Are the following statement forms logically equivalent: p ? q ? p and p ? (? p ? q)? Include a truth table and a few words explaining how the truth table supports your answer.
What will be an ideal response?
The statement forms are not logically equivalent.
Truth table:
Explanation: The truth table shows that p ? q ? p and p ? (? p ? q) have different truth values in
rows 3 and 4, i.e, when p is false. Therefore p ? q ? p and p ? (? p ? q) are not logically equivalent.
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Find the derivative of the function.s = sin 
- cos 
A. 
cos 
- 
sin 
B. - 
cos 
- 
sin 
C. cos 
+ sin 
D. 
cos 
+ 
sin 
Evaluate the integral by first transforming it into integrable form with an appropriate algebraic substitution.
dx
A. 
(x - 2)11/4 + 
(x - 2)7/4 + C
B. 
(x - 2)7/4 + 
(x - 2)3/4 + C
C. 4(x - 2)11/4 + 8(x - 2)7/4 + C
D. 
(x - 2)2 + 2(x - 2) + C
Perform the operation.24five ? 3five
A. 132five B. 112five C. 123five D. 213five
Provide an appropriate response.Points represent:
A. an additional cost of financing B. monthly payments C. 2 percent of the amount borrowed D. a 3 percent up front payment