Solve the problem.A certain radioactive isotope decays at a rate of 0.225% annually. Determine the half-life of this isotope, to the nearest year.

Differentiate.f(x) = x(7.1)x

Find the points of inflection.f(x) = x3 + 8x + 2

Find the absolute maximum and absolute minimum values of the function, if they exist, over the indicated interval. When no interval is specified, use the real line (-∞, ∞). f(x) = 2x – 5; [-1, 2]

Find the points of inflection, if they exist.f(x) = 4x – x3

Extra credit Matching: Match the following terms with their meaning.   1. Angio- A. Fat 2. Gloss- B. Against, opposite 3. -morph- C. Muscle 4. Bio- D. Tongue 5. Lip- E. Vessel 6. -ectomy F. To cut out 7.Contra- G. Form 8. Myo- H. Live

Solve the following limits. Be sure to justify your work and state any theorems used. (3 points)   

 Let 

Find the equation of the tangent line for

Complete the table below for the angles in the first and second quadrants of the unit circle. (You are welcome to draw the unit circle rather than use a table if you wish). Degrees Radians Coordinate Point (x,y) 0° 30° 45° 60° 90° 120° 135° 150° 180°