b> Find the equation to the straight lines passing through (1,1) and parallel to the lines represented by x²-5xy+4y²+x+2y-2=0
1 answer:
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Answer:
Step-by-step explanation:
Rn(x) →0
f(x) = 10/x
a = -2
Taylor series for the function <em>f </em>at the number a is:
............ equation (1)
Now we will find the function <em>f </em> and all derivatives of the function <em>f</em> at a = -2
f(x) = 10/x f(-2) = 10/-2
f'(x) = -10/x² f'(-2) = -10/(-2)²
f"(x) = -10.2/x³ f"(-2) = -10.2/(-2)³
f"'(x) = -10.2.3/x⁴ f'"(-2) = -10.2.3/(-2)⁴
f""(x) = -10.2.3.4/x⁵ f""(-2) = -10.2.3.4/(-2)⁵
∴ The Taylor series for the function <em>f</em> at a = -4 means that we substitute the value of each function into equation (1)
So, we get Or
The interest rate is 7.69%
Step-by-step explanation:
Given
Interest = $200
Time = t = 30 months
Time will be converted into years as the rate is applied yearly
So,
1 year = 12 months
30 months = 30/12 years = 2.5 years
Principal amount = $1040
The formula for interest is:
Putting the values
Converting into percentage:
r = 7.6923
Rounding off to nearest hundredth
r = 7.69%
Hence,
The interest rate is 7.69%
Keywords: Interest, percentage
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