Provide an appropriate response.Prove that the function f is one-to-one.f(x) = x3 - 4
What will be an ideal response?
Assume that f(a) = f(b) for any numbers a and b in the domain of f.
Since f(a) = a3 - 4 and f(b) = b3 - 4, we have
a3 - 4 = b3 - 4
a3 = b3
a = b
Thus if f(a) = f(b) then a = b and f is one-to-one.
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Determine whether the following is always true or not always true. Given reasons for your answers.u × (v + w) = u × v + u × w
What will be an ideal response?
Calculate the flux of the field F across the closed plane curve C.F = e4xi + e2yj; the curve C is the closed counterclockwise path around the triangle with vertices at 
(4, 0), and (0, 2)
A. 0
B. 
e16(1 - e-16) + 1(e4 - 1) - 6
C. 
e16(1 - e-4) + 1(e4 - 1) + 6
D. 
e16( e-4 - 1) + 1(1 - e4) - 6
Solve the equation.6p - 5 = 7p - 8
A. {4} B. {-3} C. {3} D. {2}
Use the figure below to answer the question. Round the answer to two decimal places.
 FIGURE.png)
Find x.
(a) 4.83
(b) 3.47
(c) 7.20
(d) 6.95