Determine the 20th derivative of y = sin(2x).
1 answer:
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Answer:
<u>Step-by-step explanation:</u>
Parabola Skate Rental: 4.50x + 35
Arc Hawk Skate Rental: 5.25x + 25
If you want to know when their cost will be the same, set the equations equal to each other.
5.25x + 25 = 4.50x + 35
0.75x + 25 = 35 <em>subtracted 4.50x from both sides</em>
0.75x = 10 <em>subtracted 25 from both sides</em>
<em>divided both sides by 0.75</em>
x = <em>simplified the fraction</em>
The rate of change of the risk of down syndrome (in percentage of births per year) is
r(x) = 0.004641x² - 0.3012x + 4.9, 20≤ x ≤ 45
where
x = maternal age at delivery.
The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c
When x = 30, f = 0.14%. Therefore
0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14
41.769 - 135.54 + 147 + c = 0.14
c = -53.089
Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089, 20 ≤ x ≤ 45
The function is graphed as shown below.
r(x) = 0.004641x² - 0.3012x + 4.9, 20≤ x ≤ 45
where
x = maternal age at delivery.
The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c
When x = 30, f = 0.14%. Therefore
0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14
41.769 - 135.54 + 147 + c = 0.14
c = -53.089
Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089, 20 ≤ x ≤ 45
The function is graphed as shown below.
Answer: 0.2551
Step-by-step explanation:
Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the actual temperature of the medium, and standard deviation σ.
Significance level :
The critical z-value for 95% confidence : (1)
Since , (where x be any random variable that represents the temperature reading from a thermocouple.)
Then, from (1)
(2)
Also, all readings are within 0.5° of μ,
i.e.
i.e. [From (2)]
i.e.
i.e.
The required standard deviation :