Graph the equation.(x - 2)2 = 2(y - 2)
A.
B.
C.
D.
Answer: B
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At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested.2x2y - ? cos y = 3?, tangent at (1, ?)
A. y = -2?x + ?
B. y = -2?x + 3?
C. y = ?x
D. y = - x +
Find the interval of convergence of the series.
A. 1 < x < 3 B. 1 ? x < 3 C. x < 3 D. -3 < x < 3
Perform the following calculations.(+8)(-7) - (-1)(-21)
A. -35 B. -19 C. -77 D. -21
Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = -5x + xy y'(t) = 3y - xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0,(c) find the equilibrium points for the system.
A. (a) x' = 0 along the lines x = 5 and y = 0
(b) y' = 0 along the lines y = 3 and x = 0
(c) (0, 0) and (5, 3)
B. (a) x' = 0 along the lines x = 0 and y =
(b) y' = 0 along the lines y = 0 and x =
(c) (0, 0) and
C. (a) x' = 0 along the lines x = 0 and y = 5
(b) y' = 0 along the lines y = 0 and x = 3
(c) (0, 0) and (3, 5)
D. (a) x' = 0 along the lines x = and y = 0
(b) y' = 0 along the lines y = and x = 0
(c) (0, 0) and