Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? f(x) = 4 / (x-5)

Why do oceans moderate the temperatures of coastal areas? (1) Temperature of ocean water changes slowly due to water's low specific heat. (1) Temperature of ocean water changes slowly due to water's low specific heat. (2) Temperature of ocean water changes slowly due to water's high specific heat. (3) Temperature of ocean water changes rapidly due to water's low specific heat. (4) Temperature of ocean water changes rapidly due to water's high specific heat.

Evaluate the expression when x = 4 and y = 3. (x² + 9)/(y + 2)

Construct a truth table for the compound statement. Determine the truth value of each compound statement if the given statements are true. (~p ˅ q) ˄ r; q, r

What international tensions arose after World War II?

Respond using verbal or written explanations. What are similar triangles ?

Prove the following extension of the Fundamental Theorem of Calculus to two variables: If

$$\frac { \partial ^ { 2 } F } { \partial x \partial y } = f ( x , y ),$$

then

$$\int \int _ { \mathcal { R } } f ( x , y ) d A = F ( b , d ) - F ( a , d ) - F ( b , c ) + F ( a , c )$$

where

$$\mathcal { R } = [ a , b ] \times [ c , d ].$$

How are corresponding angles of two similar figures related?

Will help you prepare for the material cover in the next section.

$$\text { Solve: } \quad \frac { x + 2 } { 4 x + 3 } = \frac { 1 } { x }$$

Plot these numbers on a number line

$$\sqrt { 4 } , \sqrt { 5 } , \sqrt { 9 } , \sqrt { 10 } , \sqrt { 15 } , \sqrt { 16 }$$

Graph the function

$$y = - 5 \cdot 2 ^ { x }$$

. Compare the graph with the graph of

$$y = 2 ^ { x }$$

.

Use the given vectors u, v, and w to find each expression. $\mathbf{u}=2 \mathbf{i}-3 \mathbf{j}+\mathbf{k} \quad \mathbf{v}=-3 \mathbf{i}+3 \mathbf{j}+2 \mathbf{k} \quad \mathbf{w}=\mathbf{i}+\mathbf{j}+3 \mathbf{k}$. $(\mathbf{v} \times \mathbf{u}) \cdot \mathbf{w}$

Explain the importance of RuBisCo in the Calvin cycle: