# Tutor profile: Savannah S.

## Questions

### Subject: Chemistry

What intermolecular forces are water capable of?

Water is a polar molecule that contains hydrogen bonded to an electronegative atom. A polar molecule is a molecule in which electrons are more concentrated in one area, creating partial positive and negative charges. Therefore, water is capable of three types of intermolecular forces. Van der Waals forces are present in all molecules, dipole-dipole forces result because of water's polarity, and hydrogen bonding results from the hydrogen that is bonded to oxygen. Of these forces, hydrogen bonding is the strongest and Van der Waals forces are the weakest.

### Subject: Biology

Name three differences between prokaryotic and eukaryotic cells.

Eukaryotic cells possess mitochondria, whereas prokaryotic cells do not. Eukaryotic cells possess a nucleus, whereas prokaryotic cells do not. The DNA in prokaryotic cells is contained in one, circular chromosome whereas eukaryotic cells posses more than one chromosome, found in linear form.

### Subject: Calculus

What is the derivative of the equation f(x) = e^x(x^3 + 4)?

To find the derivative of this equation, we must use the product rule. First, lets assign names to the two portions of this equation that are being multiplied. g(x) = e^x h(x) = x^3 +4 In order to find the derivative, we need to follow the follow rule: f'(x) = g'(x) x f(x) + g(x) x f'(x) In words, the derivative of f is equal to the derivative of the first (g'(x)) times the second (f(x)) plus the first (g(x)) times the derivative of the second (f'(x)). g'(x) = e^x h'(x) = 3x^2 So f'(x) = [e^x x (x^3 + 4)] + [e^x x (3x^2)] f'(x) = e^x (x^3 + 3x^2)

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