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krek1111 [17]
2 years ago
15

For what values of k

Mathematics
1 answer:
sergey [27]2 years ago
3 0

If y = cos(kt), then its first two derivatives are

y' = -k sin(kt)

y'' = -k² cos(kt)

Substituting y and y'' into 49y'' = -16y gives

-49k² cos(kt) = -15 cos(kt)

⇒   49k² = 15

⇒   k² = 15/49

⇒   k = ±√15/7

Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.

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PilotLPTM [1.2K]

Answer:

B

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Step-by-step explanation:

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3 years ago
What is an equation of the line that passes through the point (-5,3)(−5,3) and is parallel to the line 3x-5y=303x−5y=30?
rosijanka [135]

The equation of the line which passes through the point (-5, 3) and is parallel to the equation 3x -5y = 30 is; 3x -5y = 30.

<h3>What is the equation of the line?</h3>

Since the line is parallel to the given line; 3x -5y = 30 whose slope is; 3/5.

Hence, since the two lines have equal slopes;

3/5 = (y-3)/(x-(-5))

3/5 = (y-3)/(x+5)

5y -15 = 3x +15

3x -5y = 30

Read more on equation of a line;

brainly.com/question/1461621

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3 0
1 year ago
The square rootof which number is rational a7. b 1.96. c. 0.04. d. 13​
artcher [175]

Answer:

B and C

Step-by-step explanation:

We need to find which one of these numbers is a perfect square. We know 7 and 13 can be eliminated since they're prime numbers so they can't be perfect squares. B and C are both perfect squares so that's the answer.

3 0
3 years ago
Read 2 more answers
Me pueden ayudar en esta ecuación bicuadratica, porfaaa: 9p⁴=—12x²—6/9
Dominik [7]

Answer:

x = -1.129i, -0.241i, 0.241i o 1.129i.

Tenga en cuenta que i = √(-1), i es el representante de un número complejo.

x = -1.129i, -0.241i, 0.241i or 1.129i.

Note that i = √(-1), i is the representative of a complex number.

Step-by-step explanation:

Pregunta correcta

¿Me pueden ayudar en esta ecuación biquadratica, por favor: 9x⁴ = —12x² - 6/9

Solución

9x⁴ = —12x² - 6/9

9x⁴ + 12x² + 6/9 = 0

multiplicar por 9

81x⁴ + 108x² + 6 = 0

Deje x² = y, entonces x⁴ = y²

81y² + 108y + 6 = 0

Resolviendo esta ecuación cuadrática

y = -0.0581 o y = -1.275

Recordemos, x² = y

x = ±√y

Si y = -0.0581

x = ± √(-0.0581) = ± 0.241i = 0.241i o -0.241i

Si y = -1.275

x = ± √(-1.275) = ± 1.129i = 1.129i o -1.129i

x = -1.129i, -0.241i, 0.241i o 1.129i.

Tenga en cuenta que i = √(-1), i es el representante de un número complejo.

¡¡¡Espero que esto ayude!!!

Correct Question

Can you help me in this biquadratic equation, please: 9x⁴ = —12x² — 6/9

Solution

9x⁴ = —12x² — 6/9

9x⁴ + 12x² + 6/9 = 0

multiply through by 9

81x⁴ + 108x² + 6 = 0

Let x² = y, then x⁴ = y²

81y² + 108y + 6 = 0

Solving this quadratic equation

y = -0.0581 or y = -1.275

Recall, x² = y

x = ±√y

If y = 0.0581

x = ±√(-0.0581) = ±0.241

If y = -1.275

x = ± √(-1.275) = ± 1.129i = 1.129i or -1.129i

Hence x = -1.129i, -0.241i, 0.241i or 1.129i.

Note that i = √(-1), i is the representative of a complex number.

Hope this Helps!!

5 0
3 years ago
Can somebody help me? Thanks you!
natima [27]

Answer: it’s B

Step-by-step explanation: I’m 100% sure hope this helps :D

8 0
3 years ago
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