Solve the system of equations by use of determinants. 4x - 7y + 7z = 9-6x + 4y + 4z = 20 3x - 9y - 2z = -52
A. x = 5, y = 4, z = 5
B. x = 4, y = -6, z = -5
C. x = 6, y= 5, z = 6
D. x = 4, y = 6, z = 5
Answer: D
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Find the gradient field of the function.f(x, y, z) = 
A. ?f = - 
i - 
j - 
k
B. ?f = - 
i - 
j - 
k
C. ?f = 
i + 
j + 
k
D. ?f = 
i + 
j + 
k
Provide an appropriate response.True or false? Consider the double integral
The first step in calculating this integral involves integrating with respect to y.
A. True B. False
Use the product rule to multiply. Assume all variables represent positive real numbers.
? 
A. 12m2 B. -2m C. 12 D. 7m
Write an equation to describe the situation.Mike is on vacation in Costa Rica. He has a budget of $910 for accommodation. He will stay as long as his budget allows. The more expensive hotel costs $66 per night and the budget hotel costs $43 per night. He plans to stay 7 more nights in the budget hotel than in the expensive hotel. Find the number of nights n that he will stay at the expensive hotel.
A. 43(n + 7) + 66 = 910n B. 43(n + 7) + 66n = 910 C. 43(n - 7) + 66n = 910 D. 43n + 66(n + 7) = 910