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The population of a city has risen and fallen over a 20-year interval. Its population may...
1. (20 points) Graph the function over a one period interval. y= 3 – 6cos (2x...
1. (20 points) Graph the function over a one period interval. y= 3 – 6cos (2x +) Y--Pocos [2<*+ * ))+3 yu-cos ( 2x+ 2) +3 a. (1 pt) What is the amplitude? b. (2 pts) What is the period? 1-6)=0 b C. (4 pts) What is the interval of one period? 04 204*2. 0€* 품 d. (2 pts) What is the range? e. (1 pt) What is the y-intercept? (2 pts) f. What is the phase shift? To the...
8. You are given the trigonometric function y = 3 sin 3 (u – 20°). (a)...
8. You are given the trigonometric function y = 3 sin 3 (u – 20°). (a) Determine its amplitude, period and phase shift The amplitude is The period is The phase shift is (b) Which of the graphs A, B, C, D in the attachment Final Exam Figures.pdf above, is its graph? + - 120 - 60 120 ALA ANN Graph A Graph B -120 Graph C Graph D
Consider this scenario: The population of a city increased steadily over a six-year span. The fol...
Consider this scenario: The population of a city increased steadily over a six-year span. The following ordered pairs show the population and the year over the six-year span (population, year) for specific recorded years. Use linear regression to determine a function y, where the year depends on the population x, to five decimal places of accuracy. (3,600, 2000), (4,000, 2001), (4,750, 2003), (6,050, 2006) According to this model, what is the population in 2015? (Round your answer to the nearest...
3. Find the domain, asymptotes, and x-intercepts of the function, and then sketch its graph: f(x)...
3. Find the domain, asymptotes, and x-intercepts of the function, and then sketch its graph: f(x) = log(3 - x) 4. State the amplitude, period and phase-shift, and then sketch one complete cycle of the graph: y = 2cos (4x + Tt). Label all the maximum, minimum, and x-intercepts. 5. In 2002, the population of a colony is 50,000 and is increasing exponentially at 2.5% per year. a) What will the population be after 6 years? b) In what year...
please answer all! 1. 2. 3. 4. The graph on the right models the monthly average...
please answer all!
1. 2. 3. 4.
The graph on the right models the monthly average temperature y in degrees Fahrenheit for a city, where x is the month. AY 50- 40- 30- (a) Find the maximum and minimum average monthly temperatures. (b) Find the amplitude and period, and interpret the results. (c) Explain what the x-intercepts represent. 20- 10- х °F. The minimum monthly 0- (a) The maximum monthly average temperature is average temperature is °F. 6 8 10...
please type up a clear explination for how to do these and explain what the unit...
please type up a clear explination for how to do these and explain
what the unit circle is. hw due at 12 tonight. thank you!
Graph the function. y 3 tan (2x-x) Choose the correct graph of y 3 tan (2x-x). O A. OB. O C. t/2 A 6- /2 4y 6- 6- 3/4 3s/4 /4 5/4 g/4 5x/4 Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. tan 8 tan...
15. The point (-6,-8) is on the terminal arm of LA-which is the correct value of...
15. The point (-6,-8) is on the terminal arm of LA-which is the correct value of csc A? a. 4 ー c. 3 16. Determine two angles between 0° and 360° that have a cosecant of -2. 17. Determine two angles between 0 and 360° that have a secant of 2. 18. Determine two angles between 0° and 360° that have a cotangent of 3. 19. A periodic function. (x) has a period of 12 and/(14)--5. What is the next...
Show which answer is for which, for the population question Pool of HW problems Linear Functions...
Show which answer is for which, for the population
question
Pool of HW problems Linear Functions Set up linear equation to solve problem (I) (1-2) DRAFT e ollowing exercises, consider this scenario: The weight of a newborm is 7.5 pounds. 1 a month for its first year. a. Find the linear function that models the baby's weight b. Find a reasonable domain and range for the function c. If the function W is graphed, find and interpret the x- and...
