Ask Question, Ask an Expert


Ask Math Expert

Home >> Math

problem 1

(a)  Find the natural domain and determine the range of the following functions.

i. f (x) = √x2 - 3

ii. f (x) = 3sin x

(b)   Sketch the graph of the function:

 y = 1 + 2x - x2

by appropriately translating and reflecting the function y = x2

(c)  Find expressions for

f (x) = x/1 + x2, g (x) = 1/x

Find the domains of both the compositions.
(d)  Using the horizontal line test find which of the following functions f is one-to-one:

(i)  f (x) = 3x + 2

(ii)  f (x) = x


(a)  Find the value of:


(b)  Determine the value of:


(c)  (i)  Find a value of the constant k, which will make the following function continuous.


(ii)  Sketch the continuous function.
(iii)  Show that the continuous function can be written as a polynomial.

(a)  Using the definition of the derivative,  dx/df of a function f(x) with respect to x as:


(b)  Find dx/dy of: y = (3x2 + 2/x + 3)

(c)  A car is driven down a street highway such that in the first 12 seconds it travels a distance s = 4.5t2 m from its initial position.

(i)  Find the average velocity of the car over the time interval [0,12] s.

(ii)  Find its instantaneous velocity at t = 6 s.

(d)  A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15  cm/min. At what rate (cm3/min) must air be removed when the radius is 9 cm?

Math, Academics

  • Category:- Math
  • Reference No.:- M9926

Have any Question? 

Related Questions in Math

How much money should be deposited today in an account that

How much money should be deposited today in an account that earns 8% compounded quarterly so that it will accumulate to $20,000 in six years?

Applying key skillsnbspplease respond to the

"Applying Key Skills" Please respond to the following: Describe the key skills you learned in this course. Explain how you expect to use those skills in your future academic, personal, and / or professional life. Recomme ...

Analyzenbspit collaboration technology and ecommerce

Analyze  IT collaboration technology and eCommerce techniques that can be applied to your project based on this week's readings ( Essentials of MIS , Chs. 9 and 10, and Week 3 Electronic Reserve Readings).  Create  a Mic ...

A car was purchased for 3495 and will depreciate 20 each

A car was purchased for $3,495 and will depreciate 20% each year. Find a linear function for the value of the car at time t in years. Define variables clearly. Graph the function you found in part A. A claim is made that ...

Solve the equation sin x tanxradic3 sinx0 finding all

Solve the equation sin (x) tan(x)+√3 sin(x)=0, finding all solutions in the interval [0,360º) Provide exact values of the solutions and state them in degrees.

In 450 words with referenceshow would you describe apples

In 450 words with references: How would you describe Apple's (or United Way) brand strategy? Discuss other brand strategies marketers use to develop brand loyalty. Give a detailed description of what in involved with the ...

As an international marketer you are in the process of

As an international marketer, you are in the process of negotiating an agreement with a new customer in China. Would you stipulate mediation (conciliation) or arbitration as the required means for settling potential disp ...

Mathematical models are used as tools to describe reality

Mathematical models are used as tools to describe reality. These models are supposed to characterize the important features of the analyzed phenomena and provide insight. The normal distribution is an example of a random ...

George mcginnis a marketer for wingate paper is jogging

George McGinnis, a marketer for Wingate Paper, is jogging with Tom Cagle. Tom is a long-time distributor for Wingate Paper and has a good relationship with the company and its owners. George asks Tom about the status of ...

A set solution concept for a family of bargaining games f

A set solution concept for a family of bargaining games F is a function ? associating every bargaining game (S, d) in F with a subset of S (which may contain more than a single point). Let f : R4 → R be a function. Defin ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro