How do I determine a homogenous differential equation?
I have been given a system of differential equations but I'm not quite sure how to determine whether it is homogeneous or non homogeneous.The system is:dx/dt= 8sin(t)x + ln(t)y;dy/dt= (4t^2)y +...
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Shell Vs Washer Method?
Can someone please explain how to know when to use the shell vs the washer method. the way I understand it one is taking the volume of circles perpendicular axis and one of cylinders parallel...
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05/05/25
How to compare surface area and volume of similar right rectangular prisms.
Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 58 square centimeters cm2, and the surface area of right rectangular prism Y is...
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04/06/25
Rate In and Rate Out (Absolute Extrema)
A tank has 25 liters of water in it at time t = 0 hours. Water begins to be pumped into the tank at time t = 0. A different pipe is draining water from the tank starting at t = 0.Water is being...
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01/30/25
Exercise from Calculus 'Separation of Variables'
At any time t, the rate of growth of the population N of deer in a state park is proportional to the product of N and L-N, where L=500 is the maximum number of deer the park can sustain. When t=0,...
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09/26/24
Displacement & Distance Traveled of v(t) = t^3 - 5t^2 on the interval [-1,6]
The velocity function (in meters per second) for a particle moving along a line is given by v(t) = t3-5t2. Find the displacement and the distance traveled by the particle during the time interval...
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04/05/24
Sketching Graphs with derivatives
Sketch the graph of a function with the given characteristics:f(2)=f(4)=0f'(x)<0 for x<3f'(3) does not existf'(x)>0 for x>3 f''(x)<0, x≠ 3
03/13/24
Differential Equations
A 100 L tank contains 1 L of a brine solution with 2 kg of salt dissolved in it. At time t = 0, another brine solution flows into the tank at a rate of 6 L/min, however, this brine solution...
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please tell me how do I find global /local max min using only the first derivative?
how do I know whether it's a global or a local point? I'm so confused
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