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What is s dt?

Updated: 9/17/2019
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How do you use differentials to estimate the propagated error in computing the volume of a cube?

The formula for the volume of a cube is V=s^3. Take the first derivative----> d/dt(V)= d/dt(s^3) ---->dv/dt= 3s^2 (ds/dt) dv/dt is the propagated error for volume, so the other variables should already be defined in the question where: s= side length and ds/dt would equal possible error in each side. Sometimes it's necessary to solve for these variables using other formulas the most common of which is surface area which is: SA=6s^2 where SA`= dsa/dt= 12s (ds/dt).


Formula for velocity and speed?

If s is the displacement vector of an object at time t, thenvelocity = ds/dt, the derivative of s with respect to tand speed = |ds/dt|, the absolute value of the velocity.


The side of square sheet of metal is increasing at the rate of 3cm per minutat what rate is the area increasing when the side is 10cm long?

ds/dt=3cm/min, s=10, dA/dt=?First you want a unifying formula, in this case it'd be the Area formula for a square.A=s^2Take the derivative with respect to time.dA/dt=2s*ds/dtSubstitute in known values.dA/dt=2(1)(3)dA/dt=6 cm^2


What limitations a designer is given?

i need the answer for my dt homework the word begins with a S------------?


What is inverse laplace transform of s?

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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 =...


Suppose that the radius of a circle is increasing at the rate of 10mms-1 what is the rate of change of the area of the circle when r 3mm?

A = pi * r2 Take implicit derivative with regard to time for 'rate' type questions: dA/dt = 2 * pi * r * dr/dt dA/dt = 2 * pi * (3 mm) * (10 mm/s) = 60 pi mm2/s


Can you have a zero velocity and zero displacement?

Yes, dD/dt = d0/dt = 0 thusDisplacement D=0 and Velocity dD/dt=d0/dt = o.