1/2(4•5)-2 to the power of 3
1 answer:
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Answer:
Step-by-step explanation:
First, on the right-hand side of the equation, let's distribute the to each term in the parenthesis:
Now, let's move all the terms with an to the left-hand side, and everything else to the right-hand side of the equation:
Let's combine like terms:
Finally, let's divide each side by to get
by itself on the left-hand side of the equation:
Answer:
The rate of change of blood pressure at the 50-pound weight level is 0.26
The rate of change of blood pressure at the 80-pound weight level is 0.16
Step-by-step explanation:
We have, P(x) = 12.9(9 + ln x)
We need to compute the rate of change of blood pressure P(x) so, we will differentiate the function P(x) with respect to x.
P(x) = 12.9(9 + ln x)
P(x) = 116.1 + 12.9ln x
Differentiating with repect to x:
= 0 + 12.9 (
)
= 12.9 (
)
The differential of ln x is and the differential of constant terms is 0.
The rate of change of blood pressure at the 50-pound weight level can be calculate by substituting 50 in place of x, so
= 12.9 (
)
= 12.9 * (1/50)
= 0.258
= 0.26
Similarly, The rate of change of blood pressure at the 80-pound weight level can be calculate by substituting 80 in place of x, so
= 12.9 (
)
= 12.9 * (1/80)
= 0.16125
= 0.16