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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


A spherical balloon is being inflated so that its volume is increasing at the rate of 5 cubic meter per minute At what rate is the diameter increasing when the diameter is 12 meter?

V = 4/3*pi*r^3dV/dt = 4/3*pi*3*r^2*dr/dt = 4*pi*r^2*dr/dt Therefore dV/dt = 5 => 4*pi*r^2*dr/dt = 5 therefore dr/dt = 5/(4*pi*r^2) Diameter = 12 metres => radius = 6 metres So dr/dt = 5/(4*pi*36) = 0.01105 metres per minute. diameter = 2*radius => rate of change of diameter = 0.2210 metres per minute.


What are the 4 different types of DT?

design and technology cooking and making wood toys etc


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 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)


What has the author DT Jamieson written?

D.T Jamieson has written: 'Thermal conductivity of silicone oils of the polydimethyl siloxane types'


Why are there so many files in DT?

DT has many different files because it stores various types of information related to the tasks it performs, such as configurations, logs, databases, and plugins. These files are essential for the proper functioning and organization of the application.


How does Huygens find the acceleration in uniform circular motion?

a = dv/dt =d(vet)/dt =dv/dt *et+det/dt *vwith det =...


How do you build definition lists?

<dl> definition list <dt></dt> definition tag <dd></dd> data definition <dt></dt> <dd></dd> </dl>


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.


When was KRNV-DT created?

KRNV-DT was created in 1997.