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# Tutor profile: Samantha F.

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Samantha F.
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## Questions

### Subject:Writing

TutorMe
Question:

How do you write a good first paragraph?

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Samantha F.

### Subject:Calculus

TutorMe
Question:

How do you show that a function is continuous?

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Samantha F.

A function is continuous at a point if the limit exists, and the limit as x goes to x-naught equals f(x-naught). In other words, the limit must be the same and exist when approaching from both directions in a 2D function and from all points in the open set (all paths) for a 3D function. To solve a limit and see whether or not that is true, start by simply plugging in the value of x-naught. If that doesn't work, substitute the paths x=0, y=0, x= my and solve. If that still yields nothing, try factoring or using the limit product rule. Finally, try testing different paths and seeing if each path gets the same answer. if none of those things works, then conclude that the limit does not exist.

### Subject:Photoshop

TutorMe
Question:

How do you create lighting effects in a drawing in photoshop?

Inactive
Samantha F.

It depends on the type of piece you're creating. if you're painting digitally, you can simply paint in the lighting effects as you're working by adding highlights and shadows based on your chosen light source. Alternatively, a somewhat easier solution that would apply to cel-shaded pieces would be to use different layer effects on photoshop. You would create a new layer on top of your flat colors and change that layer moe to be Overlay (or a different setting depending on the kind of lighting effect you're going for). Overlay is a very versatile mode. Then using whatever brush you prefer, choose a darker purple or brown and paint on that layer. Paint shadows onto your piece as you wish. The overlay layer will darken where you paint without losing the original color. If the colors are still too intense, lower the opacity of the Overlay layer. You can also make the overlay layer (and any other layer effects) a clipping group to your base colors so that it will only paint where there has already been color.

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