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10. Exactly how many of the following statements are always true? (i) If f is continuous at 0 ar :) dx > 0, then f is differentiable at 0. (ii) The definite integral of a continuous function h over [a, b] is a function H such that / h(x) dx = H(b) – Ha). (iii) A continuous function g has a local minimum at a number c if and only if c is a critical number of g. (iv) If a is a critical number of a polynomial, then the 2nd derivative test is always preferable over the 1st derivative test when checking for extrema at a. (A) 0 (B) 1 (C) 2 (D) 3 (E) 4

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Trinidad Tremblay
Trinidad TremblayLv2
19 Jun 2018
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