Use the substitution u = e x to reduce the equation e 2x 8e x +12
Question:
Use the substitution u = ex to reduce the equation e2x − 8ex +12 = 0 to a quadratic equation in u. Factorise this quadratic and hence find the value(s) of u which satisfy it. What are the value(s) of x, correct to two decimal places, which satisfy the original equation?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
e8e 12 e 8e 120 Substituting u e reduces the ...View the full answer
Answered By
Shem Ongek
I am a professional who has the highest levels of self-motivation. Additionally, I am always angled at ensuring that my clients get the best of the quality work possible within the deadline. Additionally, I write high quality business papers, generate quality feedback with more focus being on the accounting analysis. I additionally have helped various students here in the past with their research papers which made them move from the C grade to an A-grade. You can trust me 100% with your work and for sure I will handle your papers as if it were my assignment. That is the kind of professionalism that I swore to operate within. I think when rating the quality of my work, 98% of the students I work for always come back with more work which therefore makes me to be just the right person to handle your paper.
4.80+
174+ Reviews
426+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
1. Find the following logarithms without using a calculator: 2. Express in terms of ln x and ln y: 3. Express as a single logarithm: 4. Use the change of base formula to simplify: 5. Simplify the...
-
Use the substitution u = 1/x to show that In x -dx -0 Jo 1+x*
-
Provide a description of an organization you are familiar with (possibly a company you have worked for in the past or are currently working for) and describe briefly what services they contribute....
-
Write the formulas of these compounds: sulfur trioxide; phosphorus pentachloride; dinitrogen tetroxide.
-
In Figure a spring of spring constant 3.00 x 104 N/m is between a rigid beam and the output piston of a hydraulic lever. An empty container with negligible mass sits on the input piston. The input...
-
(a) Two circles in a plane, C1 and C2, each rotate with frequency ? (relative to an inertia frame). See Fig. The center of C1 is fixed in an inertial frame, and the center of C2 is fixed on C1. A...
-
The five-year success rate of kidney transplant surgery from living donors is 86%. The surgery is performed on six patients. (a) Construct a binomial distribution. (b) Graph the binomial distribution...
-
In June 1995, Michael and Debra Boudreaux, doing business as D& J Enterprises, Inc., bought a retail electronics store operated under a franchise from Radio Shack. The Boudreauxes borrowed from...
-
1. What are some of the most common forms of unethical behavior in our workforce today? How could leadership in organizations help to minimize this ethical misconduct? Explain and support your...
-
If find: (a) f(3) (b) f(1) (c) f(0) 2. A car costs 1200 to run in its first year and subsequently the annual cost increases by 100 each year. How much does it cost to run the second year, third year...
-
(a) Find the logarithm log 2 32 (b) Express in terms of log 10 x and log 10 y (c) Express as a single logarithm ln 20 ln 18 + 2ln 6 logio 110x
-
Advertisements for a particular brand of soap include the phrase, "Love the skin you're in." Print ads usually show a close-up of a young woman's clean face, and the copy is usually written as if she...
-
You are driving at \(25 \mathrm{~m} / \mathrm{s}\) on a straight, horizontal road when a truck going \(30 \mathrm{~m} / \mathrm{s}\) in the same direction overtakes you. Let the positive \(x\)...
-
A rubber ball of inertia \(m_{\mathrm{b}}=0.050 \mathrm{~kg}\) is fired along a track toward a stationary cart of inertia \(m_{\mathrm{c}}=0.25 \mathrm{~kg}\). The kinetic energy of the system after...
-
A woman standing beside a road sees a car accelerate from rest to \(30 \mathrm{~m} / \mathrm{s}\). Describe the car's motion as seen by the driver of a truck traveling in the same direction as the...
-
Two identical particles, A and B, collide elastically. In the zero-momentum reference frame, what can you say about the ratios of the final and initial speeds, \(v_{\mathrm{A}, \mathrm{f}} /...
-
Find the largest nominal deficit that the government can run without raising the debt-GDP ratio, under each of the following sets of assumptions: a. Nominal GDP growth is \(10 \%\) and outstanding...
-
Sales and production budgets are the same in firms that follow a just-in-time inventory policy. Is this assertion correct? Comment on whether the materials usage budget would be the same as the...
-
1A. If the researcher is concerned about the number of variables, the nature of the analysis, and completion rates, then, he/she is at which stage of the sampling design process (Figure 11.1 in the...
-
For a one-dimensional random walk, determine the probability that the particle will have moved six steps in either the +x or x direction after 10, 20, and 100 steps.
-
In the early 1990s, fusion involving hydrogen dissolved in palladium at room temperature, or cold fusion, was proposed as a new source of energy. This process relies on the diffusion of H 2 into...
-
In the determination of molar conductivities, it is convenient to define the cell constant, K, as K = l/A, where l is the separation between the electrodes in the conductivity cell, and A is the area...
-
Write a 700- to 1,050-word paper in which you examine the concept of motivation. Address the following items: Define motivation. Identify at least two sources of motivation. Explain the relationship...
-
Characterize the nature of motivation, including its importance and focus Identify and describe the need theories on motivation. Identify and describe the behavior theories on motivation. Identify...
-
Calculate the amount that Astrid should withdraw from her college savings fund of $21000 if she wishes to withdraw equal amounts at the end of each month for four years. The annual nominal interest...
Study smarter with the SolutionInn App