07/11/25

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 +... more

06/01/25

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... more

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... more

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... more

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,... more

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... more

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... more

07/12/23

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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