Solve the puzzle by figuring out the missing month.

SUDOKU des mois fran$\c{c}$ais

jan.	fév.	mars	avril	mai	juin	juil.	ao$\^{u}$t	sept.	oct.	nov.	déc.
1.	juin	7.	juil.	jan.	fév.	19.	déc.	avril	nov.	31.	mai
juin	jan.	juil.	10.	mars	16.	mai	sept.	ao$\^{u}$t	28.	déc.	34.
2.	déc.	jan.	mars	13.	mai	nov.	fév.	25.	juil.	avril	ao$\^{u}$t
sept.	mars	fév.	11.	oct.	ao$\^{u}$t	20.	avril	juil.	29.	mai	nov.
3.	oct.	juin	mai	14.	jan.	avril	22.	nov.	ao$\^{u}$t	fév.	35.
fév.	4.	mai	juin	nov.	17.	sept.	jan.	26.	déc.	ao$\^{u}$t	avril
déc.	sept.	8.	ao$\^{u}$t	fév.	oct.	21.	nov.	mars	mai	32.	juil.
mai	5.	oct.	nóv.	15.	déc.	mars	23.	jan.	fév.	sept.	36.
nov.	avril	ao$\^{u}$t	12.	juin	sept.	oct.	mai	27.	mars	juil.	jan.
ao$\^{u}$t	6.	déc.	oct.	juil.	18.	fév.	juin	mai	30.	jan.	mars
avril	mai	9.	sept.	ao$\^{u}$t	juil.	juin	24.	déc.	jan.	33.	fév.

a. The volume, V, of a cylinder is given by the formula V = $\pi r^2L$ where r is the cylinder’s radius and L is its length. Using this formula, write a C++ function named cylvol() that accepts a cylinder’s radius and length and returns its volume. b. Include the function written in previous Exercise in a working program. Make sure your function is called from main() and returns a value to main() correctly. Have main() use a cout statement to display the returned value. Test the function by passing various data to it.

Say what chores the following persons should do based on each situation.

Salim ne trouve pas ses affaires dans sa chambre.

Use these definition to answer the question. The average value of the continuous function f over R is given by

$$\text{One variable}: \frac{1}{\text { length of segment } R} \int_{R} f(x) d x$$

$$\text{Two variables: }\frac{1}{\text { area of region } R} \iint_{R} f(x, y) d A$$

$$\text{Three variables:} \frac{1}{\text { volume of solid } R} \iiint_{R} f(x, y, z) d V$$

-Find the average value of the function $f(x, y, z)=x+2 y+3 z$ over the solid region S bounded by the tetrahedron with vertices (0,0,0), (1,0,0), (0,1,0) and (0,0,1).

Choose the correct answer.

Waiting for miracles to occur (a) is, (b) are not the way to be successful in life.

Linearize the data in each table. than determine the most appropriate model.

$$\begin{array}{|c|c|} \hline x & and \\ \hline 2 & 2.5 \\ \hline 4 & 7.3 \\ \hline 6 & 13.7 \\ \hline 8 & 21.3 \\ \hline 10 & 30.2 \\ \hline 12 & 40.0 \\ \hline 14 & 50.8 \\ \hline 16 & 62.5 \\ \hline \end{array}$$

(a) Solve the Gompertz equation dy/dt=ryln(K/y),subject to the initial condition y(0)=y0. Hint: You may wish to let u=ln(y/K).(b) For the data given in Example 1 in the text (r=0.71 per year,K=80.5×106 kg, y0/K=0.25), use the Gompertz model to find the predicted value of y(2).(c) For the same data as in part (b), use the Gompertz model to find the timeτat which y(τ)=0.75K.

The following table gives the distribution of the life time of 400 neon lamps :

$$\begin{array}{|c|c|} \hline Life time (in hours) & Number of lamps \\ \hline 1500-2000 & 14 \\ 2000-2500 & 56 \\ 2500-3000 & 60 \\ 3000-3500 & 86 \\ 3500-4000 & 74 \\ 4000-4500 & 62 \\ 4500-5000 & 48 \\ \hline \end{array}$$

Find the median life time of a lamp.

The normal monthly precipitation at the Seattle-Tacoma airport can be approximated by the model $R=2.876+2.202 \sin (0.576 t+0.847)$ where R is measured in inches and t is the time in months, with t = 0 corresponding to January 1. (a) Determine the extrema of the function over a one-year period. (b) Use integration to approximate the normal annual precipitation. Hint: Integrate over the interval [0, 12].)(c) Approximate the average monthly precipitation during the months of October, November, and December.

The table shows the sales $S$ (in millions of dollars) for Timberland from 1995 to 2002.

Use a graphing utility to plot the data and graph the model in the same viewing window.

Solve the puzzle by figuring out the missing month.

SUDOKU des mois fran$\c{c}$ais

Write an algebraic equation for the sentence. 14 less than 3 times a number is 5 more than half of the number.

In the circle, radii $\overline{C A}$ and $\overline{C B}$ are perpendicular. $\overleftrightarrow{B D}$ and $\overleftrightarrow{A D}$ are tangent to $\odot C$. Sketch $\odot C, \overline{C A}, \overline{C B}, \overline{B D}$, and $\overline{A D}$.

Use the Half-angle Formulas to find the exact value of each expression. $\tan \frac{7 \pi}{8}$