√(x^13) is equal to:
(x^13)^(1/2) which is equal to:
(x^12*x^1)^(1/2) which is equal to
(x^12)^(1/2)*(x^1)^(1/2)
and the applicable rule: (a^b)^c=a^(b*c) so
x^(12*1/2)*x^(1*1/2)
x^6*x^(1/2)
x^6√x
By looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.
Answer:
Σ(-1)^kx^k for k = 0 to n
Step-by-step explanation:
The nth Maclaurin polynomials for f to be
Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......
The given function is.
f(x) = 1/(1+x)
Differentiate four times with respect to x
f(x) = 1/(1+x)
f'(x) = -1/(1+x)²
f''(x) = 2/(1+x)³
f'''(x) = -6/(1+x)⁴
f''''(x) = 24/(1+x)^5
To calculate with a coefficient of 1
f(0) = 1
f'(0) = -1
f''(0) = 2
f'''(0) = -6
f''''(0) = 24
Findinf Pn(x) for n = 0 to 4.
Po(x) = 1
P1(x) = 1 - x
P2(x) = 1 - x + x²
P3(x) = 1 - x+ x² - x³
P4(x) = 1 - x+ x² - x³+ x⁴
Hence, the nth Maclaurin polynomials is
1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n
= Σ(-1)^kx^k for k = 0 to n
Rounded to the nearest tenth, the square root of 149 is 12.2.
Answer:
1 hour= 45 miles
1/2 hour=22.5 miles
3 hours= 135
Step-by-step explanation:
just work out one hour by halving 90 miles which is 45. Then work out the rest by halving again and multiplying by 3.
