Use Simpson’s Rule to approximate the av-erage value of the temperature function ƒ(x) = 37 sin (2pai /365 (x - 101)) + 25 for a 365-day year. This is one way to estimate the annual mean air temperature in Fairbanks, Alaska. The National Weather Service’s official figure, a numerical average of the daily normal mean air temperatures for the year, is 25.7°F, which is slightly higher than the average value of ƒ(x).
Use Simpson’s Rule to approximate the av-erage value of the temperature function
ƒ(x) = 37 sin (2pai /365 (x - 101)) + 25
for a 365-day year. This is one way to estimate the annual mean air temperature in Fairbanks, Alaska. The National Weather Service’s official figure, a numerical average of the daily normal mean air temperatures for the year, is 25.7°F, which is slightly higher than the average value of ƒ(x).
Expert Answer
Related Calculus Q&A
Q: Find e to as many decimal places as you can by solving the equation ln x = 1 using Newton’s method .
A: Find the derivative of function.
Q: Find, to two decimal places, the x-coordinate of the centroid of the region in the first quadrant bo...
A: Given the x-coordinate of the centroid of the region in the first quadrant bounded by the x-axis, th...
Q: y′+(tan t)y=sin t,y(π)=0
A: Determine an interval in which the solution of the given initial value problem is certain to exist a...
Q: The region between the curve y = 2/x and the x-axis from x = 1 to x = 4 is revolved about the x-axis...
A: Given information:
Q: In the fucntion: f(x)= (12-3x)(e^x) When is the function concave up and concave down in interval n...
A: Given,f(x)= (12-3x)(e^x) By definition,
Q: y″ + y′ − 6y = 0
A: given:
Q: How is the exponential function ex defined? What are its domain, range, and derivative? What laws of...
A: How is the exponential function ex defined? What are its domain, range, and derivative? What laws of...
Q: consider the equation f(x) =5x2 find the average rate of change between x=3 and x=3+x
A: Given: the equation f(x) =5x2 and find the average rate of change between x =3 and x =3+ x
Q: y′+(tan t)y=sin t,y(π)=0
A: Click to see the answer
