Find a circuit with the following input/output table.
One circuit (among many) having the given input/output table is the following:
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Solve the initial value problem.Differential Equation: 
= (-cos t)i + (4t3- 2)jInitial Condition: r(0) = 9j
A. r(t) = (sin t)i + (12t2 + 9)j B. r(t) = (-sin t)i + (t4)j C. r(t) = (-sin t)i + (t4 + 9)j D. r(t) = (-sin t)i + (t4- 2t + 9)j
Approximate the coordinates of each turning point by graphing f(x) in the standard viewing rectangle. Round to the nearest hundredth, if necessary.f(x) = -x3 + 
x2 + 6x - 3
A. (-2, -1) and (-1, -6.5) B. (-1, -6.5) and (2, 7) C. (-2, -1) and (1, 3.5) D. (-1, -6.5) and (1, 3.5)
Simplify the expression. Assume that all variables are positive.
? 
A. 
B. 
C. 7x4
D. x4
Solve the problem.An experimental model for a suspension bridge is built in the shape of a parabolic arch. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers are both 16 inches tall and stand 80 inches apart. Find the vertical distance from the roadway to the cable at a point on the road 12 inches from the lowest point of the cable.
A. 5.76 in. B. 1.64 in. C. 1.44 in. D. 1.24 in.