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slava [35]
3 years ago
8

Simplify 4x(3x-7)-19x^2)-19x^2

Mathematics
1 answer:
Sedbober [7]3 years ago
3 0
The answer for this problem is
: -7(x^2+4)
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F(b)=4-5b, when b is 8
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Answer:

36

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Without actually solving the given differential equation, find the minimum radius of convergence R of power series solutions abo
MakcuM [25]

Answer:

R1= 10.04

R2=10

Step-by-step explanation:

The differential equation is given by:

(x^2 - 2x + 26)y'' + xy' - 4y = 0

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The singularity points are the roots of the polynomial that multiplies the second derivative of y. Thus, you have:

x^2 - 2x + 26=0\\\\x_{1,2}=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(26)}}{2}=1\pm 10i

the roots are in the complex plane. The radius of convergence is the distance between the points z1=0+0i, z2=1+0i (x=0 and x=1, respectively), in the complex plane, that is:

R_1=|z_1-x_1|=\sqrt{1^2+10^2}=\sqrt{101}=10.04\\\\R_2=|z_2-x_1|=\sqrt{0^2+10^2}=\sqrt{100}=10

6 0
4 years ago
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