Decide if the given value of x is a critical number for f, and if so, decide whether the point is a relative minimum, relative maximum, or neither.f(x) = 4x5 - 5x4; x = 1
A. Critical number but not an extreme point
B. Critical number, relative maximum at (1, -1)
C. Not a critical number
D. Critical number, relative minimum at (1, -1)
Answer: D
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Multiply and simplify any radicals in your answer. Assume that all variables represent positive real numbers.(11
)(7
)
A. 154
B. 77
C. 154
D. 308
Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.f(x) = 5-x + 3
A. domain: (-?, ?); range: (3, ?)
horizontal asymptote: y = 3
B. domain: (-?, ?); range: (3, ?)
horizontal asymptote: y = 3
C. domain: (-?, ?); range: (5, ?)
horizontal asymptote: y = 5
D. domain: (-?, ?); range: (5, ?)
horizontal asymptote: y = 5
Provide an appropriate response.When solving an exponential equation using logarithms, when is it easier to use natural logarithms?
What will be an ideal response?
Find the unit vector that has the same direction as the vector v.v = 8i
A. u = 
i
B. u = i
C. u = 8i
D. u = 64i