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Semmy [17]
3 years ago
8

Let P2 denote the vector space of all polynomials with degree less than or equal to 2. (a) Show that B = {1 + x + x 2 , 1 + 2x −

x 2 , 1 − 2x − x 2} is a basis for P2. (b) Find the coord

Mathematics
1 answer:
nirvana33 [79]3 years ago
7 0

Answer:

The answer is in the the attachment

Step-by-step explanation:

The question you posted was incomplete but i believe below is the complete question;

Let P2 denote the vector space of all polynomials with degree less than or equal to 2. (

a) Show that B = {1 + x + x 2 , 1 + 2x − x 2 , 1 − 2x − x 2} is a basis for P2.

(b) Find the coordinate vector of p(x) = 1 + 2x + 3x 2 relative to the basis B

The answer is explained in the attachments.

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Test the convergence of 011xx dx .
Slav-nsk [51]

Step-by-step explanation:

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6 0
3 years ago
The top-selling Red and Voss tire is rated 50,000 miles, which means nothing. In fact, the distance the tires can run until they
Anvisha [2.4K]

Answer: 0.9726

Step-by-step explanation:

Let x be the random variable that represents the distance the tires can run until they wear out.

Given : The top-selling Red and Voss tire is rated 50,000 miles, which means nothing. In fact, the distance the tires can run until they wear out is a normally distributed random variable with a \mu=67,000 miles and a \sigma= 5,200 miles.

Then , the probability that a tire wears out before 60,000 miles :

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8 0
2 years ago
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Answer:

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3 0
2 years ago
Read 2 more answers
Cara has $25 to buy dry pet food a pound of dog food costs $2 and treats are $1 apiece if she buys 9 pounds of food the greatest
zzz [600]

Cost of each pound of dog food = $2 .

Total cost of 9 pounds of dog food = 9 * 2 = $18.

Let us assume number of treats she can buy = t.

Cost of each treat = $1.

Cost of t number of treats = 1*t = 1t .

Total money Cara has = $25.

We can setup an inequality as,

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18 + 1t ≤ 25.

Subtracting 18 from both sides, we get

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5 0
2 years ago
4) Choose the correct inequality for this situation.
Ksenya-84 [330]

Answer:

B. 21x + 40 ≤ 124

Step-by-step Explanation:

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Given that Mr Walter already spent $40, which is part of the money budgeted, the number of people that can go canoeing cam be expressed with the following inequality:

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6 0
3 years ago
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