Ask question

Ask question

All categories

2 years ago

10

For the given functions f (x), let x0 = 0, x1 = 0.6, and x2 = 0.9. construct interpolation polynomials of degree at most one and

at most two to approximate f (0.45), and find the absolute error

1 answer:

barxatty [35]2 years ago

6 0

Check the attached file for the solution.

You might be interested in

A boat is traveling east across a river that is 112 meters wide at 8 meters per second. If the river has a northward current of

andreyandreev [35.5K]

This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:
c^2=a^2+b^2
c^2=8^2+5^2
c^2=64+25
c^2=89
c=sqrt89
c=9.4 m/s

6 0

2 years ago

Read 2 more answers

The age of Tony and Vihaan are in the ratio of 8:7. Six years later, their ages will be in the ratio 10:9. Find their ages.

Alex_Xolod [135]

Answer:

24 and 21

Step-by-step explanation:

the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )

In 6 years

8x + 6 : 7x + 6 = 10 : 9

Express the ratio in fractional form

$\frac{8x+6}{7x+6}$ = $\frac{10}{9}$ ( cross- multiply )

9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides

72x + 54 = 70x + 60 ( subtract 70x from both sides )

2x + 54 = 60 ( subtract 54 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Thus

Tony = 8x = 8 × 3 = 24

Vihaan = 7x = 7 × 3 = 21

4 0

2 years ago

Read 2 more answers

The terms of the binomial expansion are written below using the patterns. (m + 2)4 = (1)(m4)(20) + (4)(m3)(21) + (6)(m2)(22) + (

lorasvet [3.4K]

Answer:

$(m + 2)^4 = m^4+ 8 m^3 + 24 m^2 + 32 m + 16$

Step-by-step explanation:

$(m + 2)^4 = (1)(m^4)(2^0) + (4)(m^3)(2^1) + (6)(m^2)(2^2) + (4)(m^1)(2^3) + (1)(m^0)(2^4)$

2^0 is 1 also m^0 is 1

2^2= 4, 2^3= 8 , 2^4= 16

$(m + 2)^4 = (1)(m^4)(1)+ (4)(m^3)(2) + (6)(m^2)(4) + (4)(m^1)(8) + (1)(1)(16)$

$(m + 2)^4 = m^4+ 8 m^3 + 24 m^2 + 32 m + 16$

4 0

2 years ago

In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of

kati45 [8]

The answer is $7.14 is wunt josiah pay

8 0

2 years ago

Read 2 more answers

a game spinner has regions that are numbered 1 through 8. if the spinner is used twice, what is the probability that the first n

tester [92]

These are both independent events because 1 spin does not effect the other.

P(1st spin is 3) = 1/8
P(2nd spin is 7) = 1/8

P(both) = 1/8 * 1/8 = 1/64

8 0

2 years ago

Read 2 more answers