For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.f(x) =
2(x + 4)3
A. - , multiplicity 2, touches x-axis; -4, multiplicity 3, crosses x-axis
B. , multiplicity 2, touches x-axis; 4, multiplicity 3, crosses x-axis
C. , multiplicity 2, crosses x-axis; 4, multiplicity 3, touches x-axis
D. - , multiplicity 2, crosses x-axis; -4, multiplicity 3, touches x-axis
Answer: A
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Use implicit differentiation to find dy/dx.2xy - y2 = 1
A.
B.
C.
D.
Find the function with the given derivative whose graph passes through the point P.f'(x) = x2 + 9, P(0, 6)
A. f(x) = x3 + 9x2 + 6
B. f(x) = + 9x + 6
C. f(x) = + 9x
D. f(x) = x3 + 9x + 6
Solve.Two points, A and B, are on opposite sides of a building. A surveyor chooses a third point, C, 61 yd from B and 103 yd from A, with angle ACB measuring 57.1°. How far apart are A and B to the nearest yard?
A. 96 yd B. 114 yd C. 87 yd D. 105 yd
Add the given pair of complex numbers geometrically.z1 = -11 + 4i, z2 = 3
A. -14 + 4i B. -8 + 4i C. -14 + 7i D. -8 + 7i