Which reasoning process is shown in the following example?If Mary goes to the mall, she gets ice cream. Mary did not get ice cream. We conclude Mary did not go to the mall.
A. theoretical reasoning
B. deductive reasoning
C. reasoning by counterexample
D. inductive reasoning
Answer: B
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Use the given values of a and b and express the given limit as a definite integral.
?xk, a = -?/5, b = 0
A. 
dx
B. 
dx
C. 
dx
D. 
dx
Solve the problem.Find the sum of the series 
by expressing 
as a geometric series, differentiating both sides of the resulting equation with respect to x, and replacing x by 
.
A. 
B. 
C. 
D. 
Write a negation for the statement.Some athletes are musicians.
A. Not all athletes are musicians. B. Some athletes are not musicians. C. No athlete is a musician. D. All athletes are musicians.
Provide an appropriate response.In right triangle ABC, with right angle C, side a = 3.5, b = 7.2, and c = 8, find the cos A. Round answer to the nearest ten-thousandth.
Fill in the blank(s) with the appropriate word(s).