Decide whether the graph represents a function.
A. Function
B. Not a function
Answer: A
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Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 2 cos t, y = 2 sin t, ? ? t ? 2?
A. x2 + y2 = 4; Counterclockwise from
(2, 0) to (2, 0), one rotation
B. x2 + y2 = 4; Clockwise from (2, 0) to (-2, 0)
C. x2 + y2 = 1; Clockwise from
(1, 0) to (1, 0), one rotation
D. x2 + y2 = 4; Counterclockwise from
(-2, 0) to (2, 0)
Suppose that the graph of y = is drawn on a coordinate grid where the unit of measurement is an inch. How many miles to the right of the origin do we have to move before the height of the curve reaches 2 ft? Rounded to the nearest mile.
a. 754.9 mi b. 4,457,536.9 mi c. 53,490,543 mi d. 53,490,442.5 mi e. 53,490,343 mi
The function f is one-to-one. Find its inverse.f(x) = (x + 2)3 - 8.
A. f-1(x) = - 2
B. f-1(x) =
C. f-1(x) = + 8
D. f-1(x) =
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution.
A. x1 = -20 + 11x3 x2 = 7 - 4x3 x3 is free B. x1 = -20 + 11x3 x2 = 7 - 4x3 x3 = 2 C. No solution D. x1 = -6 - 2x2 + 3x3 x2 is free x3 is free