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Phantasy [73]
3 years ago
13

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. 
6 0
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
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8 0
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:

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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
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8 0
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

4 0
3 years ago
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