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3 years ago

Find the general solution of the given differential equation. y'' + 2y' + 5y = 3 sin 2t

Mathematics

1 answer:

atroni [7]3 years ago

8 0

Consider, pls, this option.
Please, change the design according to local requirements.

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Let f(x)=x2+10x+29 . What is the minimum value of the function?

OlgaM077 [116]

(-5, 4)

You can get this by finding the vertex at -b/2a for x value and plugging in to find the y value.

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4 years ago

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Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15.

nexus9112 [7]

2x-5=15
2x=20
x=10
the answer is B

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3 years ago

Add. (5x - 2y + 7) + (3x + y - 8)

Schach [20]

Answer:

$=8x-y-1$

Step-by-step explanation:

So we have the expression:

$(5x-2y+7)+(3x+y-8)$

Combine like terms:

$=(5x+3x)+(-2y+y)+(7-8)$

Add:

$=8x-y-1$

And we're done!

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3 years ago

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Three sets of data are given below. What is the

Tcecarenko [31]

The answer is C. 7
1.) take 8-(-3)
2.) 9-2
3.) 8-0
Then list the number in order least to greatest
-13 7 8
Find the middle number
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3 years ago

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo

anastassius [24]

Answer:

$a) f(x)=3x^{3}-6x^{2}-15x+30$

Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

$x_{1}=\sqrt{5}\:x_{2}=2$

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form $x'=\sqrt{a}+b$ then its conjugate $x''=\sqrt{a}-b$ . is also a root of this polynomial.

Therefore

$x_3=-\sqrt{5}$

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

$f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30$

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3 years ago

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