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const2013 [10]
3 years ago
6

Write out the form of the partial fraction decomposition of the function (See Example). Do not determine the numerical values of

the coefficients. (If the partial fraction decomposition does not exist, enter DNE.) (a) x4 5 x5 6x3(b) 3 / (x2? 4)2
Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer:

\frac{x^4+5}{x^3(x^2+6)} =\frac{A}{x}+\frac{B}{x^2}+\frac{D}{x^3}  +\frac{Ex+F}{x^2+6}

Step-by-step explanation:

\frac{x^4+5}{x^5+6x^3}

\frac{x^4+5}{x^3(x^2+6)} =\frac{A}{x}+\frac{B}{x^2}+\frac{D}{x^3}  +\frac{Ex+F}{x^2+6}

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At the start of the day there was 129.75 in the till one hour later there is 145.40 how much did the shop take in a hour
777dan777 [17]
At the start of the day, there was £129.75. Later, they made more money, so the <span>£145.50. To find the amount of change, you just need to deduct the number 129.75 from 145.50.

145.50 - 129.75 = 15.75

The shop made </span><span>£15.75 in one hour.</span>
8 0
3 years ago
How many kids does it take to eat 1/3 of a cakw
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Answer:

1 -2 Kids

Step-by-step explanation:

Umm Used my brain

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3 years ago
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The times for Erin’s five laps around the track were 56.6 seconds, 57.9 seconds, 57.5 seconds, 65.3 seconds, and 65.7 seconds. U
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A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much ca
Alex787 [66]

Answer:

∴35.97 mg caffeine would be left in the system after 5 hours.

Step-by-step explanation:

Given that,

A cup of coffee has approximately 310 mg of caffeine.

Caffeine decrease at a rate 35% per hour.

Exponential Function:

y(t)=y_0(1-r)^t

y(t)= Amount caffeine after t hours

y_0= Initial amount of caffeine

r= rate of decrease

t = Time in hour.

Here y(t)=?, y_0 = 310 mg, r=35%=0.35, t= 5 hours

y(t)=310(1-0.35)^5

      =35.97 mg

∴35.97 mg caffeine would be left in the system after 5 hours.

3 0
3 years ago
the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three ti
Montano1993 [528]
To solve this problem you must apply the proccedure shown below:

 1. You have that the formula for calculate the area of a triangle is:

 A=bh/2

 Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.

 bh/2=124
 bh=124x2
 bh=248

 2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:

 Base=b/2
 Height=3h

 3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

 A'=bh/2

 (A' is the new area)

 A'=(b/2)(3)/2
 A'=3bh/4

 4. When you substitute bh=248 into </span>A'=3bh/4, you obtain:
<span>
 A'=186 units</span>²
<span>
 The answer is: </span>186 units²
3 0
3 years ago
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