Write down the three forms of the double-angle identity for cosine.

Find the derivative of the function.​ ​

Determine the limit (if it exists).      

The daytime temperature (T, in degrees Fahrenheit) in a city as a function of time (t, in months, with t=1 corresponding to January in the first year) is given by T(t)=30cos(π6t)+45{“version”:”1.1″,”math”:”T(t)=30cos(π6t)+45″} Include appropriate units on your answers. a) What’s the maximum temperature in the city? Minimum? b) What is the period of this function? c) When does the temperature first reach 50 degrees Fahrenheit? You can leave your answer as an unsimplified expression.

a) Triangle ABC has a = 3, B = 40 degrees, and C = 70 degrees. Solve the triangle. You can leave answers as unsimplified expressions. b) Triangle ABC has A = 60 degrees, a = 3, b = 10. How many solutions does this triangle have? c) Triangle ABC has A = 135 degrees, a = 20, b = 10. How many solutions does this triangle have? Drawing a rough sketch on your scratch paper might help for (b) and (c).

Complete the table by computing f(x) at the given values of x, accurate to five decimal places. Use the results to guess the indicated limit, if it exists, to three decimal places.  

In glycolysis, pyruvate kinase is activated by fructose-1,6-bisphosphate because

Use the graph to determine the following limits. ​ (i)   (ii)   (iii) ​ ​

Which of the following is TRUE regarding protein-DNA interactions?

Find an equation of the tangent line to the graph of f at the given point. ​ , at