Find the domain and range of the function. Write your answer in interval notation. $g(x)=\sqrt{16-x^{4}}$

In 1960, the U.S. Navy's bathyscaphe Trieste (a submersible) descended to a depth of 10912 m (about 35000 ft) into the Mariana Trench in the Pacific Ocean. (a) What was the pressure at that depth? (Assume that seawater is incompressible.) (b) What was the force on a circular observation window with a diameter of 15 cm?

What is an increasing function?

Find the derivative of each function. $y=-4 \sin 7 x$

Find F(s) if: (a) $f(t)=6 e^{-t} \cosh 2 t$ (b) $f(t)=3 t e^{-2 t} \sinh 4 t$ (c) $f(t)=8 e^{-3 t} \cosh t u(t-2)$

The amount of a radioactive substance decreases exponentially, with a decay constant of 3% per month. a. Write a differential equation to express the rate of change. b.Find a general solution to the differential equation from part a. c. If there are 75 g at the start of the decay process, find a particular solution for the differential equation from part a. d.Find the amount left after 10 months.

The following definitions and program segments has errors. Locate as many as you can. vector numbers = { 1, 2, 3, 4 };

What is the difference between an argument and a parameter variable?

Decide whether the functions defined as follows are probability density functions on the indicated intervals. If not, tell why. $f(x)=2 x^{2}$; [-1, 1]

In your own words, define a random variable.

Find the matrix A of the quadratic form associated with the equation. $16 x^{2}-4 x y+20 y^{2}-72=0$

Subscript numbering in C++ always starts at _______.

A student mixes 1.0 L of water at $40^{\circ} \mathrm{C}$ with 1.0 L of ethyl alcohol at $20^{\circ} \mathrm{C}.$ Assuming that no heat is lost to the container or the surroundings, what is the final temperature of the mixture?

A length of blood vessel is measured as 2.7 cm, with the radius measured as 0.7 cm. If each of these measurements could be off by 0.1 cm, estimate the maximum possible error in the volume of the vessel.