Provide an appropriate response.True or False? If you decrease the amount of water in the cup, you'll decrease the pH of the water in the cup.
A. True
B. False
Answer: B
Mathematics
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Provide an appropriate answer.Suppose that w = x2 + y2 + 12z + t and x + 3z + t = -7. Assuming that the independent variables are x, y, and z, find 
.
A. 
= 2x + 4
B. 
= 2x - 1
C. 
= 2x - 4
D. 
= 2x + 1
Mathematics
Compute the gradient of the function at the given point.
A. - 
i - 
j + 
k
B. 
i - 
j + 
k
C. 
i - 
j + 
k
D. - 
i - 
j + 
k
Mathematics
Solve the problem.Find any local extrema (maxima, minima, or saddle points) of 
given that 
and 
A. Local minimum at 
B. Local maximum at 
C. Saddle point at 
D. Saddle point at 
Mathematics
Evaluate the definite integral.
A. 
(25/4 - 1)
B. 
(25/4 - 1)
C. 
D. 
(25/4 - 1)
Mathematics