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$$\frac{x^3}{3}+2x^2+\sin\left(x\right)+C$$

$$\frac{x^3}{2}+6x^3-\sin\left(x\right)+C$$

$$\frac{x^3}{3}+3x^2+\sin\left(x\right)+C$$

$$\frac{x^3}{3}+3x^2-\sin\left(x\right)+C$$

$$\left(x-h\right)^2+\left(y-k\right)^2=r^2$$

$$\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1$$

$$\left(h-x\right)^2+\left(k-y\right)^2=r^3$$

$$\frac{\left(x-h\right)^3}{a^3}-\frac{\left(k-y\right)^3}{b^3}=1$$

The energy in a system arising from the relative positions and interactions of its parts.

The unavailability of a system's thermal energy for conversion into mechanical work.

A form of energy transfer through conduction, convection, and/or radiation.

A thermodynamic quantity equivalent to the total heat content of a system.

S

H

Q

E

6W

2/3W

3/2W

12W

x = 2, 3

x = -1, -5

x = 1, -6

x = 1, 5

3

2

4

6

I need, sugar, butter, and eggs from the grocery store.

I need sugar, butter, and eggs, from the grocery store.

I need: sugar, butter, and eggs from the grocery store.

I need sugar, butter, and eggs from the grocery store.

Two systems in equilibrium with a third system are in thermal equilibrium with each other.

Entropy of an isolated system always increases.

Energy can change forms but it is neither created nor destroyed.

Entropy of a system approaches a constant as temperature approaches absolute zero.