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To disprove the following statement by counter-example, what do you need to demonstrate? “For all integers, a, b, and c, a2 + b2 ≠ c2.”  

Prove the following statement by proving the contrapositive.  “If n2 +1 is odd, then n is even, for all n ∈ ℤ.” Use good proof technique.  Grading rubric:1 pt. State the contrapositive at the beginning, then prove it.1 pt. State any givens and assumptions.1 pt. Clearly explain your reasoning.1 pt. State the final conclusion at the end of the proof. Note:  To avoid the need for typing superscript exponents, you may use the expression ‘n-squared’ or ‘n^2’ to represent n2.

Which of the following exposures should be considered when calculating the effective annual dose limit for an occupational worker?

The principle structure(s) of interest in this projection is/are the:

The correct sequence of air passage through the upper respiratory tract is the:

Consider the following statement: “The function f : ℤ+ ⟶ ℝ defined by f(x) = 1/x is surjective (onto).” What must you demonstrate to prove the statement?  [Prove] What must you demonstrate to disprove the statement?  [Disprove]

Which of the following is (are) example(s) of a nonstochastic effect attributable to exposure to relatively high levels of ionizing radiation?  1.  eye lens opacification  2.  epilation  3.  decrease leukocyte count  4.  decrease sperm count

Compared to a low ratio grid, a high ratio grid will  1.  absorb more primary radiation  2.  absorb more scattered radiation  3.  allow less centering latitude

Prove, or provide a counterexample to disprove, the following statement:             “The function f : ℕ ⟶ ℕ  be defined by f(n) = n2 + 5  is onto.” Use good proof technique. Grading rubric:1 pt. State the definition of onto at the beginning, then prove or disprove.1 pt. State any givens and assumptions.1 pt. Clearly explain your reasoning.1 pt. Remember to state the final conclusion at the end of the proof. Note:  To avoid the need for typing superscript exponents, you may use the expression ‘n^2’ or ‘n-squared’ to represent n2.

The term cyanosis refers to what?