Interview a couple who have been married for more than 10 years. Determine and report the degree and nature of role specialization that has developed with respect to their purchase decisions. Also ascertain how conflicts are resolved.

The radicand b²-4ac in the quadratic formula is called the discriminant of the quadratic polynomial ax²+bx+cbecause it can be used to describe the nature of its zeros. if b²-4ac<0, wha ax²+bx+c?Explain your answer.

Use a computer to graph the curve with the given vector equation. Make sure you choose a parameter domain and viewpoints that reveal the true nature of the curve. r(t)=⟨cos 2t, cos 3t, cos 4t⟩

This contingency table describes $200$ business students regarding their chosen majors. Find the probability of a business student who majors in finance.

$$\left. \begin{array} { | c | c | c | c| } \hline \text { } & { \left. \begin{array} { c } { \text { Finance} } \end{array} \right. } & { \left. \begin{array} { c } { \text { Accounting} } \end{array} \right. } & { \left. \begin{array} { c } { \text { Marketing} } \end{array} \right. } \\ \hline \text{Female student} & { 25 }&25 & 30 \\ \hline \text{Male student} & { 45 } &20& 55\\ \hline \end{array} \right.$$

In Exercise, find the relative extrema using both the first and second derivative tests.
$f ( x ) = \sin ^ { 2 } x . \quad 0 < x < 2 \pi$

Find the interval of convergence, including end-point tests: $\sum_{n=1}^{\infty} \frac{(-1)^{n} x^{2 n-1}}{2 n-1}$

In a haploid, a nonsense suppressor su1 acts on mutation 1 but not on mutation 2 or 3 of gene P. An unlinked nonsense suppressor su2 works on P mutation 2 but not on 1 or 3. Explain this pattern of suppression in regard to the nature of the mutations and the suppressors.

Kristin's credit rating was lowered, and the credit card company raised her APR from 14% to 15.2%. If her average daily balance this month is x dollars, express algebraically the increase in this month's finance charge due to the higher APR.

A nature photographer taking a close-up shot of an insect replaces the standard lens on his camera with a lens that has a shorter focal length and is positioned farther from the CCD detector. Explain why he does this.

Find the critical point(s) of the functions. Then use the second derivative test to classify the nature of each of these points, if possible. Finally, determine the relative extrema of each function.

$$f(x,y) = 2x^2 +y^2 -8x -6y + 4$$

Consider air in a closed, cylindrical container with its axis vertical and with opposite ends maintained at different temperatures. Assume that the total pressure of the air is uniform throughout the container. (a) If the bottom surface is colder than the top surface, what is the nature of conditions within the container? For example, will there be vertical gradients of the species $\mathrm{cO}_{2}$ and $1 \mathrm{N}_{2}$) concentrations? Is there any motion of the air? Does mass transfer occur? (b) What is the nature of conditions within the container if it is inverted (i.e., the warm surface is now at the bottom)?

Find the critical point(s) of the functions. Then use the second derivative test to classify the nature of each of these points, if possible. Finally, determine the relative extrema of each function.

$$f(x,y) = \ln (x^2 +y^2 -2x-3y +4)$$

Summarize all pertinent information obtained by applying the graphing strategy, and sketch the graph of y=f(x). $f(x)=\frac{2 x^{2}+11 x+14}{x^{2}-4}$

Which of the following is false about scientific nomenclature?
a. Each name is specific.
b. Names vary with geographical location.
c. The names are standardized.
d. Each name consists of a genus and specific epithet.
e. It was first designed by Linnaeus.