Write out the second factor as the first term minus the second term plus the third term. In the above example, the second factor is (x^2 - 3x + 9). Multiply the two factors together to get the factored form of the binomial: (x + 3)(x^2 - 3x + 9) in the example equation. ...
The intercept form of a quadratic equation is y = a(x - p)(x - q), where p and q are the x-intercepts of the equation, and a is a constant. When given a quadratic equation in intercept form, we can convert to standard form in a fairly simple and straightforward manner...
Write out the second factor as the first term minus the second term plus the third term. In the above example, the second factor is (x^2 - 3x + 9). Multiply the two factors together to get the factored form of the binomial: (x + 3)(x^2 - 3x + 9) in the example equation. ...
This is a trick question of sorts. While a speeding car has plenty of momentum, if the car is not experiencing acceleration, both sides of the force equation are zero, and there is no net external force acting on the system, in this case consisting solely of the car. The physical quanti...
Compute the transfer function of a damped mass-spring system that obeys the differential equation ¨w+0.01˙w+w=u(t). The measurable quantity is the acceleration,y=¨w, andu(t)is the driving force. In Laplace space, the system is represented by ...
Compute the transfer function of a damped mass-spring system that obeys the differential equation ¨w+0.01˙w+w=u(t). The measurable quantity is the acceleration, y=¨w, and u(t) is the driving force. In Laplace space, the system is represented by Y(s)=s2U(s)s2+0.01s+1. The sys...
Compute the transfer function of a damped mass-spring system that obeys the differential equation The measurable quantity is the acceleration, , and is the driving force. In Laplace space, the system is represented by The system has unit gain, a double zero at , and two complex-conjugate pole...