Find the Jacobian
or
(as appropriate) using the given equations.

A. 2
B. -14
C. 14
D. -2
Answer: B
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Parametric equations 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 = 4 cos t, y = 4 sin t, ? ? t ? 2?
A. x2 + y2 = 1
Clockwise from (1, 0) to (1, 0), one rotation
B. x2 + y2 = 16
Counterclockwise from (-4, 0) to (4, 0)
C. x2 + y2 = 16
Clockwise from (4, 0) to (-4, 0)
D. x2 + y2 = 16
Counterclockwise from (4, 0) to (4, 0), one rotation
Evaluate the line integral along the curve C.ds , C is the curve r(t) = (5t7 cos t)i + (5t7 sin t)j + 5t7k , 0 ? t ? 7
A. (4 -
)
B. (4 -
)
C. 0
D. (4 +
)
Read the following water meter, electric meter, and dial gauge.
A. -0.220 in. B. 0.220 in. C. 0.120 in. D. -0.120 in.
Determine if the function is even, odd, or neither.f(x) =
A. Even B. Odd C. Neither