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maks197457 [2]
3 years ago
7

What was its average speed in miles per hour if a plane flew 1898.4 miles in 5.6 hours?

Mathematics
1 answer:
Stells [14]3 years ago
3 0
1898.4mi/5.6hr = 339mi/hr
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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

The minimum radius of convergence is given by the distance from the point x=a, to the nearest singularity points of the differential equation.

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
If the pttern in the table is extended to represent more equivalent ratios fo 2:6,which pair of numbers would be in the columns?
Mazyrski [523]

Answer:

hahahahahahahaha iwiwisis

8 0
3 years ago
What is the product (7x^2y^3)(3x^5y^8)
liraira [26]

Answer:

21x^7y^11

hope this helps, if so hit that thanks button ;D

Step-by-step explanation:


7 0
4 years ago
Read 2 more answers
Which measure is cloest to the length of a side of a square that has an area of 221 square feet? 11.0 ft 14.69 ft 16.4 ft 55.2 f
Degger [83]

Answer:

14.69 ft.

Step-by-step explanation:

Area of a square:

A= a^2

Given:

A=221 ft^{2}

Solve:

221= a^2

\sqrt{221}=\sqrt{a}^2

a is approx. equal to 14.87 ft.

which is 14.69 ft.

8 0
3 years ago
Find the exact value of 75(degrees); leave answer in simplest radical form. Enter terms under the radical in number order.
podryga [215]

Answer:

sin75º=sin(30)º+45º)

=sin 30 cos 45+cos 30 sin 45

=1/2*√2/2+√3/2*√2/2

=√2/4+√6/4

=(√2+√6)/4

Check with calculator:

sin 75º≈0.9659

exact value=(√2+√6)/4≈0.9659

5 0
4 years ago
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