Determine whether the given expression is a monomial (Yes or No). For those that are monomials, state the coefficient and degree.
x6
A. yes; coefficient ; degree 3
B. yes; coefficient ; degree 6
C. yes; coefficient 6; degree
D. no
Answer: B
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Sketch the graph and show all local extrema and inflection points.y = -x4 + 2x2 - 7
A. Absolute maxima: (-1, -6), (1, -6)
Local minimum: (0, -7)
No inflection points
B. Absolute minima: (-1, 6), (1, 6)
Local maximum: (0, 7)
Inflection point: ,
C. Absolute maxima: (-1, -6), (1, -6)
Inflection points: ,
D. Absolute maxima: (-1, -6), (1, -6)
Local minimum: (0, -7)
Inflection points: ,
Solve by using the quadratic formula.6x2 - 11x - 2 = 0
A. - , 2
B. -6, 2
C. - ,
D. - , 6
Translate the statement into an equation. Let the unknown number be represented by x. Then solve the equation for the unknown number.The quotient of some number and 25 is 40.
A. 25x = 40; x =
B. x + 25 = 40; x = 15
C. = 40; x = 1000
D. = 25; x = 1000
Use logarithmic differentiation to find the derivative of y.y = (x3 + 1)3(x - 1)2x4
A. +
+
B. (x3 + 1)3(x - 1)2x4(3ln(x3 + 1) + 2ln(x - 1) + 4ln x)
C. (x3 + 1)3(x - 1)2x4
D. (x3 + 1)3(x - 1)2x4