The function A(x)=0.002x³ -0.03x² +0.14x + 0.03 approximates the blood alcoholconcentration in a person's bloodstream x hours after drinking 8 ounces of a hardliquor. The function only applies to the interval [0,6]. On what time intervals is theblood alcohol concentration increasing? On what intervals is it decreasing?Determine the interval(s), if any, on which the blood alcohol concentration isincreasing. Select the correct choice below and, if necessary, fill in the answer box tocomplete your choice.OA. The blood alcohol concentration is increasing on the time interval(s)(Type your answer in interval notation. Use integers or decimals for anynumbers in the expression. Round to the nearest hundredth as needed. Usea comma to separate answers as needed.)B. The blood alcohol concentration is never increasing.

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Answered: The function A(x)=0.002x³ -0.03x²…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A tank holds 200 gal of water that contains 40 lb of dissolved salt. A brine (salt) solution is flowing into the tank at the rate of 2 gal per minute while the solution flows out at the same rate. The brine solution entering the tank has a salt concentration of 4 lb per gal. (a) Find a function that represents the amount of salt in the tank at any time. (b) As time passes, what happens to the salt concentration?
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
25. (a) Determine whether y = 3. 7* is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient = Exponential Function initial value = y-intercept = exponent = b = (b) Determine whether y = is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Exponential Function initial value Linear Function Power Function coefficient = slope = y-intercept = exponent = (c) Determine wheter y = 3- (r+10)-7x is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient = Exponential Function initial value = y-intercept = exponent = b = (d) Determine wheter y = 12" · 997 is a linear, power, or exponential function (i.e, choose one column,and fill in the missing values in that column. Linear Function slope = Power Function coefficient =…
During the Apollo 14 mission, Alan Shepard hit a golf ball on the Moon. The function h(t) =1&-0.8t models the height of the ball's trajectory on the Moon where h(t)is the height of the ball in metres and t is the time in seconds. Determine the average rate of change in the height of the ball over the time interval 10
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