# What is a solution to the differential equation #dy/dx=3#?

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The solution to the differential equation dy/dx = 3 is y = 3x + C, where C is the constant of integration.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the surface area of the solid created by revolving #f(x)=e^(x+1)/(x+1)# over #x in [0,1]# around the x-axis?
- How do you find the volume of the region bounded by #y=6x# #y=x# and #y=18# is revolved about the y axis?
- How do you draw the slope field of the differential equation #y'=y-x# ?
- How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #27y=x^3#, y=0 , x=6 revolved about the y=8?
- How do you find the volume of the solid obtained by rotating the region bounded by the curves #x=0# and #Y=4-x^2# and #y=3x# rotated around the y-axis?

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