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Let D(t) be the length of the tth day of the year 2013 in Mumbai, India, measured in hours, from sunrise to sunset. Three values are known:
For locations close to the equator such as Mumbai, the function D(t) is well-approximated by the trigonometry function in the form:
D(t)= a + b cos (2πt/365) + c sin (2πt/365)
1. Find a, b, and c, correct to two decimal places, and thus the model for Mumbai.
2. Use your model to determine the length of longest day of the year in Mumbai (correct to the nearest hundredth of an hour).
a national study found that treating people appropriately for high blood pressure reduced their overall mortality by
Attendance at the Fireman's Ball has been declining. Each year, the number attending is 2/3 of the previous year's attendance and the cost of food is 3/4 that of the previous year.
questionnbspall pupils take mathematics m 18 take chemistry c 17 take biology b and 24 take physics p of those taking 3
In 2001, 400 seat Boeing 747s were priced at $200 million each, 300 seat Boeing 777s were priced at $160 million, and 200 passenger Airbus A321s were priced at $60 million.
suppose a dollar placed into an account triples every 12 years. How much will be in the account after 60 years?
a rectangular pig pen is built against an existing brick fence. 24m of fencing was used to enclose 70m^2. find the dimensions of the pen.
use taylors expansion to arrange the function in ascending order.use taylor expansion to put the following four
Could the statement in the brochure be substantiated on the basis of these findings? Test with .05 significance level. Also calculate the P-value and interpret the result.
On standard IQ tests, the mean is 90 and the standard deviation is 16. The results are very close to fitting a normal curve. Suppose an IQ test is given to a very large group of people. Find the percent of people whose IQ score is more then 90.
Let S be the part of the plane 2x+2y+z=2 which lies in the first octant, oriented upward. Find the flux of the vector field F=4i+1j+2k across the surface S.
Find a single 3 × 3 matrix A for which all of the following properties are true: a) The kernel of A is the line spanned by the vector $vec{v_1} = begin{bmatrix}1\1\1end{bmatrix}$
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
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