The temperature in a certain city is modeled by T(x) = 37+21 sin (х-91) 365 where T(x) is the temperature in degrees Fahrenheit on day x, with x = 1 corresponding to January 1 and x= 365 correspc (a) Use a calculator to estimate the temperature on day 200. (b) Use a calculator to estimate the temperature on June 13. (a) The temperature on day 200 will be about °. (Do not round until the final answer. Then round to the nearest integer as needed.)

Q: The table gives the outside temperature in degrees Fahrenheit on a winter day in Death Valley,…

A: In this case , Average rate of change is ratio of difference in temperature to difference in time

Q: A system of equations is written in matrix form below: Q 3000 1000 R 12000 10000 b 2000 1000 3000…

A: We can solve this using gauss Jordan elimination

Q: Ex=1/e2

A: Ex=1/e2 => Ex=e-2

Q: In Exercises 25-34, find an equation of the tangent line at the point speci- fied.

A: y=cscx-cotx We need to find the equation of the tangent line at x=π4

Q: Assume that the rate of change of air pressure with altitude (distance above the earth) is…

A: Topic:- Differential equation

Q: tan¬'(t)+2t² t > 0 t f(t) = t = 0 a ,btan-'(t) t < 0 Find any real number for both a, and b, that…

A: Consider the given function, ft=tan-1t+2t2t   t&gt;0a                     t=0ebtan-1t…

Q: (a) Fit a simple linear regression model to the data using least squares method. (b) Find the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1851,a person sold a house to a lady for $ 30.. If the lady had put the 36 info a bank acout paying…

A: The compound interest formula is , where A is the final amount, P is the principle amount, r is the…

Q: -8 31.sec (x-y) if csc x=513 and kay="1/5

A: We know, sec(x-y)=1+secxsecytanxtany

Q: How strong is the relationship between the average monthly temperature and the number of homicides…

A: The question is based on a correlation Given data :

Q: A C 30 20 10 О У 60 40 - 20 2 WA WA 2 4 Б В D + у 30 20 10 у 30 20 10 5 5 10 10 15 X

A: proportional relationship between x and y means that ratio between x and y is always same.i.e.,

Q: Suppose that the local newspaper reported that Millerville and Big Lake both had 50 murders last…

A: Given information: It is given that, the local newspaper reported that Millersville and Big lake…

Q: A. Consider a 100-meter track used for foot races. The time it takes for a ru run the track can be…

A:

Q: The height in feet of a rocket t seconds after launch is modeled by h(t) = -16t² + 72t. Find its…

A: This question can be solved using the concept of functions.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.