Pacific Gas & Electric 2. With data taken from the World Health Organization (WHO) website, the number of COVID-19 cases reported in Italy can be modeled by the equation N(t) = -122x³ + 863x² where t is the number of weeks since the day before the first case of COVID-19 was reported on February 21, 2020. a) Determine the implied domain for N(t), Show your work. b) Sketch an tesUrae reph of N(t) on the impledemain Indicete the scale and label both axes winh sarrect units. Delermine (t) and N"(t). d) Determine N(5) and N'(5) and write the meaning. e) Use calculus to find where the function is increasing or decreasing, and determine the maximum point of N(t). Write the meaning. f) Use calculus to find the inflection points of the model. Write the meaning. g) Use calculus to determine the area under the curve on the interval [0, 6]. Write the meaning. Shade this area on your graph.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...
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Pacific Gas & Electric
2. With data taken from the World Health Organization (WHO) website, the number of
COVID-19 cases reported in Italy can be modeled by the equation
N(t) = -122x³ + 863x²
where t is the number of weeks since the day before the first case of COVID-19 was
reported on February 21, 2020.
a) Determine the implied domain for N(t), Show your work.
b) Sketch an tesUrae reph of N(t) on the impledemain Indicete the scale and label
both axes winh sarrect units.
Delermine (t) and N"(t).
d) Determine N(5) and N'(5) and write the meaning.
e) Use calculus to find where the function is increasing or decreasing, and determine the
maximum point of N(t). Write the meaning.
f) Use calculus to find the inflection points of the model. Write the meaning.
g) Use calculus to determine the area under the curve on the interval [0, 6]. Write the
meaning. Shade this area on your graph.
Transcribed Image Text:Pacific Gas & Electric 2. With data taken from the World Health Organization (WHO) website, the number of COVID-19 cases reported in Italy can be modeled by the equation N(t) = -122x³ + 863x² where t is the number of weeks since the day before the first case of COVID-19 was reported on February 21, 2020. a) Determine the implied domain for N(t), Show your work. b) Sketch an tesUrae reph of N(t) on the impledemain Indicete the scale and label both axes winh sarrect units. Delermine (t) and N"(t). d) Determine N(5) and N'(5) and write the meaning. e) Use calculus to find where the function is increasing or decreasing, and determine the maximum point of N(t). Write the meaning. f) Use calculus to find the inflection points of the model. Write the meaning. g) Use calculus to determine the area under the curve on the interval [0, 6]. Write the meaning. Shade this area on your graph.
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