Calculate the derivatives of the functions. $f(x)=\left[(6.4 x-1)^{2}+(5.4 x-2)^{3}\right]^{2}$

For the transformation of

$$\mathbb { R } ^ { 2 }$$

with the given matrix, sketch the transform of the square with vertices (1, 1), (2, 1), (2, 2), and (1, 2).

$$A = \left[ \begin{array} { r r } { 1 } & { - 1 } \\ { 1 } & { 2 } \end{array} \right].$$

By graphing the function f(x) = (tan 4x)/x and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim x→0 f(x).

Expand.

$$( x - 11 ) ^ { 2 }$$

An element has two naturally occurring isotopes. The isotope has a mass of 62.9396 amu and a relative abundance of 69.17 %, and isotope 2 has a mass of 64.9278 amu.

Find the atomic mass of this element.

Graph each function over the interval $[-2 \pi, 2 \pi]$. Explain how the graphs are transformations of $y=\sin x$ or $y=\cos x$.

$$g(x)=3 \cos \left(x+\frac{\pi}{4}\right)$$

The data is below:

$$\begin{array}{r|rrrrr} x_i & 2 & 6 & 9 & 13 & 20 \\ \hline y_i & 7 & 18 & 9 & 26 & 23 \end{array}$$

The estimated regression equation for these data is $\hat{y}=7.6+.9 x$. What percentage of the total sum of squares can be accounted for by the estimated regression equation? What is the value of the sample correlation coefficient?

Express each quadratic function in the form $f(x)=a(x-h)^2+k$. Then use transformations of the graph of $f(x)=x^2$ to graph each function.

$$f(x)=-\frac{1}{2} x^2+4 x-2$$

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Can you stay late tonight to work on this project? no, not tonight. _________

Find the sum. 9.6 + 5.49

A baseball is thrown from the outfield toward the catcher. When the ball reaches its highest point, which statement is true?

Evaluate the expression. -6 + 3 - (-1) + 11

What two common tools help create both User and Computer objects?

Use transformations of the graph of $y = \frac { 1 } { x }$ or $y = \frac { 1 } { x ^ { 2 } }$ to graph each rational function f(x). $f ( x ) = \frac { 3 x ^ { 2 } + 18 x + 28 } { x ^ { 2 } + 6 x + 9 }$