Answer:
4. Infinitely many
Step-by-step explanation:
5x + 3(x − 1) = 10x − 2x − 3
5x+3x-3=8x-3
5x+3x-8x=3-3
0=0
x∈R
Answer:
12 : 7 : 3
Step-by-step explanation:
24 : 14 : 6
12 : 7 : 3
Always start with smaller number to simplify it. Since 2 is the smaller number and it simplifies 24, 14, and 6 I start with it.
24 ÷ 2 = 12
14 ÷ 2 = 7
6 ÷ 2 = 3
We would stop here since it would not further simplify, therefore our answer is 12 : 7 : 3.
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there is not enough info for this
The nth taylor polynomial for the given function is
P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴
Given:
f(x) = ln(x)
n = 4
c = 3
nth Taylor polynomial for the function, centered at c
The Taylor series for f(x) = ln x centered at 5 is:

Since, c = 5 so,

Now
f(5) = ln 5
f'(x) = 1/x ⇒ f'(5) = 1/5
f''(x) = -1/x² ⇒ f''(5) = -1/5² = -1/25
f'''(x) = 2/x³ ⇒ f'''(5) = 2/5³ = 2/125
f''''(x) = -6/x⁴ ⇒ f (5) = -6/5⁴ = -6/625
So Taylor polynomial for n = 4 is:
P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴
Hence,
The nth taylor polynomial for the given function is
P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴
Find out more information about nth taylor polynomial here
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Answer:
x = 3/2
Step-by-step explanation:
x- 3/4 + 2/3 = 17/12
x = 17/12 + 3/4 -2/3
x = 3/2