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3 years ago

9

If angle 4 is 22 degrees, what is the measure of arc FE?

1 answer:

hoa [83]3 years ago

8 0

180 Degrees - 22 Degrees = 158 Degrees

That should be your answer.

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Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

7 0

3 years ago

Read 2 more answers

What divided by what equals 18

deff fn [24]

18/1 36/2 72/4 ...and many more....

8 0

2 years ago

Read 2 more answers

Which one is better.

Firlakuza [10]

Answer:

pick 1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Tao uses elimination to solve the following system of linear equations. -2x+4y=162x+2y=8Which ordered pair is a solution to the

Alex_Xolod [135]

The correct answer is the first option.

If you want to use elimination, you can sum the two equations for example, so that the x's simplify:

$(-2x+4y)+(2x+2y) = 16+8$

$6y = 24$

$y = 4$

Plug this value for y in one of the equations to derive the value of x:

$2x+2y=8 \implies 2x + 8 = 8 \implies x = 0$

So, the solution is $(x,y) = (0,4)$

8 0

3 years ago

9. Choose the correct answer.

denpristay [2]

Answer:

what the h3ll type of question is this ?-

Step-by-step explanation:

your never gonna get one because you dont have any so the probability is 0%.

6 0

3 years ago