Write the compound statement in symbols. Then construct a truth table for the symbolicstatement.Let r = "The food is good," p = "I eat too much,"q = "I'll exercise."If I exercise, then I won't eat too much.
A. q ? ~p
| T | T | F |
| T | F | T |
| F | T | T |
B. ~(p ? q)
| T | T | T |
| T | F | T |
| F | T | F |
C. q ? ~p
| T | T | T |
| T | F | F |
| F | T | T |
D. ~(p ? q)
| T | T | F |
| T | F | T |
| F | T | F |
Answer: A
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (cosh t)i + (sinh t)j + tk
A. T = 
(tanh t)i + 
j + 
(sech t)k; N = (sech t)i - (tanh t)k
B. T = - 
(tanh t sech t)i + 
j + 
(sech t)k; N = (-sech t)i - (tanh t)k
C. T = 
(tanh t sech t)i + 
j + 
(sech t)k; N = (sech2 t)i - (sinh t)k
D. T = - 
(tanh t)i + 
j + 
(sech t)k; N = (-sech t)i - (sinh t)k
Tell whether the statement is true or false.Some rational numbers are integers.
A. True B. False
Provide an appropriate response.Write the steps you would use to solve this equation: 3(x - 1) + 5x = -9x.
What will be an ideal response?
Solve the problem.If y varies directly as the square root of x, and y = 4 when x = 16, find y when x = 36.
A. 9
B. 
C. 
D. 6