Given the exponential function (x) a x , show that (a) (u v) (u) (v) (b) (2x) (x) ...

Given the exponential function (x) = a x , show that (a) (u + v) = (u)

Question:

Given the exponential function ƒ(x) = a^x, show that

(a) ƒ(u + v) = ƒ(u) • ƒ(v).

(b) ƒ(2x) = [ƒ(x)]².

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

See More Books

Question Posted: Feb 28, 2023 01:49 AM

See More Questions

Given the exponential utility function U (W) = - e-aW: (a) Graph the function, assuming a < 0. (b) Does the function exhibit positive marginal utility and risk aversion? (c) Does the function have...
Show that the function f (x) = ax + b from R to R is invertible, where a and b are constants, with a 0, and find the inverse of f.
Show that if u and v are linearly independent vectors, then so are u + v and u - v.
Using the displacement formulation given in Section 9.3.2, use standard separation of variables to solve the torsion problem of a rectangular section shown in Fig. 9.12. Verify your solution with...
A music company collects data from customers who purchase CDs and MP3 downloads from them. Each person is asked to state his or her favorite musical genre from the following list: Classic Rock,...
Discuss the factors that organizations can change and the implications of them.
A New York firm is offering a new financial instrument called a "happy call." It has a payoff function at time $T$ equal to $\max (.5 S, S-K)$, where $S$ is the price of a stock and $K$ is a...
On November 1, 2017, Nordin Inc. (Nordin) issued a $5,000,000 bond with a 6 percent coupon rate and a maturity date of October 31, 2022. Interest is paid semi-annually on April 30 and October 31. The...
COMPLETE PART B AND USE NEWTON RAPHSON ITERATION METHOD SO SOLVE WHAT IS a and b. The answer should be 0.79 and 0.19 ish Question 1 Box-shaped design are commonly seen for small satellites. The...
Is an MBA a golden ticket? Pursuing an MBA is a major personal investment. Tuition and expenses associated with business school programs are costly, but the high costs come with hopes of career...
Which is greater where n > 8? (n)n+1 or (n + 1)n
Show that solving the logistic differential equation results in the logistic growth function dy 8 5 25. dt 4 || y(0) = 1
If p is a prime, prove that in Zp[x], aEZy
In a Monte Carlo simulation, a variable that we might want to simulate is a. lead time for inventory orders to arrive. b. times between machine breakdowns. c. times between arrivals at a service...
The primary difference between PERT and CPM is that a. PERT uses one time estimate. b. CPM has three time estimates. c. PERT has three time estimates. d. with CPM, it is assumed that all activities...
Simulation is relatively straightforward and flexible. It can be used to compare many different scenarios side by side. a. True b. False
What are the three types of route structure? Define or illustrate each.
A probability distribution has been developed, and the probability of 2 arrivals in the next hour is 0.20. A random number interval is to be assigned to this. Which of the following would not be an...
Joe Gallegos purchased a calculator for $12.48 and paid with a $20 bill. How much change did he get?
(a) What is the focal length of a magnifying glass that gives an angular magnification of 8.0 when the image is at infinity? (b) How far must the object be from the lens?
Growth rates of insects depend on the temperature T. Suppose that the length of an insect L follows the differential equation dL/dt = 0.001T(t) with t measured in days starting from January 1 and...
Growth rates of insects depend on the temperature T. Suppose that the length of an insect L follows the differential equation dL/dt = 0.001T(t) with t measured in days starting from January 1 and...
Growth rates of insects depend on the temperature T. Suppose that the length of an insect L follows the differential equation dL/dt = 0.001T(t) with t measured in days starting from January 1 and...
A tile is initially lying on a roof at a height of 20 m above the ground. A bird lands on the roof, pushing the tile off the roof, which then falls onto the ground. If the tile has a mass of 2 kg,...
How security is maintained within the RSA encryption method. Is it possible to crack RSA encryption and if so how? What precautions can be taken to ensure the security of RSA encryption.?
Mean diameter of holes produced by a drilling machine bit is 4.05 mm and the standard deviation of the diameters is 0.0028 mm. For twenty holes drilled using this machine, determine, correct to the...

Given the exponential function (x) = a x , show that (a) (u + v) = (u)

Question:

Step by Step Answer:

a...View the full answer

Calculus

Students also viewed these Mathematics questions