For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled. The response should include the reasons for graphically representing the effect in a particular way. Calculate the values for ex and e2x correctly. Plot the values of ex and e2x correctly. Calculate the val
1) Give an example of an exponential function. Find this exponential function's inverse which will be a logarithmic function. Plot the graph of both the functions and post to the discussion forum. Discuss these functions and their graphs. 2) How do you think the knowledge of graphical representation of these functions will h
Part 1: Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the height of the screen along the vertical as well. Use the Pythagorean theorem to find the width along the horizontal In your post
Please see attachment.
Theory Questions: 1. Post a response to the following: How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from real life in which you mig
Think of a real-life situation that can be represented by a exponential function; translate the situation to the function; solve the function and represent it graphically. I want to use my example below: Suppose you deposit $100 at 10% interest. How long will it take to get $200? THANK YOU!!
You can just switch on the heater of your swimming pool / sauna / living room etc. But if you want to be calculate what time you should switch it on, to make sure that it is not heated up too early (save energy) or too late, you would use the logarithmic functions. Show in detail, how these situations can be represented by a
Reflect on radical expressions and their applications, and then consider how you might apply radical expressions to your daily life. Explain this application, and discuss what the equation might be. Did the study of these types of equations help you to understand the application better?
P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannualy, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P=$200 and r = 10%.
Rose's garden is a square with sides of length x feet. Next spring she plans to make it rectangular by lengthening one side 5 feet and shortening the other side by 5 feet. What polynomial represents the new area? By how much will the area of the new garden differ from that of the old garden?
Http://www.purplemath.com/modules/graphexp.htm http://www.purplemath.com/modules/expofcns.htm http://www.purplemath.com/modules/logs.htm http://www.purplemath.com/modules/graphlog.htm http://www.purplemath.com/modules/logrules.htm Spend some time on these sites and go through the information on graphing exponential and lo
4) Media Services charges $40.00 for a phone and $30/ month for its economy plan. The equation c=30t +40 describes the total cost, c, of operating a Media Services phone for t months. The total cost for 7 months of service is?$___ If a customer has only $110 available, how many months of service can she receive? 5) Graph the
See attached 33) Translate to an algebraic expression The product of 33% and some number The translation is ___? Type the percentage as a decimal, use d to represent some number 35)solve by the elimination method 7r-6s=2 6r+7s=111 What is the solution of the system________? (Type an ordered pair. Type an integer or
Type A cream is 18% butterfat and type B cream is 24% butterfat. Determine how many quarts of each type of cream must be used to create a 90 quart mixture that is 22% butterfat.
Please see the attachment to see these questions properly. _____________________________________________ Question 1 If [K:F] is finite and u is algebraic over K ,prove that [F(u):F] divides [K(u):F] Hint:[F(u):F] and [K(u):F(u)] are finite by Theorems 10.4,10.7 and 10.9 Apply Theorem 10.4 to Theorem 10.4 Le
29) Solve then graph 5x >= 30 30) Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 100 miles per hour. Train A passes a station at 3:5 a.m. If Train B passes the same station at 3:30 a.m., at what time will train B catch up to train A.
Suppose a population of initial size 100 grows at the rate of 8% per year forever. What is the size of the population at the end of year 1? What is the size of the population at the end of year 2? What is the size of the population at the end of year 3? What is the size of the population at the end of year n (for any integer
1. Prove that the polynomial x^4 - 16*(x^2) + 4 is irreducible in Q[x] (the ring of all polynomials with rational coefficients). 2. Show that every element of C (i.e., every complex number) is algebraic over R (the ring of all real numbers).
Define a sequence by the formula in the attached document and suppose that it has been chosen so that the sequence converges to a number p. What is p? What is the order of convergence?
Can you please explain a general strategy for factoring in a very organized way. Give an example if possible.
1. Solve. 2x / 5 = -10 2. The sum of an integer and its square is 12. Find the number 3. Solve. 4(7x + 10) = 3(9x - 5) + 20 4. Simplify ( 3x - 6y)2 5. The product of two consecutive numbers is 30. Find the smaller of the numbers. 6. Subtract 4x2 - 5x from the sum of 9 x2 -2 and 6x - 1. 7. A pair of cuff links
Proofs (see attached) Question 1 Let b and d be distinct nonzero real numbers and c any real number .Prove that { b,c +di } is a basis of C over R. Hint-For any r + si ∈ C, r +si= (r/b-cs/bd)b +s/d(c+di).Hence {b,c + di} spans C over R. Prove that it is also linearly independent over R. Question 2 If a+bi ∈
(Please see the attached file for the ALL questions). Find the slope, if it exists (simplify your answer use an integer or a fraction, use N if the slope is undefined). X=-2 m=__?__ Find the domain of the function 9 g(x) ___ 3-7x Soybean meal is 12% protein; cornmeal is 6% protein. How many
4. Solve x2 - 3x - 10 = 0 5. Find the value of the polynomial x3 - 4x when x = -2
This is just a simple calculation problem on how much chemical and spray should be used to spray a certain area in a field. How much chemical (in ounces) would you need to mix with how much water (in ounces) to make the following foliar fungicide application; a rate of 4.0 ounces chemical per acre in a total spray volume of 20
1. Solve using the multiplication principle -4x> 4. The function H described by H (x)=2.75x+71.48 can be used to predict the height, in centimeters, of a women whose humerus (the bone from the elbow to the shoulder) is x cm long predict the height of a woman whose humerus is 33 cm long . The predicted height of a woman wh
1. Write the following phrase using symbols. 4 times the sum of m and q 2. An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 82, 80, and 87 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course.
Please help solve the following: We are given the following equation: 3/2 ln 4x^6 - 4/5 ln 2 y^10 We are asked to simplify and re-write this as a single ln equation. The answer in my text is given as follows: ln 2^11/5 x^9/y^8 I do not understand - can you please explain simply so that I can understand.
Give examples of how quadratic equations can be used to solve everyday problems.
College level proof before real analysis. Please see the attached file.