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jok3333 [9.3K]
3 years ago
6

15 points. Need help with this math question

Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0

Answer:

0.0098 < 0.01935 < 0.02  < 0.14999 < 0.1589

liraira [26]3 years ago
3 0

Answer:

0.0098

0.01935

0.02

.14999

0.1589

It's just like whole numbers!

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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
Carson is going on a work trip. He will get reimbursed for his expenses for
aleksley [76]

The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Carson is going on a work trip. He will get reimbursed for his expenses for driving his own car.

He will get a flat rate of 30, plus $1.25 per mile (m) he drives.

The equation formed;

R = 30 + 1.25m

The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

8 0
2 years ago
What is the answer ton-3(3x-8)=27
ANTONII [103]

Answer:

x=-1/3

Step-by-step explanation:

Distribute:

-9x+24=27

Isolate the Variable:

-9x=3

x=-1/3

4 0
3 years ago
HELP ASAP PLEASE WILL MARK BRAINIEST
Rom4ik [11]

Answer:

The correct answer is option A.

Step-by-step explanation:

Hi! Nice to meet you and have a great day.

8 0
3 years ago
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Alan takes 12 minutes to jog 1 kilometer. How many seconds does Alan take to jog 1 kilometer?
Brilliant_brown [7]
720 because  60 multiplied by 12 = 720 hope i helped
8 0
3 years ago
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