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4 years ago

14

Every day, Bert spends an hour commuting to and from his office, driving at an average speed of 50 mph and taking the same route

each way. How far does Bert live from his office?

1 answer:

Ira Lisetskai [31]4 years ago

7 0

About 45 miles and if you have options choose the closest to45 miles

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For each of the following vector fields F , decide whether it is conservative or not by computing the appropriate first order pa

Mazyrski [523]

Answer:

(a)

Conservative

(b)

Not conservative

(c)

Conservative.

Step-by-step explanation:

(a)

$\mathbf{F}(x,y) = (-10x+7y,7x+6y)$

Notice that

$\frac{\partial\mathbf{F}_y}{\partial x} = 7$

and

$\frac{\partial\mathbf{F}_x}{\partial y} = 7$

Therefore the field is conservative.

(b)

Notice that

$\mathbf{F}(x,y) = (-5y,-4x)$

and

$\frac{\partial\mathbf{F}_y}{\partial x} = -4$

but

$\frac{\partial\mathbf{F}_x}{\partial y} = -5$

Therefore is not conservative.

(c)

Notice that

To prove that the vector field is conservative you have to compute the curl of the vector field and you would get that.

$\mathbf{F}(x,y,z) = (-5x,-4y,1)$

$\nabla \times \mathbf{F} = (0,0,0)$

Therefore your vector field is conservative.

6 0

3 years ago

Given the function f(x) = 2/3 * x - 5 , evaluate f(9)

lora16 [44]

Answer:

1

Step-by-step explanation:

3 0

4 years ago

Help please.<br><br> r/5 - 6 = -1<br> A) r = 1 <br> B) r = 5 <br> C) r = 10 <br> D) r = 25

statuscvo [17]

Hello :),

$\frac{r}{5}-6=-1 \\ \\ \frac{r}{5} =-1+6=5 \\ \\ r=5*5=25$ .

5 0

4 years ago

Solve the literal equation 5a + 10b = 2b - 4a for a.

UkoKoshka [18]

Answer:

A=-8b/9

Step-by-step explanation:

4 0

4 years ago

I need help with this question

Sophie [7]

Answer:

C

Step-by-step explanation:

using the pythagorean theorem,

a²+b²=c²

8²+7²=c²

64+49=c²

113=c²

$\sqrt{113 = \sqrt{c}² }$

10.63=c

7 0

3 years ago