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Leto [7]
3 years ago
10

PLEASE HELP MY ASSIGNMENT IS DUE IN 3 HOURS!!!!

Mathematics
1 answer:
dybincka [34]3 years ago
8 0

Answer:

8.9 Feet

Step-by-step explanation:

a^2+b^2 = c^2

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. The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to nd
Blababa [14]

The question is:

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation

x²y'' - 7xy' + 16y = 0; y1 = x^4

Answer:

The second solution y2 is

A(x^4)lnx

Step-by-step explanation:

Given the homogeneous differential equation

x²y'' - 7xy' + 16y = 0

And a solution: y1 = x^4

We need to find a second solution y2 using the method of reduction of order.

Let y2 = uy1

=> y2 = ux^4

Since y2 is also a solution to the differential equation, it also satisfies it.

Differentiate y2 twice in succession with respect to x, to obtain y2' and y2'' and substitute the resulting values into the original differential equation.

y2' = u'. x^4 + u. 4x³

y2'' = u''. x^4 + u'. 4x³ + u'. 4x³ + u. 12x²

= u''. x^4 + u'. 8x³ + u. 12x²

Now, using these values in the original equation,

x²(u''. x^4 + u'. 8x³ + u. 12x²) - 7x(u'. x^4 + u. 4x³)+ 16(ux^4) = 0

x^6u'' + 8x^5u' + 12x^4u - 7x^5u' - 28x^4u + 16x^4u = 0

x^6u'' + x^5u' = 0

xu'' = -u'

Let w = u'

Then w' = u''

So

xw' = -w

w'/w = -1/x

Integrating both sides

lnw = -lnx + C

w = Ae^(-lnx) (where A = e^C)

w = A/x

But w = u'

So,

u' = A/x

Integrating this

u = Alnx

Since

y2 = uy1

We have

y2 = (Alnx)x^4 = (Ax^4)lnx

Therefore, the second solution y2 is

A(x^4)lnx

6 0
3 years ago
Solve the simple interest formula, I = Prt, for P. (2 points)
Maru [420]

Answer:

t= i/pr

Step-by-step explanation:

We were given that the amount of simple interest earned is given by the formula, i= prt

The above formula is an example of a literal equation.

We want to solve this formula for T.

But we can observe that the product of two letters  are multiplying the letter T.

So we multiply both sides of the literal equation by the reciprocal of PR witch is 1/PR to obtain, I*1/PR=*PRT

This implies that, i/pr=t

We can rewrite this as, t=i/pr

Therefore the correct answer is C.

7 0
2 years ago
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Write an equation of the line in slope intercept form that passes through (3, 1/2) and has a slope of 4.
mash [69]

Answer:

Step-by-step explanation:

Write an equation of the line in slope intercept form that passes through (3, 1/2) and has a slope of 4.

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1 year ago
The following data provides the number of calories of various types of frozen bars{25,35,200,280,80,80,90,40,45,50,50,60,90,100,
Korolek [52]
A] The histogram of the data set given is shown on the attachment.
(<span>25,35,200,280,80,80,90,40,45,50,50,60,90,100,120,40,45,60,70,350</span>)
Measures of the center are:
25,75,125,175,225, 275, 325
The histogram is J-shaped

b] The measures of centers can on be obtained through Histogram, this is because they are not random numbers, they have to be generated from the histogram.

5 0
3 years ago
Pre-image ABCD was dilated to produce image A'B'C'D' .
Scorpion4ik [409]
He right its 2/5  I took the yes to
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2 years ago
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