Surface area and mass. The surface area of a person whose mass is 75 kg can be approximated by f ( h ) = 0.144 h 1 / 2 , where f ( h ) is measured in square meters and h is the person's height in centimeters ( Source· US Oncology. ) a. Find the approximate surface area of a person whose mass is 75 kg and whose height is 180 cm. b. Find the approximate surface area of a person whose mass is 75 kg and whose height is 170 cm. c. Graph the function f for 0 ≤ h ≤ 200 .
Surface area and mass. The surface area of a person whose mass is 75 kg can be approximated by f ( h ) = 0.144 h 1 / 2 , where f ( h ) is measured in square meters and h is the person's height in centimeters ( Source· US Oncology. ) a. Find the approximate surface area of a person whose mass is 75 kg and whose height is 180 cm. b. Find the approximate surface area of a person whose mass is 75 kg and whose height is 170 cm. c. Graph the function f for 0 ≤ h ≤ 200 .
Solution Summary: The author explains the approximate surface area function, f(h)=0.144h raisebox1ex1!
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
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