Exercise 7. Let y(t) = eit for 0

Find the domain and range of the function

The windchill index announced during the winter by the weather bureau measures how cold it "feels" for a given temperature t (in degrees Fahrenheit) and wind speed w (in miles per hour). It is calculated by the formula C(t, w) = 35.74 + 0.6215t - 35.75w 0.16 + 0.4275tw0.16 + '.+ If the temperature is 31 degrees and the wind speed is 10 miles per hour, estimate the change in the windchill temperature if the wind speed increases by 4 miles per hour and the temperature drops by 5 degrees. (Round your answer to two decimal places.)

Let X ~ Exp(λ). Find F(X) and E(X).

Exercise 5: Compute / f(x)g" (x) – g(x)f"(x) dx.

Please fill in the information for step 2 and use it to solve for the final answer.

Find the linear function f(x) passing through (6,8) and (8,10)    Enter answer in form f(x)=m(x-h)+v

Differentiate v1 – x² with respect to x.

A mountain climber uses the model T = 20 – 10h | to estimate the temperature T (in °C) at elevation h (in kilometers, km). (a) Make a table that gives the temperature for each 1-km change in elevation, from elevation 0 km to elevation 5 km. How does temperature change as elevation increases? (b) If the temperature is 5°C, what is the elevation?

Find p′(t), p′′(t), and p′′′(t) for the function p(t) = t^(100)+ 4e^(t)+ 16. (You can use rules or shortcuts, but you must write which rules you’re using.) Give clear steps and explanations.