Solve the system of equations. If the system is inconsistent or has dependent equations, say so. x - y + 8z = -107 x + 2y = 212x + y + 8z = -80
A. ?; inconsistent system
B. {(x, y, z)|2x + y + 8z = -80}; dependent equations
C. {(5, 8, 0)}
D. {(5, 8, -13)}
Answer: A
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Solve the problem.Consider a small region inside an elastic material such as gelatin. As the material "jiggles", this small region oscillates about its equilibrium position (x0, y0, z0). The force that tends to restore the small region to its equilibrium position can be approximated as F = - k(x - x0)i - k(y - y0)j - k(z - z0)k Find a potential function f for this force field.
What will be an ideal response?
Tell whether the statement is true or false.{x | x is a counting number greater than 36} = {36, 37, 38, ...}
A. True B. False
Use the table to find the instantaneous velocity of y at the specified value of x.x = 1.
A. 1 B. 0.5 C. 1.5 D. 2
Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
y = 
y = -1
A. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = 1, f(x) is not differentiable at 
B. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = -1, f(x) is not differentiable at 
C. Since limx?-1+ f '(x) = -1 while limx?-1- f '(x) = 0, f(x) is not differentiable at 
D. Since limx?-1+ f '(x) = 0 while limx?-1- f '(x) = 0, f(x) is differentiable at 