1/4(r - 5/2) = 1/8
Divide both sides by 1/8 :0
2(r - 5/2) = 1
r - 5/2 = 1/2
r = 1/2 + 5/2 = 6/2
r = 3 Answer
Answer:
D. Both factors are negative, so the product will be positive.
Answer:
To the nearest integer, the square root of 39 would be 6.
Step-by-step explanation:
To find the answer, look at the perfect squares on either side of 39. Lower than it would be 36 and the next highest would be 49. Since it is closer to 36, we can estimate that the answer is 6.
The graph suggests that the two lines meet at 
If this is true, that point must belong to both lines.
To check this, plug 
in both equations, and you must get 
once you simplifiy all the numbers.
In the first equation we have
In the second,
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
