If is a differentiable function, find an expression for the derivative of 
What will be an ideal response?
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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 = 49t2, y = 7t, -? ? t ? ?
A. y = x2; Entire parabola, left to right (from
2nd quadrant to origin to 1st quadrant)
B. y = x2; Entire parabola, right to left (from
1st quadrant to origin to 2nd quadrant)
C. x = y2; Entire parabola, bottom to top (from
4th quadrant to origin to 1st quadrant)
D. x = y2; Entire parabola, top to bottom (from
1st quadrant to origin to 4th quadrant)
In the given voting system, the weights represent, in order, voters A, B, C, and so on. Determine which voters are critical in the indicated coalition.[12 : 1, 3, 5, 7] ; coalition {B, C, D}
A. Only C and D are critical. B. Only D is critical. C. Only B is critical. D. All are critical.
Solve the system of nonlinear equations.x2 + y2 = 5x - y = 1
A. (-2, 1), (-1, 2) B. (2, 1), (-1, -2) C. (-2, -1), (-1, -2) D. (2, -1), (1, -2)
Factor the trinomial completely. If the polynomial cannot be factored, write "prime."28 + 27x + x2
A. prime B. (x + 7)(x + 4) C. (x + 28)(x + 1) D. (x + 28)(x - 1)