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ioda
3 years ago
7

0.6 rounded to the nearest tenth

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

1.0

Step-by-step explanation:

The 6 is bigger than 5, so that bups the number up to 1.0.

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Find the directional derivative of f at the given point in the direction indicated by the angle θ.
anygoal [31]

Answer:

Directional derivative = 1/√2

Step-by-step explanation:

We are given f(x, y) = y cos(xy)

Now, we know that;

∇f(x, y) = ycos xy

Thus, applying that to the question, we have;

∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]

At coordinates (0,1),we now have;

∇f(0, 1) = [-1²•sin0, (cos 0) - 0]

∇f(0, 1) = [0, 1]

Now, unit vector indicated by the angle θ is given as; u = [cos θ, sin θ]

From the question, since θ = π/4, thus

u = [cos π/4, sin π/4]

Cos π/4 in surd form is; 1/√2

Also, sin π/4 in surd form is; 1/√2

So, u = [1/√2, 1/√2]

Directional derivative = [∇f(0, 1)] • u

= [0, 1] × [1/√2, 1/√2] = 0 + 1/√2 = 1/√2

4 0
3 years ago
Classify the system of equations. -x=1-y -1+y=x+2. coincident, intersecting, parallel
jok3333 [9.3K]
X^y#q1 is the answer that
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3 years ago
Two angles are supplementary if their sun is 180. The larger angle measures five degrees more than four times the measures of a
Jet001 [13]

Answer:

The smaller angle is 35 and the larger one is 145.

Step-by-step explanation:

In order to find this, we need to express the larger angle in terms of the smaller angle (x).

4x + 5 = large angle.

Now that we have this, we can add them together and set equal to 180.

x + (4x + 5) = 180

5x + 5 = 180

5x = 175

x = 35

Now that we have the value of the smaller angle, we can plug in to get the larger angle.

y = 4x + 5

y = 4(35) + 5

y = 140 + 5

y = 145

3 0
3 years ago
Nick O’ Time, the plumber, charges $30 per hour. His brother Ivan, the plumber’s helper, charges $20 per hour. Nick starts worki
lianna [129]

Answer:

7 hours

They worked together for 7 hours ($350 + $120)

8 0
3 years ago
Angela was looking at 17 different colors to paint her bedroom. She liked about one fourth of the colors. About how many colors
dusya [7]

Answer:4.25, so about 4 or 5

Step-by-step explanation:

1/4 = x/17

-Cross multiply-

4*x = 1*17

4x = 17

-divide-

17/4 = x

x = 4.25

7 0
3 years ago
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