# Questions

## Explain The Difference Between An Absolute Minimum And A Local Minimum.

Explain the difference between an absolute minimum and a local minimum. Answer Local minimum is the smallest value that a function has on some open interval (which is part of domain). Absolute minimum is the smallest value that a function has on its entire domain. Note: Local minimum can be reached in just one point. …

## How Many Unpaired Electrons Are Present In The Ground State Of The Atoms In Group 6a(16)?

How many unpaired electrons are present in the ground state of an atom from of the following groups? (a) 4A(14), (b) 7A(17), (c) 1A(1), (d) 6A(16) Answer A) In the group 4A there are 2 unpaired electrons in the ground state. B) In the group 7A there is 1 unpaired electron in the ground state. …

## Prokaryotes Are Classified As Belonging To Two Different Domains. What Are The Domains?

Prokaryotes are classified as belonging to two different domains. What are the domains? Answer The two domains to which Prokaryotes belong are the Bacteria and Archaea domains. Prokaryotes, which include bacteria and archaea, may be found almost everywhere – in every ecosystem, on every surface of our homes, and even within our bodies! Some live …

## Evaluate The Indefinite Integral As An Infinite Series. Cos(X) − 1 X Dx

Evaluate the indefinite integral as an infinite series. Integral Cosx-1/x dx Answer We evaluate the given indefinite integral as an expression of an infinite series. Here we are going to use the Maclaurin series representation of some functions, and work our way through to obtain a similar pattern of expression. Given the indefinite integral

## A Car Drives Over The Top Of A Hill That Has A Radius Of 50m

A car drives over the top of a hill that has a radius of 50 m. What maximum speed can the car have without flying off the road at the top of the hill? Answer: v = 22.147 m/s Explanation r = 50 m The forces acting on the car are the normal reaction of …

## How Many Lone Pairs Are On The Central Atom In BCl3?

a. How many lone pairs are on the central atom in BCl3? Express your answer numerically as an integer. b. How many lone pairs are on the central atom of BrF3? Express your answer numerically as an integer. Answer: A) None, 0; B) 2. The valence electrons of the chemical elements that are bonding and …

## What Is The Sphere’s Angular Velocity At The Bottom Of The Incline?

An 8.0-cm-diameter, 400 g solid sphere is released from rest at the top of a 2.1-m-long, 25∘ incline. It rolls, without slipping, to the bottom. a. What is the sphere’s angular velocity at the bottom of the incline? b. What fraction of its kinetic energy is rotational? Answer

## Select All Of The True Statements Regarding Chemical Equilibrium.

Select all the true statements regarding chemical equilibrium: The concentrations of reactants and products remain constant. The concentrations of reactants and products are equal. Reactants are still being converted to products (and vice versa). The rates of the forward and reverse reactions are equal. Answer The first statement is false because the products and reactants …

## Which Of The Following Electron Configurations Correspond To An Excited State

Which of the following electron configurations correspond to an excited state? Identify the atoms, and write the ground-state electron configuration where appropriate. 1s ^ { 2 } 2 s ^ { 2 } 3 p ^ { 1 }1s^22s^23p^1 Answer: The atom is Boron(B) which ground-state electron configuration is 1s^22s^22p^1 Explanation Electron configuration helps us …

## A Series RLC Circuit Has A 200 kHz Resonance Frequency.

A series RLC circuit has a 200 kHz resonance frequency. What is the resonance frequency if the capacitor value is doubled and the inductor value is halved? Answer: The resonance frequency will be the same. Explanation The resonance frequency in a series RLC circuit is given by the equation:

## Formic Acid, HCOOH, Is A Weak Electrolyte.

Formic acid, HCOOH, is a weak electrolyte. What solutes are present in an aqueous solution of this compound? Write the chemical equation for the ionization of HCOOH. Answer: In a given solution we’d have HCOOH, H+, and HCOO-. Explanation

## One Number Is 2 More Than 3 Times Another Their Sum Is 22 Find The Numbers

One number is 2 more than 3 times another. Their sum is 22. Find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12 Answer: 5, 17 Explanation Let x represent the first number and y represent the second number. The second number is 2 more than 3 times the first number: y …

## You Live On A Busy Street, But As A Music Lover, You Want To Reduce The Traffic Noise.

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s. You live on a busy street, but as a music lover, you want to reduce the traffic noise. (a) If you install special sound-reflecting windows that reduce the sound intensity level (in dB) by 30 dB, by what fraction …

## An Object Of Mass M Is Dropped From Height H Above A Planet Of Mass M And Radius R.

An object of mass m is dropped from height h above a planet of mass M and radius R. Find an expression for the object’s speed as it hits the ground. Answer Mass of object = m Height above planet = h Mass of the planet = M Radius of planet = R The object …

## What Is The Torque On The Particle About The Origin?

Force F = -10jN is exerted on a particle at r = (5i + 5j) m. What is the torque on the particle about the origin? Answer: r = (-50k) N * m. Explanation

## Which Was Not A Weakness Of The Articles Of Confederation

Which of the following was not a weakness of the articles of confederation (1781-1789)? A) a weak “league of friendship” among the states B) the requirement of unanimous approval by all 13 states for amendments C) no judicial branch D) no congressional power to impose taxes Answer Given: Which of the following was not a …

## A 6.00-cm-diameter Sphere With A Mass Of 89.3 G Is Neutrally Buoyant In A Liquid.

A 6.00-cm-diameter sphere with a mass of 89.3 g is neutrally buoyant in a liquid. Identify the liquid. Answer: Ethyl alcohol. Explanation To two significant figure, this is equal 790 kg per cubic meter, this is exactly equal to the density of the ethyl alcohol from table 13.1, therefor the fluid is ethyl alcohol.

## What Does The Equation Z = Y2 Represent?

What does the equation z = y^2 represent? Answer: parabolic cylinder Explanation Recall from the previous subquestion that we have identified y=x^2 as a parabola in R^2 in the xy-plane. Likewise, z=y^2 represents a parabola in R^2 in the yz-plane. Extending the same logic in R^3 from the previous question, since the variable x is …

## What Should A Sailboat Operator Do When Approaching A PWC Head-on?

What should a sailboat operator do when approaching a PWC head-on? Answer A sailboat operator should maintain its current speed and its current course, while the PWC should maneuver to avoid the sailboat as the sailboat lacks maneuverability. A sailboat operator should maintain its current speed and its current course. Approaching another boat at sea …

## A Solid Gold Bar Is Pulled Up From The Hold Of The Sunken Rms Titanic.

A solid gold bar is pulled up from the hold of the sunken RMS Titanic. (a) What happens to its volume as it goes from the pressure at the ship to the lower pressure at the ocean’s surface? (b) The pressure difference is proportional to the depth. How many times greater would the volume change …