Select letters to represent the simple statements and write each statement symbolically by using parentheses then indicate whether the statement is a negation, conjunction, disjunction, conditional, or biconditional.If people drive small cars then people will use less fuel and the ozone hole will not expand.

A. p ? (q ? ~r); conditional
B. (p ? q) ? ~r; conjunction
C. (p ? q) ? ~r; disjunction
D. p ? (q ? ~r); conditional


Answer: D

Mathematics

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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = sin yi + xzj + 4zk ; D: the thick sphere 1 ? x2 + y2 + z2 ? 4

A. ?
B. 112?
C. 32?
D. ?

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Find the logarithm using the change-of-base formula. Round to the nearest ten-thousandth.log? 600

A. 5.5882 B. 0.1789 C. 524.1415 D. 2.0362

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Provide an appropriate response.If f(x) = 4x3 + 7x2 - 5x - 3, find f'''(x).

Fill in the blank(s) with the appropriate word(s).

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Divide the polynomial by the monomial.

A. 10x4 + 7x3 - 2
B. 10x2 + 7- 2
C. 5x4 x3 - 1
D. 10x4 + 7- 2x2

Mathematics