Which problem Can we solve with 6x6

avanturin [10]

By direct substitution and simplification, the trigonometric function z = cos (2 · x + 3 · y) represents a solution of the partial differential equation $\frac{\partial^{2} t}{\partial x^{2}} - \frac{\partial^{2} t}{\partial y^{2}} = 5\cdot z$ .

<h3>How to analyze a differential equation</h3>

Differential equations are expressions that involve derivatives. In this question we must prove that a given expression is a solution of a differential equation, that is, substituting the variables and see if the equivalence is conserved.

If we know that $z = \cos (2\cdot x + 3\cdot y)$ and $\frac{\partial^{2} t}{\partial x^{2}} - \frac{\partial^{2} t}{\partial y^{2}} = 5\cdot z$ , then we conclude that:

$\frac{\partial t}{\partial x} = -2\cdot \sin (2\cdot x + 3\cdot y)$

$\frac{\partial^{2} t}{\partial x^{2}} = - 4 \cdot \cos (2\cdot x + 3\cdot y)$

$\frac{\partial t}{\partial y} = - 3 \cdot \sin (2\cdot x + 3\cdot y)$

$\frac{\partial^{2} t}{\partial y^{2}} = - 9 \cdot \cos (2\cdot x + 3\cdot y)$

$- 4\cdot \cos (2\cdot x + 3\cdot y) + 9\cdot \cos (2\cdot x + 3\cdot y) = 5 \cdot \cos (2\cdot x + 3\cdot y) = 5\cdot z$

By direct substitution and simplification, the trigonometric function z = cos (2 · x + 3 · y) represents a solution of the partial differential equation $\frac{\partial^{2} t}{\partial x^{2}} - \frac{\partial^{2} t}{\partial y^{2}} = 5\cdot z$ .

To learn more on differential equations: brainly.com/question/14620493

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3 0

1 year ago

I’m pretty sure the correct answer is C. but I’d like to double check.

kobusy [5.1K]

4x + 1 → C

(f + g)(x) = f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1

5 0

2 years ago

Answer the photo below thanks Please explain your answer

Norma-Jean [14]

Answer:

A = 1863

Step-by-step explanation:

There are a few ways you could do this but I will do the one I know best.

Keep in mind the area is the L(enght x W(idth) = A(rea)

There are two long rectangles if you cut off the square in the middle so find the area of those two first.

31 x 23 = 713

713 x 2 = 1426 (Did this to get the area for both of them.

Now find the area of the square.

23 x 19 = 437

The you would add them all up together to get 1426 + 437 = 1863

Hope this helps :)

8 0

2 years ago

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A new Youth activity center is being built in Hadleyville . The perimeter of the rectangular playing field is 262 yards. The len

Alinara [238K]

Answer:

irdk

Step-by-step explanation:

8 0

2 years ago

Solve this inequality: 20 +0.75m < 65

allsm [11]

Answer:

15

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers