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4 years ago

13+4x>25 i need help please

Mathematics

1 answer:

Katena32 [7]4 years ago

5 0

Answer:

x>3

Step-by-step explanation:

13+4x>25

4x>12

x>3

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Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth

taurus [48]

Answer:

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

$y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\$

It is a homogeneous solution:

$y_h(t)=c_1e^{-2i t}+c_2e^{2i t}$

Now, we finding a particular solution.

$y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\$

we get

$y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

7 0

3 years ago

Which of the following are exterior angles?Check all that apply. Help asap plz

ddd [48]

Angle 6, angle 4, angle 3, and angle 2 are all exterior angles.

Hope this helps!

4 0

4 years ago

Read 2 more answers

Peter sold an article for $3600 gaining one sixth of its selling price. Find the cost price and the gain percent.

Ivahew [28]

Answer:

See the answers below

Step-by-step explanation:

Given data

Cost of artilce= $3600

Gain= 1/6 of 3600

Hence the Gain is

=1/6*3600

=0.166*3600

=$600

The Gain Percent is

=600/3600*100

=0.1666*100

=16.66%

5 0

3 years ago

2 Points

DENIUS [597]

I think the answer will b

5 0

3 years ago

A whistle is made of a square tube with a notch cut in its edge, into which a baffle is brazed. Determine the dimensions d and θ

jasenka [17]

Answer:

d = 7.51 cm

θ = 60°

Step-by-step explanation:

The baffle used in the notch of a whistle is a triangular baffle (Isosceles triangle OAB).

For the isosceles triangle, the sides with equal dimension are OA and OB which is represented with d

d = the vertical component of the side of a triangle

It is given by

6.5cm = d sin60

d = 6.5/sin60

d = 7.505553499465134

d = 7.51 cm -------- Approximated

To calculate angle θ

Angle on a straight line is = 180

So, 60 + 60 + θ = 180

θ= 180 - 120

θ = 60°

(See attachments below)

3 0

3 years ago