The rainfall per day, x days after the beginning of the year, is modeled by the...
The rainfall per day, x days after the beginning of the year, is modeled by the function r(x) = 0.00003(6511 + 366x − x2),
measured in centimeters. Find the average daily rainfall for the first 170 days of the year.
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The rainfall per day, x days after the beginning of the
year, is modeled by the...
1) Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know...
1) Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 95 degrees occurs at 3 PM and the average temperature for the day is 75 degrees. Find the temperature, to the nearest degree, at 7 AM. 2) Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 67 and 103 degrees during the day and the average daily temperature first occurs...
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the...
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 88 degrees occurs at 3 PM and the average temperature for the day is 75 degrees. Find the temperature, to the nearest degree, at 6 AM. Preview degrees Outside temperature over day and the average daily temperature first occurs at 8 AM. How many hours after midnight, to two decimal places, does the temperature first reach 58 degrees? a day can...
3. Aflu epidemic hits a college community, beginning with 10 cases on day t=0. The rate...
3. Aflu epidemic hits a college community, beginning with 10 cases on day t=0. The rate of growth of the epidemic (i.e. number of new cases per day) is given by the following function: r(0) = 30er where "p" is the number of days since the epidemic began. a. Find the average number of flu cases (Av) in the first 12 days (t=12). b. Find a formula for the total number of cases of flu, N(t), in the first "t"...
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the...
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 80 and 90 degrees during the day and the average daily temperature first occurs at 8 AM. How many hours after midnight, to two decimal places, does the temperature first reach 81 degrees? Uploaded Work in Canvas = 3 pts Preview hours
1. Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know...
1. Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature for the day is 82 degrees and the low temperature of 68 degrees occurs at 3 AM. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t. D(t)= 2. A population of rabbits oscillates 18 above and below an average of 62 during the year, hitting the lowest value in January...
In Philadelphia the number of hours of daylight on day t (where t is the number of days after Jan
In Philadelphia the number of hours of daylight on day t (where t is the number of days after Jan. 1) is modeled by the functionL(t)= 12+2.83sin(2pi/365(t-365))A) Which days of the year have about 10 hours of daylight?B) Which days of the year have more than 10 hours of daylight?
A company determines that its marginal revenue per day is given by R'(t), where R(t) is...
A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' (t), where C(t) is the total accumulated cost, in dollars, on the th day. R' (t) = 140 e'. R(O)=0; C' (t) = 140 -0.75, C(O) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)...
Q.1 Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the ...
Q.1 Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 83 degrees occurs at 6 PM and the average temperature for the day is 65 degrees. Find the temperature, to the nearest degree, at 10 AM. (Answer: degrees) Q.2 Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 60 and 90 degrees during the day and the average daily temperature...
question 49 and then43 20-sec period after the booster rocket was activated. Hint: The distance is...
question 49 and then43
20-sec period after the booster rocket was activated. Hint: The distance is given by Jd 48. TABLET CoMPUTERS Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in accordance with the function f(r) = 0.13° + 0.16t + 2.64 6) (0 t 54· Cr per year, where t is measured in years, How many tablet computers will be sold over the next 6 years? in 49. CREDIT CARD...
4. The time, t, that a butterfly lives after emerging from its chrysalis can be modeled...
4. The time, t, that a butterfly lives after emerging from its chrysalis can be modeled by the probability function 36 20 0, otherwise f(t) , where t is measured in days. a. Sketch the graph of f(t). (What are the x- and y axes labels?) b. Shade the region on your graph that represents the probability that a butterfly will die within 7 days of emerging. c. Compute the probability that a butterfly will die within 7 days of...
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 88 degrees occurs at 3 PM and the average temperature for the day is 75 degrees. Find the temperature, to the nearest degree, at 6 AM. Preview degrees Outside temperature over day and the average daily temperature first occurs at 8 AM. How many hours after midnight, to two decimal places, does the temperature first reach 58 degrees? a day can...
3. Aflu epidemic hits a college community, beginning with 10 cases on day t=0. The rate of growth of the epidemic (i.e. number of new cases per day) is given by the following function: r(0) = 30er where "p" is the number of days since the epidemic began. a. Find the average number of flu cases (Av) in the first 12 days (t=12). b. Find a formula for the total number of cases of flu, N(t), in the first "t"...
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 80 and 90 degrees during the day and the average daily temperature first occurs at 8 AM. How many hours after midnight, to two decimal places, does the temperature first reach 81 degrees? Uploaded Work in Canvas = 3 pts Preview hours
A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' (t), where C(t) is the total accumulated cost, in dollars, on the th day. R' (t) = 140 e'. R(O)=0; C' (t) = 140 -0.75, C(O) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)...
question 49 and then43
20-sec period after the booster rocket was activated. Hint: The distance is given by Jd 48. TABLET CoMPUTERS Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in accordance with the function f(r) = 0.13° + 0.16t + 2.64 6) (0 t 54· Cr per year, where t is measured in years, How many tablet computers will be sold over the next 6 years? in 49. CREDIT CARD...
4. The time, t, that a butterfly lives after emerging from its chrysalis can be modeled by the probability function 36 20 0, otherwise f(t) , where t is measured in days. a. Sketch the graph of f(t). (What are the x- and y axes labels?) b. Shade the region on your graph that represents the probability that a butterfly will die within 7 days of emerging. c. Compute the probability that a butterfly will die within 7 days of...
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