Briefly explain the importance of each of the following. command economy

Find the x-coordinates of all local extrema. $f(x)=x^{5}-2 x^{2}+x$

(a) Calculate the potential energy of the interaction between two linear quadrupoles when they are collinear and their centres are separated by a distance r. (b) Calculate the potential energy of the interaction between two linear quadrupoles when they are parallel and separated by a distance r.

Which element would you expect to have the largest second ionization energy, $\mathrm{Na}, \mathrm{C}$, or $\mathrm{F}$ ? Why?

Bearcat Construction begins operations in March and has the following transactions.

$$\begin{array}{llllll} \text{March 1} & \text{Issue common stock for \$21,000.}\\ \text{March 5} & \text{Obtain \$9,000 loan from the bank by signing a note.}\\ \text{March 10} & \text{Purchase construction equipment for \$25,000 cash.}\\ \text{March 15} & \text{Purchase advertising for the current month for \$1,100 cash.}\\ \text{March 22} & \text{Provide construction services for \$18,000 on account.}\\ \text{March 27} & \text{Receive \$13,000 cash on account from March 22 services.}\\ \text{March 28} & \text{Pay salaries for the current month of \$6,000.}\\ \end{array}$$

At the end of the year, Brinkley Incorporated's balance of Allowance for Uncollectible Accounts is $4,000 (credit) before adjustment. The company estimates future uncollectible accounts to be 3% of credit sales for the year. Credit sales for the year total$135,000. What is the adjustment Brinkley would record for Allowance for Uncollectible Accounts using the percentage-of-credit-sales method?

Let F be the step function such that F(t)=n for $t \in[n, n+1)$, n an integer. Calculate (a) $\int_{0}^{6} x d F(x)$, (b) $\int_{0}^{3} x^{2} d F(x)$, (c) $\int_{1 / 4}^{\pi / 4} x^{2} d F(x)$.

Express each expression in simplest form with only positive exponents. $6 L^{-2}-4 C^{-1}$

In Example 1, the temperature rose by 3 °C. Suppose it fell from - 2 °C to -10 °C. Predict whether the change in temperature would be positive or negative. Then subtract to find the change.

You are the manager for the bond portfolio of a pension fund. The policies of the fund allow for the use of active strategies in managing the bond portfolio. It appears that the economic cycle is beginning to mature, inflation is expected to accelerate, and, in an effort to contain the economic expansion, central bank policy is moving toward constraint. For each of the situations below, state which one of the two bonds you would prefer. Briefly justify your answer in each case. Bank of Montreal (Canadian pay), 4% certificates of deposit due in 2017, rated AAA, and priced at 100 to yield 4% to maturity; or Bank of Montreal (Canadian pay), floating-rate notes due in 2021, rated AAA. Coupon currently set at 3.7% and priced at 100 (coupon adjusted semiannually to .5% above the three-month Government of Canada Treasury bill rate).

Evaluate the integral.

$$\int _ { 0 } ^ { \pi / 3 } \frac { \sin \theta + \sin \theta \tan ^ { 2 } \theta } { \sec ^ { 2 } \theta } d \theta$$

Evaluate. $_{6}C_{1}$

A reaction that occurs in the internal combustion engine is $\mathrm { N } _ { 2 } ( g ) + \mathrm { O } _ { 2 } ( g ) \rightleftharpoons 2 \mathrm { NO } ( g )$ Assuming that these values are relatively independent of temperature, calculate $\Delta G ^ { \circ }$ 100.$^{\circ}$C, 2560.$^{\circ}$C, and 3540.$^{\circ}$C.

If you had been an urban planner at the turn of the century, what new ideas would you have included in your plan for the ideal city?