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Lillian G.

Tutored for a full year at the UMBC Mathlab

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French

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Question:

Conjugez le verbe 'manger' au present.

Lillian G.

Answer:

Since aller is a regular -er verb, we already know what the endings are going to be: -e , -es, -e, -ons, -ez, -ent (these must be memorized). Now we add these endings to our verb and we get: je mange tu manges il/elle mange nous mangeons vous mangez ils/elles mangent

Calculus

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Question:

Find the limit of (x - 8) / (x^2 - 4) when x approaches 0.

Lillian G.

Answer:

We want to know how our function behaves around the time when x = 0, so what we need to do is plug in 0 into the function. We get ; (0 - 8 )/(0 - 4) = 2. The limit of the function as x approaches 0 is 2.

Algebra

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Question:

Find the value of 4ab +2c where a=-1, b=4, and c= -3.

Lillian G.

Answer:

This is a substitution problem. We have a mathematical expression containing variables (namely a,b, and c) and we want to know the value of this expression when the three variables have fixed values. So we go ahead and do our substitution : 4*(-1)*(4) + 2(-3) We always have to remember the basic algebraic operation rules. Here we have two negative numbers, and a multiplication between a positive number and a negative number always results in a negative number. So we get -16 - 6 = -22

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