If one root of a polynomial equation with real coefficients is 4 + 2i, is it certain that 4 - 2i is also a root of the equation? Explain.

Put the following in order, from smallest and simplest, to largest and most complex, and describe their individual roles in homeostasis: organ, molecule, organelle, atom, organ system, tissue, organism, cell, macromolecule.

A fifth degree polynomial P(x) with rational coefficients has zeros 2i and

$$\sqrt7$$

What other zeros does P(x) have? Explain.

Describe the following sets. B'∩C

Find parametric equations for the line of slope 2 that passes through the point (3, 5).

Find the solution of the equation using the given replacement set.

$$23 = \frac { d } { 4 } ; \{ 91,92,93,94,95 \}$$

Solve the heat equation (1) subject to the given conditions.

$$\begin{array}{ll}{\left.\frac{\partial u}{\partial x}\right|_{x=0}=0,} & {\left.\frac{\partial u}{\partial x}\right|_{x=1}=0} \\ {\left.\frac{\partial u}{\partial y}\right|_{y=0}=0,} & {\left.\frac{\partial u}{\partial y}\right|_{y=1}=0} \\ {u(x, y, 0)=x y}\end{array}$$

A jewelry box measures 2x + 1 in. long. 2x - 6 in. wide and x in. tall. The volume of the box is given by the function

$$v(x) = 4x^3 - 10x^2 - 6x.$$

What is the height of the box, in inches if its volume is

$$28 in.^3?$$

Based on London's biography and "The Law of Life", do you agree with E. L. Doctorow when he said "It was Jack London's capacity for really living in the world, for taking it on in self-conscious and often reckless acts of courage, that made him our first writer-hero"?

Compare the developmental patterns of monotremes, marsupials and placental mammals.

Find the equation of the tangent line to the graph of y=f(x) at

$$x=x_0$$

. f(x)=ln(-x);

$$x_0=-e$$

Describe the management scheme of the virtual memory manager. How does the VM manager improve performance?

Let

$$f(x) = x^2 + x$$

and

$$g(x) = 9 - 2x.$$

Identify the rules for the following functions

$$f \circ g$$

How are the roots of a polynomial equation related to the coefficients and degree of the polynomial?