Simplify by reducing the index of the radical.

$$\sqrt[9]{x^6 y^3}$$

Intercalated discs and pacemaker cells are characteristic of (a) smooth muscle tissue. (b) cardiac muscle tissue. (c) skeletal muscle tissue. (d) a, b, and c are correct.

Let f(x, y, z) = sin (x squared + y squared + z squared).

Consider the two vectors $\vec{r}=x \vec{i}+y \vec{j}+z \vec{k}$ and $\operatorname{grad} f$ at a point $(x, y, z)$ where $\sin \left(x^2+y^2+z^2\right) \neq$ 0 . What is (are) the possible values(s) of the angle between these vectors?

Find $f^{\prime}(0), f^{\prime \prime}(0)$, and determine whether f has a local minimum, local maximum, or neither at x=0.$f(x)=x^{3}-x^{2}+x-1$

_____ is a type of muscle contraction that produces movement in a joint and allows the muscle to shorten.

List the advantages of using prices to distribute economic products.

How is cardiac muscle similar to skeletal muscle ?

How does the speed of light change as the index of refraction increases?

Given that acylinder contains a mixture of helium and argon gas in equilibrium at $150^{\circ} \mathrm{C}$. Find the root-mean-square speed of each type of molecule.

Identify the number as one of the following: real, imaginary, pure imaginary.

$$3+i \sqrt{5}$$

How is cardiac muscle similar to smooth muscle ?

Draw a diagram containing three of Isabella's indifference curves for each of the following situations. a. Cars and tyres are perfect complements for Isabella, but in a 1:4 ratio; that is, Isabella wants exactly four tyres for each car. Make sure to label and number your diagram's axes. Place the tyres horizontally and the cars vertically. b. Isabella's caffeine consumption is her sole source of utility. She can drink Valley Dew or cola, and Valley Dew has twice the caffeine content of cola. Make sure to label and number your diagram's axes. Cola should be on the horizontal axis, and Valley Dew should be on the vertical axis. c. Isabella derives utility from the consumption of two goods: leisure time and money. Both have a declining marginal utility. Make sure to label your diagram's axes. Set the horizontal axis to leisure and the vertical axis to income. d. Isabella has the ability to consume two items: skis and bindings. She wants one binding for each ski. Make sure to label and number your diagram's axes. Place the bindings horizontally and the skis vertically.

e. Isabella benefits from drinking soda. However, she receives no utility from water consumption: any more or less water leaves her total utility level unchanged. Make sure to label your diagram's axes. Water should be on the horizontal axis, and soda should be on the vertical axis.

Find the values of constants a, b, and c so that the graph of $y=\left(x^{2}+a\right) /(b x+c)$ has a local minimum at x = 3 and a local maximum at (-1, -2).

Use a graphing calculator to graph the function. Identity the x-intercepts and points where local maximums or local minimums occur. $f(x)=x^{5}-6 x^{3}+9 x$