Answer:
CACULATOR: shift solve= ---> x= π
Step-by-step explanation:
Answer:
-x¹⁴ / 5040
-½ < x < ½
Step-by-step explanation:
f(x) = e^(-x²)
The Taylor series for eˣ centered at 0 is:
eˣ = ∑ (1/n!) xⁿ
Substitute -x²:
e^(-x²) = ∑ (1/n!) (-x²)ⁿ
e^(-x²) = ∑ (1/n!) (-1)ⁿ x²ⁿ
The 14th degree term occurs at n=7.
(1/7!) (-1)⁷ x¹⁴
-x¹⁴ / 5040
ln(1 + x) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ xⁿ / n
If we substitute 4x²:
ln(1 + 4x²) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ (4x²)ⁿ / n
Using ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-1)ⁿ⁺² (4x²)ⁿ⁺¹ / (n+1)] / [(-1)ⁿ⁺¹ (4x²)ⁿ / n]│< 1
lim(n→∞)│-1 (4x²) n / (n+1)│< 1
4x² < 1
x² < ¼
-½ < x < ½
Answer:
the one for the finding the height is 3.3, the one with 7 as the height is 351.86, and the one with 3 as the height is 150.8
Step-by-step explanation:
h=V
πr2=41.5
π·22≈3.30247
V=πr2h=π·42·7≈351.85838
V=πr2h=π·42·3≈150.79645
Answer:
See below
Step-by-step explanation:
1. Given
2. Given
3. Definition of supplementary angles (add up to 180)
4. Substitution Property (substitute 112 in for angle 1)
5. Subtraction Property (subtract 112 from both sides)
Answer:
4cm I hope this helps
Step-by-step explanation:
