Identify two illustrations that add meaning to McCloud's definition of a comic. Explain.

If $f(x)=x^{n}, n \geq 1$ show from the definition of the derivative that $f^{\prime}(0)=0.$

Derive $\cosh ^{2}(x)+\sinh ^{2}(x)=\cosh (2 x)$ from the definition.

Use the definition of the logarithmic function to find x. (a)

$$\ln x = 3$$

(b)

$$\ln e ^ { 2 } = x$$

Use the Distributive Property to write each expression as an equivalent algebraic expression. $5(x - 9)$

A diver springs upward from a board that is three meters above the water. At the instant she contacts the water her speed is 8.90 m/s and her body makes an angle of

$$75.0^\circ$$

with respect to the horizontal surface of the water. Determine her initial velocity, both magnitude and direction.

Use the limit definition of partial derivatives to evaluate $f _ { x } ( x , y )$ and $f _ { y } ( x , y )$ for each of the following functions. f(x, y)=5xy

See the previous discussion to identify the term for each definition:

A half circle

Use the distributive property to rewrite the expression without parentheses.

-3(r+8)

Use the distributive property and simplify the expression

$$9 + 4(2x - 1) + 8.$$

Write the context clue for the word emancipate, its definition and its synonym.

Use the definition of a hyperbola for a hyperbola with foci (±c, 0) and vertices (±a, 0).

Use the distributive property to multiply: $a m^2\left(2 a m+a+\frac{m}{b^2}\right)$

Use the Distributive Property to write each expression as an equivalent algebraic expression. $(y + 3)7$