Use the accompanying radiation levels in  for 50 different cell phones. Find the percentile  

 

0.19     0.21      0.33      0.49      0.59      0.64      0.65      0.66      0.76      0.87 

0.87     0.90      0.91      0.91      0.95      0.96      1.00      1.02      1.05      1.11 

1.12     1.12      1.13      1.14      1.14      1.15      1.17      1.17      1.18      1.18 

1.18     1.24      1.27      1.28      1.29      1.29      1.30      1.31      1.31      1.32 

1.34     1.34      1.37      1.44      1.44      1.48      1.49      1.51      1.53      1.53

 

 = ___  (Type an integer or a decimal. Do not round.)

 

Long Problems. In questions 2–6, show your work. No credit will be given for the answer without the correct accompanying work. [9] 2. Let f(x) = . Use the definition of the derivative to find f'(1). No marks will be given for the use of any differentiation rules.

Values of Trigonometric Functions Find the value of the trigonometric function. If possible, give the exact value; otherwise, use a calculator to find an approximate value rounded to five decimal places.

+ 1. In all of this question let f(x) = + (a) Find f'(x) and simplify. [4 points) (b) Find the equation of the tangent line to the curve y = f(x) that is parallel to the line 110 + 64y = 75 and whose point of tangency (C,y) satisfies x, y > 0. Give your answer in the form Ac + By = C where A, B, C are integers and A >0.R [7 points) (c) Assume g is a differentiable function such that g(0) = g(2) = 9' (2) = 2 and g'(0) = 4. Find A when x = 0 where A(x) = g(x)g(f(x)). 15 points)