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3 years ago

Help me quickly please

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

7 0

Independent, good luck and hope this helped!

Luda [366]3 years ago

5 0

Answer:

independent

Step-by-step explanation:

because they are mutually exclusive sets and

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Solve the system by the method of your choice x=3y-6,2x-6y=-12

igor_vitrenko [27]

The "system" of equations can't be solved for (x, y), because there's no "system" of equations given. There's really only one equation.

Either of these two equations can be massaged to look exactly like the other one. And if you graph both equations, you find that they're both the same line on the graph.

ANY point on the line is a solution to both equations ... and we all know how many different points there are on a line.

8 0

3 years ago

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

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2 years ago

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liq [111]

Answer:

$x=55$

Step-by-step explanation:

The given equation is $\sqrt{x-6}+3=10$

Group similar terms to get:

$\sqrt{x-6}=10-3$

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Square both sides to obtain:

$x-6=7^2$

$x-6=49$

Add 6 to both sides

$x=49+6$

Simplify the right hand side to obtain;

$x=55$

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3 years ago

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antiseptic1488 [7]

Could you please express this question better, I don't seem to understand the objective.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago