Question

Please answer the following problems using COMPLETE and GRAMMATICALLY CORRECT sentences. Please provide all supporting work...

Please answer the following problems using COMPLETE and GRAMMATICALLY CORRECT sentences. Please provide all supporting work for your solution..

1. Show that f ( x ) = a x grows faster than g ( x ) = b x as x ⟶ ∞ if 1 < b < a.

2. Show that f ( x ) = x x grows faster than g ( x ) = b x as x ⟶ ∞ if b > 1.

3. Prove that lim x ⟶ ∞ ( 1 + a x ) x = e a for a ≠ 0.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Instructions: Please answer each of the following questions. You must show all work using correct formulas...
Instructions: Please answer each of the following questions. You must show all work using correct formulas and units. Please show supporting work and verbal explanation. 3. During takeoff, an airplane goes from 0 m/s to 50 m/s in 8 s.   a) What is its acceleration? b) How fast is it going after 5 s? 4. An object has an initial velocity of 15 m/s and a constant acceleration of 4 m/s2. How long will it take before its final velocity...
Please complete the following problems. Show all your work. Be sure to specify all equations used...
Please complete the following problems. Show all your work. Be sure to specify all equations used and your process. You purchased 10,000 shares of stock JKL at price $30 on 60% margin. The call money rate is 3% and the spread is 1%. You sell the shares 3 months later when the price is $34. What is the total dollar return? Total percent return? Total annualized return?
Discrete Mathematics ***Make sure to give proofs in PARAGRAPH form using COMPLETE sentences. Use correct notation...
Discrete Mathematics ***Make sure to give proofs in PARAGRAPH form using COMPLETE sentences. Use correct notation and terminology *** 2. Prove that if a, b, c are integers, c divides a + b, and gcd(a, b) = 1, then gcd(a, c) = 1.
PLEASE ANSWER ALL PARTS AND SHOW THE WORK CLEARLY. 2. A solution containing 2.00 g of...
PLEASE ANSWER ALL PARTS AND SHOW THE WORK CLEARLY. 2. A solution containing 2.00 g of an unknown substance in 50.0 g of cyclohexane freezes at 1.05°C. The normal freezing point of cyclohexane is 6.60°C and Kf = 20.4 °C/m. Both substances are molecular. a. What is the value of i? __________ b. Calculate the molality of the solution using ∆T = Kf • m • i. Show all work. c. The units of molality are moles/kg. Moles of what...
Please complete the following problems. Show as much work as you can, and complete the problems...
Please complete the following problems. Show as much work as you can, and complete the problems as neatly as possible. The x in [x] after each problem denotes the point value. For each problem, perform the following steps. Assume that all variables are normally or approximately normally distributed. State the hypothesis and identify the claim. Find the critical value(s). Compute the test value. Make the decision. Summarize the results. The average yearly earnings of male college students (with at least...
Please show all work and state null and research hypotheses in complete sentences Correlation Hypothesis Testing...
Please show all work and state null and research hypotheses in complete sentences Correlation Hypothesis Testing Person       X (exercise- hr per week)         Y (stress level) 1                               5                                        4 2                               7                                        2 3                               6                                        0 4                               3                                        7 5                               6                                        5 6                               4      ...
Select the correct answer from the terms provided to complete the sentences below. There are more...
Select the correct answer from the terms provided to complete the sentences below. There are more answers than questions, therefore some of the items will remain unused. Options: Real interest rate, i + f, Decreased, Inflation-controlled rate, Market interest rate, i + f + if, (1 + f)n, MARR, Constant value, Increased, Inflation rate, Today's dollars Inflation occurs when the value of the currency has ___________ over time. Another term for today's dollars is __________ dollars. The market interest rate...
Question 1 [15 marks] Provide all necessary steps to find the limit of the following functions:...
Question 1 [15 marks] Provide all necessary steps to find the limit of the following functions: (a) lim┬(x→0)⁡〖csc⁡x-cot⁡x 〗 (b) lim┬(x→0^+ )⁡(1/x-1/tan^(-1)⁡x ) (c) lim┬(x→∞)⁡〖(1+a/x)^bx 〗 (d) (2-x)^tan⁡(πx/2) (e) (lim)┬(x→∞)⁡〖(e^4x-1-4x)/x^2 〗
please show all work and circle answer if you cant do all the parts please don't...
please show all work and circle answer if you cant do all the parts please don't answer question part 1) Let g(x,y)=cos(8x+5y). Evaluate g(1,−2). Answer: g(1,−2)= part 2) Suppose f(x,y)=xy^2−8. Compute the following values: f(4,3) = f(3,4) = f(0,0) = f(−1,3) = f(t,2t) = f(uv,u−v) = part 3) Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of drug given, x, and the time since injection, t. For 0≤x≤6 mg and...
2. Complete the following table. Show all work and correct significant figures. [ H3O+ ] [...
2. Complete the following table. Show all work and correct significant figures. [ H3O+ ] [ HO-] pH Acidic, Basic, or Neutral 1 x 10^ -5 M 1.73 x 10^ -8 M 3.5 x 10^ -10 M 11.0
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT