Homework Answers
Daylight hours in New Jersey can be modeled H = 12.5 - 4 sin 3 (x...
Daylight hours in New Jersey can be modeled H = 12.5 - 4 sin 3 (x + 152), where his hours and t is the day of the year such that t=1 is January 1, t-30 is January 30, t-32 is February 1, t=365 is December 31, etc a) What is the maximum number of daylight hours in New Jersey b) What is the minimum number of daylight hours in New Jersey c) What is the period of this function?...
The number of hours of daylight, H, on day t of any given year (on January...
The number of hours of daylight, H, on day t of any given year (on January 1, t= 1) in a particular city can be modeled by the function H(t) = 12 + 8.5 sin (t-76). a. March 17, the 76th day of the year, is the spring equinox. Find the number of hours of daylight in the city on this day. b. June 17, the 168th day of the year, is the summer solstice, the day with the maximum...
Use the unit circle to find the value of sin and even or odd trigonometric Select...
Use the unit circle to find the value of sin and even or odd trigonometric Select the correct choice below and in any answer boxes within your choice functions to find the value of sin ( - ). OA 4 sin (Type an exact answer, using radicals as needed. Simplify your answer Rationalize the denominator) OB. The expression is undefined Select the correct choice below and fill in any answer boxes within your choice ОА G 6) (Type an exact...
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...
15. The graph of which trigonometric function(s) include the point (0,2)? Select all that apply. (3...
15. The graph of which trigonometric function(s) include the point (0,2)? Select all that apply. (3 points) y = cos x + 1 y = 2 cos x y = sin x + 1 y = tan x + 1 f(x) = sin(x+y)+1 16. The data in the table represents the average number of daylight hours each month in Springfield in 2015, rounded to the nearest quarter-hour. (4 points) Month Hours January 9.5 February 10.5 March 12 April 13.25 May...
can you please do number 1 and number 2 and show the steps Answer all questions...
can you please do number 1 and number 2 and show the
steps
Answer all questions in the spaces provided. Show all WU! Write Sec (1- sin" @) as a monomial containing a single function in simplest for GEEST 2. Prove each of the following identities: csc sin = 1 + tan cosa tan 8 + cote = sec2 csce cos sin 2 sin x cos x C 2 tan x - = + tan2 x 1 3 a. Graph...
2) Find the area of the region enclosed by each group of equations. a) y x, y sin x, b) y x2-2x, y= x+ 4 x 3) A part...
2) Find the area of the region enclosed by each group of equations. a) y x, y sin x, b) y x2-2x, y= x+ 4 x 3) A particle moves along a straight line with a velocity of 5 cm/s and then accelerates at a rate of a(t) t2+2. What is its displacement after 5 seconds of acceleration (acceleration is in cm/s2) 4) A cylindrical can (radius 10 millimeters) is used to measure rainfall in Stormville. The can is initially...
answer all with clear handwriting please. 2. (4 points) Let f(x) = x - 9x -...
answer all with clear handwriting please.
2. (4 points) Let f(x) = x - 9x - 36x”. Find the zeros of the function algehraically (by factoring). and give the exact multiplicity for each zero (not just odd/even). State the behavior of the graph at each zero (whether the graph crosses the x-axts or touches the x-axts and turns around at each zero). Zero Multiplicity Behavior 3. (4 points) Solve the following inequality and graph the solution set on a Real...
On a typical day, the snow on a mountain melts at a rate modeled by the function A snow maker adds snow at a rate modeled by the function S(t) - 0.006t-0.12t + 0.89. Both M and S have units in inc...
On a typical day, the snow on a mountain melts at a rate modeled by the function A snow maker adds snow at a rate modeled by the function S(t) - 0.006t-0.12t + 0.89. Both M and S have units in inches per hour and t is measured in hours for O s t s 4. At t -o, the mountain has 40 inches of snow. (Round your answers to two decimal places (a) How much snow will melt during...
Please show all work. Thank you! 2. Sections 4.3,4.5,4.6 Graphing:Consider the function f (x) = sin(2x)...
Please show all work. Thank
you!
2. Sections 4.3,4.5,4.6 Graphing:Consider the function f (x) = sin(2x) + cos(2x)on the interval [0, 1]. For this question, give your answers to parts a,b,c in interval notation. a. Find the intervals on which f is increasing or decreasing b. Find the local maximum and local minimum values of f c. Find the intervals of concavity d. Give the inflection points (if any) e. Sketch the graph of f. Be sure to label and...
Daylight hours in New Jersey can be modeled H = 12.5 - 4 sin 3 (x + 152), where his hours and t is the day of the year such that t=1 is January 1, t-30 is January 30, t-32 is February 1, t=365 is December 31, etc a) What is the maximum number of daylight hours in New Jersey b) What is the minimum number of daylight hours in New Jersey c) What is the period of this function?...
The number of hours of daylight, H, on day t of any given year (on January 1, t= 1) in a particular city can be modeled by the function H(t) = 12 + 8.5 sin (t-76). a. March 17, the 76th day of the year, is the spring equinox. Find the number of hours of daylight in the city on this day. b. June 17, the 168th day of the year, is the summer solstice, the day with the maximum...
Use the unit circle to find the value of sin and even or odd trigonometric Select the correct choice below and in any answer boxes within your choice functions to find the value of sin ( - ). OA 4 sin (Type an exact answer, using radicals as needed. Simplify your answer Rationalize the denominator) OB. The expression is undefined Select the correct choice below and fill in any answer boxes within your choice ОА G 6) (Type an exact...
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...
15. The graph of which trigonometric function(s) include the point (0,2)? Select all that apply. (3 points) y = cos x + 1 y = 2 cos x y = sin x + 1 y = tan x + 1 f(x) = sin(x+y)+1 16. The data in the table represents the average number of daylight hours each month in Springfield in 2015, rounded to the nearest quarter-hour. (4 points) Month Hours January 9.5 February 10.5 March 12 April 13.25 May...
can you please do number 1 and number 2 and show the
steps
Answer all questions in the spaces provided. Show all WU! Write Sec (1- sin" @) as a monomial containing a single function in simplest for GEEST 2. Prove each of the following identities: csc sin = 1 + tan cosa tan 8 + cote = sec2 csce cos sin 2 sin x cos x C 2 tan x - = + tan2 x 1 3 a. Graph...
2) Find the area of the region enclosed by each group of equations. a) y x, y sin x, b) y x2-2x, y= x+ 4 x 3) A particle moves along a straight line with a velocity of 5 cm/s and then accelerates at a rate of a(t) t2+2. What is its displacement after 5 seconds of acceleration (acceleration is in cm/s2) 4) A cylindrical can (radius 10 millimeters) is used to measure rainfall in Stormville. The can is initially...
answer all with clear handwriting please.
2. (4 points) Let f(x) = x - 9x - 36x”. Find the zeros of the function algehraically (by factoring). and give the exact multiplicity for each zero (not just odd/even). State the behavior of the graph at each zero (whether the graph crosses the x-axts or touches the x-axts and turns around at each zero). Zero Multiplicity Behavior 3. (4 points) Solve the following inequality and graph the solution set on a Real...
On a typical day, the snow on a mountain melts at a rate modeled by the function A snow maker adds snow at a rate modeled by the function S(t) - 0.006t-0.12t + 0.89. Both M and S have units in inches per hour and t is measured in hours for O s t s 4. At t -o, the mountain has 40 inches of snow. (Round your answers to two decimal places (a) How much snow will melt during...
Please show all work. Thank
you!
2. Sections 4.3,4.5,4.6 Graphing:Consider the function f (x) = sin(2x) + cos(2x)on the interval [0, 1]. For this question, give your answers to parts a,b,c in interval notation. a. Find the intervals on which f is increasing or decreasing b. Find the local maximum and local minimum values of f c. Find the intervals of concavity d. Give the inflection points (if any) e. Sketch the graph of f. Be sure to label and...
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