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If y equals x cube plus 2x and dx over dt equals 5 what is dy over dt when x equals 2?
y=x3+ 2x, dx/dt=5, x=2, dy/dt=? Differentiate the equation with respect to t. dy/dt=3x2*dx/dt Substitute in known values. dy/dt=3(2)2 * (5) dy/dt=60
How do you calculate net force equals speed equals velocity equals momentum equals acceleration equals?
Force (F) F = m.a and since a = dv/dt thus F = m.dv/dt Momentum (p) p = m.v and since a = dv/dt thus p = m.a.dt By switch dt from R.H.S. to L.H.S we get dp/dt = m.a thus F = dp/dt
Solve the differential equation dz over dt plus 4et plus z equals 0?
You need to clarify what you want to solve for. If you're solving for z, then we can say: dz/dt + 4et + z = 0 ∴ dz/dt = -4et - z ∴ ∫(dz/dt) dt = -2et2 - zt + C ∴ z = -2et2 - zt + C ∴ z + zt = -2et2 + C ∴ z(1 + t) = -2et2 + C ∴ z = (-2et2 + C) / (1 + t)
How is momentum and law of conservation of momentum related?
Momentum is the quantity that is conserved in this case. Conservation of Momentum is a consequence of Conservation of Energy, which equates to the sum of forces equals zero. 0 = f1 + f2 = dp1/dt + dp2/dt = d(p1 +p2)/dt = d(constant)/dt =0.
What is the condition for maximum velocity?
The condition for maximum velocity is acceleration equals zero; dv/dt = a= o.
Find the arc length L of the curve C given parametrically x equals 1 plus 2et y equals et 0 t1?
I will assume that you mean to ask, "What is the arc length of curve C from t=0 to t=1 if curve C is defined parametrically by x=1+2e^t and y=e^t?" I can answer this question. dx/dt=2e^t and dy/dt=e^t. Arc length = a∫b √[(dx/dt)2+(dy/dt)^2] = 0∫1 √[4e^(2t)+e^(2t)]dt = 0∫1 √[5e^(2t)]dt. = 0∫1 [(√5)(e^t)]dt = √5 x (e^1-e^0) = √5 x (e-1) = e√5-√5. Difficult? Maybe. Fun? Hopefully. Accurate? Definitely!
How do you diffentiate y equals 3.5 minus 3.5 times the Exp minus 1 over 20t?
y(t) = 3.5 - 3.5*e1-20t Then dy/dt = -3.5*e1-20t*(-20) = 70*e1-20t
What is Gamma DT?
Gamma DT is a term used in finance to refer to the gamma of a delta-neutral options position. It measures how the delta changes as the stock price changes.Gamma DT helps traders understand how the position's sensitivity to price movements evolves over time.
What does the rate of change of flux equal?
The rate of change of flux equals the induced electromotive force or voltage in a circuit, as described by Faraday's law of electromagnetic induction. Mathematically, this relationship is expressed as: (\text{EMF} = -\frac{d\Phi}{dt}), where EMF is the induced voltage, (\Phi) is the magnetic flux, and (\frac{d\Phi}{dt}) is the rate of change of magnetic flux over time.
How rockets engines work and relate on the third law of motion?
Rockets work on the conservation of vector energy, cP. 0 = dcP/dr = cdP/cdt=dP/dt = d(mV)/dt = mdV/dt + Vdm/dt=0 Thus, mdV/dt = -Vdm/dt, or (dV/dt)/V = -(dm/dt)/m. The Rocket's mass accelerates at the rate of the mass changes dm/dt.
What is derivative of cot t dt?
d/dt cot (t) dt = - cosec2(t)
How does Huygens find the acceleration in uniform circular motion?
a = dv/dt =d(vet)/dt =dv/dt *et+det/dt *vwith det =...
