Answer:
a. p1(x) = 2 - x
b. p2(x) = x² - 3*x + 3
c. p1(0.97) = 1.03; p2(0.97) = 1.0309
Step-by-step explanation:
f(x) = 1/x
f'(x) = -1/x²
f''(x) = 2/x³
a = 1
a. The linear approximating polynomial is:
p1(x) = f(a) + f'(a)*(x - a)
p1(x) = 1/1 + -1/1² * (x - 1)
p1(x) = 1 - x + 1
p1(x) = 2 - x
b. The quadratic approximating polynomial is:
p2(x) = p1(x) + 1/2 * f''(a)*(x - a)²
p2(x) = 2 - x + 1/2 * 2/1³ * (x - 1)²
p2(x) = 2 - x + (x - 1)²
p2(x) = 2 - x + x² - 2*x + 1
p2(x) = x² - 3*x + 3
c. approximate 1/0.97 using p1(x)
p1(0.97) = 2 - 0.97 = 1.03
approximate 1/0.97 using p2(x)
p2(0.97) = 0.97² - 3*0.97 + 3 = 1.0309
Answer:
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Step-by-step explanation:
We will convert the values into decimals for simplicity.
Arranging from least to greatest:
2500 divided by 100 is 25. If you multiply 25 times 3 you'll get 75. Repeat those steps (answers will be different each time) five times. You will get the answer.
Don't want to do that? OK! I'll do it for you!
Answer: <span>2577.31958575</span>
Answer:
About 24 parking spaces.
Step-by-step explanation:
There are 100 cm in 1 meter.
Multiply 63 by 100 to get 6300cm.
Divide 6300 by 260 to get an answer of 24.23, rounded.
24 i(about) your answer.
Hope this helps.
Answer:
96
Step-by-step explanation:
The average for the first 6 days was 100, and it ended up dropping overall by 2 for the average.
6 days=x/6=100
4 days=x/4=98/100
You can do 96+100/2 which is 98 degrees.
