4, −2) θ = 3π/4
Mathematics
1 answer:
sladkih [1.3K]2 years ago
7 0

no rurio greob tryo yeu

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Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to
NeTakaya
Given that the steps are not shown, I am going to show you all the rigtht steps in detail and so you will be able to compare and tell which step from you list contains an error:

1) Traslation into algebraic language:

<span>“three less than the quotient of a number squared and nine, increased by eight”

3 - (n^2) / 9

2) Evaluate it when n = 6 (replace the value of n)

3 - (3^2) / 9

3) solve the parenthesis

3 - 9/9

4) divide 9/9

3 - 1

5) Subtract

2
</span>
Now you know all the steps and can tell which of the steps on the list is wrong.
7 0
2 years ago
Which statements about the graph of the function f(x) = 2x^2– x – 6 are true? Select two options.
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

Please, share the answer options next time.

1)  f(x) = 2x^2– x – 6 is a quadratic function.  

2) The coefficients of this polynomial are a = 2, b = -1 and c = -6

2)  Its graph opens up.

3)  The x-value of the axis of symmetry and the vertex is x = -b / (2a), which here comes out to x = -(-1) / [2(2)], or x = 1/4

4) the y coordinate of the vertex is f(1/4), or -6 1/8

5) The vertex is at (1/4, -6 1/8)

6)  The y-intercept is at f(0):  2(0)^2 - 0 - 6 = -6  =>  (0, -6)

3 0
2 years ago
Read 2 more answers
Two cars are on the same straight road. Car A moves east at 55 mph and sounds its horn at 625 Hz. Rank from highest to lowest th
Fantom [35]

Answer:

1. Car B is moving east at 70MPh and is in from of car A

2.car B is moving west at 70 mph and is behind car A

Step-by-step explanation:

Use the cardinal point system to evaluate the problem first

8 0
2 years ago
An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the A
Ksivusya [100]

Answer:

0.7 ; 0.65 ; 0.115

Step-by-step explanation:

Step-by-step explanation:

P(A) = 0.5 ; P(B) = 0.3

P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5

1.)

Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.

Probability that European project isn't successful;

P(B') = 1 - P(B) = 1 - 0.3 = 0.7

2.)

Probability that atleast one of the 2 projects is successful :

P(AUB) = P(A) + P(B) - P(AnB)

P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15

P(AUB) = 0.5 + 0.3 - 0.15 = 0.65

3.)

Probability that only the Asian project is successful, given that atleast one of the two projects is successful :

[P(A) - P(AnB)] ÷ P(AuB)

[0.5 * 0.15] ÷ 0.65

= 0.075 ÷ 0.65

= 0.1153846

= 0.115

6 0
2 years ago
While shopping for clothes Tracy spent $38 less than three times what Daniel spent right and solve an equation to find how much
Gnom [1K]

Answer:

y=3x-38

Step-by-step explanation:

We know that Tracy spent $38 in less than 3 times than what Daniel spent. Given this information we can put our eqaution together.

Y=3x-38

Hope this helps! :)

6 0
2 years ago
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