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3 years ago

Which is harder linear algebra or abstract algebra?

2 answers:

6 0

They both relatively easy depending on how much time you put into understanding but. But if I have to pick which is harder I’d say linear.

Leokris [45]3 years ago

5 0

Linear algebra

I've always had trouble with graphs and it's much better if the algebra is similar to arthemetic

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What are the last three terms of the binomial expansion 32x³ + 80x'y + 80x³y² +

Gnesinka [82]

The last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

<h3>Binomial expansion</h3>

From the question, we are to determine the last three terms of the binomial expansion 32x⁵ + 80x⁴y + 80x³y² + __ + __ + __

The highest power of the expansion is 5

Using the binomial expansion theorem

(m +n)⁵ = m⁵ + 5m⁴n + 10m³n² + 10m²n³ + 5mn⁴ + n⁵

Now, we will determine the values of m and n by comparison

By comparison,

m⁵ = 32x⁵

m⁵ = (2x)⁵

∴ m = 2x

Also,

5m⁴n = 80x⁴y

Divide both sides by 5, to get

m⁴n = 16x⁴y

Put m = 2x into the equation

(2x)⁴n = 16x⁴y

16x⁴n = 16x⁴y

∴ n = y

Thus, the expression being expanded is (2x + y)⁵

By binomial expansion, the expansion of (2x + y)⁵ is

(2x + y)⁵ = (2x)⁵ + 5(2x)⁴y + 10(2x)³(y)² + 10(2x)²(y)³ + 5(2x)(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + (5×16)x⁴y + (10×8)x³(y)² + (10×4)x²(y)³ + (5×2)x(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + 80x⁴y + 80x³y² + 40x²y³ + 10xy⁴ + y⁵

Hence, the last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

Learn more on Binomial expansion here: brainly.com/question/13602562

#SPJ1

8 0

2 years ago

7f^2 + Fz= ????????????????????!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

netineya [11]

Answer:

7f/z

Step-by-step explanation:

mat h wAyz

6 0

3 years ago

How much greater is the median number of pairs of shoes in the inventory at the Golf Pro Shop than the median number of pairs of

Dovator [93]

The difference between the median of the golf pro box and tennis pro box is 20.

<h3>What is Median?</h3>

The median is the middle value of an entire data set. If the number of data points(observations) in the set is odd then the middle value is the median but, for an even number of observations, the median is calculated by finding the means for the two middle data points.

As we know that the vertical line in the box plot is the median. Therefore, the median of the Golf pro shop is 40, while the median of the tennis pro shop is 20.

The difference between the median of the golf pro box and tennis pro box

= 40 - 20

= 20

Hence, the difference between the median of the golf pro box and tennis pro box is 20.

Learn more about Median:

brainly.com/question/300591

8 0

2 years ago

36% of the 1,035 people who watched the new sequel to a popular action movie thought it was better than the original. Find the m

aksik [14]

<u>Answer:</u> 372.6

<u>Reasoning:</u> 1035 x .36=372.6

8 0

3 years ago

Read 2 more answers

In a West Texas school district the school year began on August 1 and lasted until May 31. On August 1 a Soft Drink company inst

WINSTONCH [101]

Answer:

$95.78

Step-by-step explanation:

f(t) = 300t / (2t² + 8)

t = 0 corresponds to the beginning of August. t = 1 corresponds to the end of August. t = 2 corresponds to the end of September. So on and so forth. So the second semester is from t = 5 to t = 10.

$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt

$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt

$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt

$T₂ = 75 ln(t² + 4) |₅¹⁰

$T₂ = 75 ln(104) − 75 ln(29)

$T₂ ≈ 95.78

3 0

3 years ago