3. The population of a city is given by P 250000(1.25)n/20 where n is the n...
3. The population of a city is given by P 250000(1.25)n/20 where n is the n years after 2005. What is the population in 2035. 5 Marks 4. The sales of a small company were $ 27000 in its 2md operation and S 63000 in its 5 year of operation. Assume that the data can be year. Let y represent sales in the 10 approximated by a straight line. a. Find the slope of the sales line and give an...
The Flower City Grocery is faced with the following budgeting decision. Its display freezer system should...
The Flower City Grocery is faced with the following budgeting decision. Its display freezer system should be repaired. But to repair may not be the correct approach. Rather the company could purchase a new freezer system for $15,000. The new freezer system has more display space and will increase profits. With the new system net cash inflows will average $8,000 and cash operating costs will be $3,000 annually. The company has a cost of capital of 9 percent. The tax...
1. (20 points) Graph the function over a one period interval. y= 3 – 6cos (2x +) Y--Pocos [2<*+ * ))+3 yu-cos ( 2x+ 2) +3 a. (1 pt) What is the amplitude? b. (2 pts) What is the period? 1-6)=0 b C. (4 pts) What is the interval of one period? 04 204*2. 0€* 품 d. (2 pts) What is the range? e. (1 pt) What is the y-intercept? (2 pts) f. What is the phase shift? To the...
8. You are given the trigonometric function y = 3 sin 3 (u – 20°). (a) Determine its amplitude, period and phase shift The amplitude is The period is The phase shift is (b) Which of the graphs A, B, C, D in the attachment Final Exam Figures.pdf above, is its graph? + - 120 - 60 120 ALA ANN Graph A Graph B -120 Graph C Graph D
3. Find the domain, asymptotes, and x-intercepts of the function, and then sketch its graph: f(x) = log(3 - x) 4. State the amplitude, period and phase-shift, and then sketch one complete cycle of the graph: y = 2cos (4x + Tt). Label all the maximum, minimum, and x-intercepts. 5. In 2002, the population of a colony is 50,000 and is increasing exponentially at 2.5% per year. a) What will the population be after 6 years? b) In what year...
please answer all!
1. 2. 3. 4.
The graph on the right models the monthly average temperature y in degrees Fahrenheit for a city, where x is the month. AY 50- 40- 30- (a) Find the maximum and minimum average monthly temperatures. (b) Find the amplitude and period, and interpret the results. (c) Explain what the x-intercepts represent. 20- 10- х °F. The minimum monthly 0- (a) The maximum monthly average temperature is average temperature is °F. 6 8 10...
please type up a clear explination for how to do these and explain
what the unit circle is. hw due at 12 tonight. thank you!
Graph the function. y 3 tan (2x-x) Choose the correct graph of y 3 tan (2x-x). O A. OB. O C. t/2 A 6- /2 4y 6- 6- 3/4 3s/4 /4 5/4 g/4 5x/4 Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. tan 8 tan...
15. The point (-6,-8) is on the terminal arm of LA-which is the correct value of csc A? a. 4 ー c. 3 16. Determine two angles between 0° and 360° that have a cosecant of -2. 17. Determine two angles between 0 and 360° that have a secant of 2. 18. Determine two angles between 0° and 360° that have a cotangent of 3. 19. A periodic function. (x) has a period of 12 and/(14)--5. What is the next...
Show which answer is for which, for the population
question
Pool of HW problems Linear Functions Set up linear equation to solve problem (I) (1-2) DRAFT e ollowing exercises, consider this scenario: The weight of a newborm is 7.5 pounds. 1 a month for its first year. a. Find the linear function that models the baby's weight b. Find a reasonable domain and range for the function c. If the function W is graphed, find and interpret the x- and...
3. The population of a city is given by P 250000(1.25)n/20 where n is the n years after 2005. What is the population in 2035. 5 Marks 4. The sales of a small company were $ 27000 in its 2md operation and S 63000 in its 5 year of operation. Assume that the data can be year. Let y represent sales in the 10 approximated by a straight line. a. Find the slope of the sales line and give an...
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