+1-415-670-9189
info@expertsmind.com
Find the natural domain
Course:- Mathematics
Reference No.:- EM13470




Assignment Help
Expertsmind Rated 4.9 / 5 based on 47215 reviews.
Review Site
Assignment Help >> Mathematics

1.  Find the natural domain of the following functions. Explain your results.

466_Mathematics problems.png

2. Given the equation y= x2 - 6x +8, find the following:

     (i) For what values of x is y  = - 10?
     (ii) For what values of x is y = ≥ 0 ?
     (iii) Find the minimum value of y.
     (iv) Find the maximum value of y.
 
3.  (a)Sketch the graph of y = x-1/x by translating, reflecting, compressing and stretching the graph of y =1/x

     (b) Find an expression for f o g, given that:

2017_Mathematics problems1.png

 4. Find the equation of all lines passing through the point (6, -1) for which the product of  their x- and y- intercepts is 3. Sketch these lines.

5. (a) Find the amplitude and period, and sketch at least two periods of the following function: 

       y = 1/2 cos(3x - Π)

      (b)  Express the following expression as a single logarithm:                        

          2ln(x+1) + 1/3 ln(x - cosx)
 
6. Find the expression for:  (i)  ) sin(cos-1x ) and  (ii) tan(cos-1x).

 

7. Solve the following equation for x:

567_Mathematics problems2.png

8. Find the limit of the following:

2232_Mathematics problems3.png

9. Find :

1482_Mathematics problems6.png

 

10. Find

735_Mathematics problems5.png




Put your comment
 
Minimize


Ask Question & Get Answers from Experts
Browse some more (Mathematics) Materials
Coffee is being poured into the mug at a constant rate. Sketch a graph of the depth of the coffee in the mug as a function of time. Account for the shape of the graph in ter
The Four Stars has aftertax income of $62,000 for the year just ended. The company has a residual dividend policy and a target debt-equity ratio of .5. The firm wants to inv
Determine which of the following passages are arguments. For those that are, identify the conclusion. For those that are not, determine the kind of non-argument.- Words are
1. Explain the true role of marketing (provide 2 examples of companies that are fully utilizing marketing to its potential vs. 2 companies that think it is only promotion or
Planning to study for your statistics examination with a group of classmates, one of whom you particularly want to impress. This student has volunteered to use Microsoft E
Assignment 6. Without attempting to evaluate the following indefinite integrals, find f'(x) in each case if f(x) is equal to 0∫x(1 + t2)-3 dt And 0∫x^2(1 + t2)-3 dt
Describe the history of the Chinese remainder theorem. Describe some of the relevant problems posed in Chinese and Hindu writings and how the Chinese remainder theorem appli
A machinist makes rings by drilling a hole through the center of a sphere that has a radius 4 inches. The hole itself will have a radius of r inches. What value of r will pr