1st part is c
2nd part is d
I BELIEVE
Answer:
2 per minute
Step-by-step explanation:
Because 8 divided by 4 is 2.
Answer:
R3 <= 0.083
Step-by-step explanation:
f(x)=xlnx,
The derivatives are as follows:
f'(x)=1+lnx,
f"(x)=1/x,
f"'(x)=-1/x²
f^(4)(x)=2/x³
Simialrly;
f(1) = 0,
f'(1) = 1,
f"(1) = 1,
f"'(1) = -1,
f^(4)(1) = 2
As such;
T1 = f(1) + f'(1)(x-1)
T1 = 0+1(x-1)
T1 = x - 1
T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2
T2 = 0+1(x-1)+1(x-1)^2
T2 = x-1+(x²-2x+1)/2
T2 = x²/2 - 1/2
T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3
T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3
T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)
Thus, T1(2) = 2 - 1
T1(2) = 1
T2 (2) = 2²/2 - 1/2
T2 (2) = 3/2
T2 (2) = 1.5
T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)
T3(2) = 4/3
T3(2) = 1.333
Since;
f(2) = 2 × ln(2)
f(2) = 2×0.693147 =
f(2) = 1.386294
Since;
f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).
Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,
Since;
f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2
Finally;
R3 <= |2/(4!)(2-1)^4|
R3 <= | 2 / 24× 1 |
R3 <= 1/12
R3 <= 0.083
Answer:
2 your welcome
Step-by-step explanation:
Answer:
<u></u>
- <u>No. You would have to cut the number of veggie burgers in more than half.</u>
Explanation:
<u>1. Model the situation with a system of equations</u>
<u />
<u>a) Name the variables:</u>
- number of turkey burgers: t
- number of veggie burgers: v
<u />
<u>b) Number of burgers:</u>
<u />
<u>c) Cost of the 50 burgers:</u>
<u>2. Solve that system of equations:</u>
<u />
<u>a) System</u>
<u>b) Mutliply the first equation by 2 and subtract the second equation</u>
- 100 = 2t + 2v
- 90 = 2t + 1.50v
- v = 20 ⇒ t = 50 - 20 = 30
<u />
<u>c) How much would you spend if the next year you buy the double of 20 turkey burgers (40) and the half of 30 veggie burgers (15)</u>
- $2(40) + $1.50(15) = $80 + $22.50 = $102.50
Then, you if you double the number of turkey burgers, and cut the number burgers in half, you would spend more than $90 ($102.50).
