A(n) _______ is a key word inside a class declaration that establishes a member’s accessibility.

Two identical strings on different cellos are tuned to the 440-Hz A note. The peg holding one of the strings slips, so its tension is decreased by 1.5%. What is the beat frequency heard when the strings are then played together?

Find the Taylor series for the functions defined as follows. Give the interval of convergence for each series. $f(x)=\frac{7 x}{1+2 x}$

Is it possible to have more than one constructor? Is it possible to have more than one destructor?

Evaluating the integral

$$\int_{-\infty}^{\infty} \frac{10 \delta(\omega)}{4+\omega^{2}} d \omega$$

results in: (a) 0 (b) 2 (c) 2.5 (d) $\infty$

Find Taylor polynomials of degree 4 at 0 for the functions defined as follows. $f(x)=5 e^{2 x}$

Assuming that numbers is an array of doubles, will the following statement display the contents of the array? cout << numbers << endl;

The differential equation that describes the current in an RLC network is

$$3 \frac{d^{2} i}{d t^{2}}+15 \frac{d i}{d t}+12 i=0$$

Given that i(0) = 0, di(0)/dt = 6 mA/s, obtain i(t).

A rumor spreads through a community of 500 people at the rate $\frac{d N}{d t}=0.02(500-N) N^{1 / 2}$, where N is the number of people who have heard the rumor at time t (in hours). Use Euler’s method with h=0.5 to find the number who have heard the rumor after 3 hours, if only 2 people heard it initially.

Sketch the image of the rectangle with vertices at (0, 0), (1, 0), (1, 2), and (0, 2) under the specified transformation. T is the shear represented by T(x, y) = (x + y, y).

A pie plate is filled up to the brim with pumpkin pie filling. The pie plate is made of Pyrex and its expansion can be neglected. It is a cylinder with an inside depth of 2.10 cm and an inside diameter of 30.0 cm. It is prepared at a room temperature of $68^{\circ} \mathrm{F}$ and placed in an oven at $400^{\circ} \mathrm{F}.$ When it taken out, 151 cc of the pie filling has flowed out and over the rim. Determine the coefficient of volume expansion of the pie filling, assuming it is a fluid.

Find the Wronskian for the set of functions. $\left\{1, x, \cos x, e^{-x}\right\}$

Does an irreversible process mean the system cannot return to its original state? Explain.

Find the domain of each function. $g(t)=\sqrt{1-2^{t}}$