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4 years ago

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An NMS stock is currently quoted at $15.20 Bid - $15.40 Ask. A customer wishes to place a limit order to buy 100 shares of the s

tock at $15.211. The registered representative should:

1 answer:

Tasya [4]4 years ago

4 0

Answer:

Step-by-step explanation:

Have enou space

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Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure

borishaifa [10]

Answer:

The directional derivate is given by: $D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}$

Step-by-step explanation:

The directional derivative at point (x,y) is given by:

$D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b$

In which a is the x component of the unit vector and b is the y component of the unit vector.

Vector:

We are given the following vector: $v = (3,1)$

Its modulus is given by: $\sqrt{3^2 + 1^2} = \sqrt{10}$

The unit vector is given by each component divided by it's modulus. So

$v_u = (\frac{3}{\sqrt{10}}, \frac{1}{\sqrt{10}})$

This means that $a = \frac{3}{\sqrt{10}}, b = \frac{1}{\sqrt{10}}$

Partial derivatives:

$f(x,y) = \ln{(2 + 3x^2 + 3y^2)}$

So

$f_x(x,y) = \frac{6x}{\ln{(2 + 3x^2 + 3y^2)}}$

$f_x(1,-2) = \frac{6(1)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = \frac{6}{\ln{17}}$

$f_y(x,y) = \frac{6y}{\ln{(2 + 3x^2 + 3y^2)}}$

$f_y(1,-2) = \frac{6(-2)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = -\frac{12}{\ln{17}}$

Directional derivative:

$D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b$

$D_{u}(x,y) = \frac{6}{\ln{17}}\times\frac{3}{\sqrt{10}}-\frac{12}{\ln{17}}\times\frac{1}{\sqrt{10}}$

$D_{u}(x,y) = \frac{18}{\ln{17}\sqrt{10}} - \frac{12}{\ln{17}\sqrt{10}}[tex][tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}$

The directional derivate is given by: $D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}$

8 0

3 years ago

The sum of the first and third of three consecutive even integers is 136. find the three even integers.

tatyana61 [14]

Based on your problem, you only have one given. So, you can't make an equation for this because there are not limits to the equation. The only thing that you know is that the three numbers are consecutive even integers. My way of solution for this is trial-and-error. However, it's really quite easy.

For example: 42 + 46 = 88. I have to increase the numbers more to reach 136. Suppose: 82 + 86 = 168. That exceeded 136. So, it must be between 46 and 82. Suppose again: 66 + 70 = 136. Therefore, the sequence of the consecutive even integers are 66, 68, and 70.

5 0

4 years ago

Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can

VikaD [51]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

B = { α , β , γ } Is the following statement True? B 2 ⊆ B 3

Verdich [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

How do you compare 1/5 and 0.210

strojnjashka [21]

Convert them into the same form. 1/5 is equal to 2/10, or .2. .21 is clearly slightly bigger than .2

8 0

3 years ago