We define the first difference f of a function f (x) by f (x) = f (x
Question:
37. Show that if f (x) = x2, then δf (x) = 2x + 1. Calculate δf for f (x) = x and f (x) = x3.
39. Show that for any two functions f and g, δ(f + g) = δf + δg and δ(cf ) = cδ(f ), where c is any constant.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
37 fx x 2 f x f x 1 f x x 1 2 x 2 2x 1 f x ...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
we define the first difference δf of a function f (x) by δf (x) = f (x + 1) f (x). 41. First show that satisfies δP = (x + 1). Then apply Exercise 40 to...
-
The graph of the derivative f of a function f is shown. (a) On what intervals is f increasing or decreasing? (b) At what values of x does f have a local maximum or minimum? y= f'(x) 0 4
-
Define f and g on R by f(x) = sin x and g(x) = x/|x| if x 0 and g(0) = 0. a) Find f(E) and g(E) for E = (0, ), E = [0, ], E = (-1, 1), and E = [-1, 1]. Compare your answers with what Theorems 9.26,...
-
The jet plane starts from rest at s = 0 and is subjected to the acceleration shown. Determine the speed of the plane when it has traveled 1000 ft. Also, how much time is required for it to travel...
-
Whatever Video Company, Inc., produces and markets two popular video games, High Range and Star Boundary. The closing account balances on the companys balance sheet for last year are as follows:...
-
The following income statements were drawn from the annual reports of Pierro Sales Company. The president's message in the company's annual report stated that the company had implemented a strategy...
-
Water flows in the system shown in Fig. P3.96. Assume frictionless flow. (a) Calculate the rate \(Q\) at which water must be added at the inlet to maintain the 16-ft height. (b) Calculate the height...
-
Zunz Company, a producer of wooden toys, is about to adopt a lean operating environment. In anticipation of the change, Zunzs controller prepared the following list of costs for December: Required 1....
-
In 1965, the United States was at war with North Vietnam. Many people protested against it. Inspired, several students in Des Moines, Iowa planned a protest. They decided to wear black armbands with...
-
Besides counting errors and defects, are there other countable characteristics of software that imply quality? What are they, andcan they be measured directly?
-
The population (in millions) of a country as a function of time t (years) is P(t) = 30.20.1t . Show that the population doubles every 10 years. Show more generally that for any positive constants a...
-
Determine the domain of the function. 7. 9. (x) = x4 + (x 1)3 11. g(y) = 10 y+y1 G(11) = u2-4
-
10 = 3x 6 7x
-
A small bullet is fired into a large piece of wood. After the bullet penetrates the wood, the assembly moves as one unit along a low-friction track in the direction of travel of the bullet. (a) After...
-
If the video of an explosive separation (like the firing of a gun) is run backward, the event looks like a totally inelastic collision, with two or more originally separate pieces all sticking...
-
What is the reservedeposit ratio, and how does it affect bank runs?
-
A physics student driving a \(1200-\mathrm{kg}\) car runs into the rear of a \(2000-\mathrm{kg}\) car stopped at a red light. From the fact that the joined vehicles skidded forward \(4.0...
-
Can you tell from the coefficient of restitution whether a collision has added kinetic energy to a system, taken some away, or left the system's kinetic energy unchanged?
-
Will the following oxides give acidic, basic, or neutral solutions when dissolved in water? Write reactions to justify your answers. a. CaO b. SO 2 c. Cl 2 O
-
White Bolder Investments (WBI) You are an intern working for WBI, a large investment advisory services in Sydney. Among other regular customers, WBI has been providing advisory services for Jumbo...
-
Evaluate the following limits, or show that they do not exist. (a) (b) (c) (d) (e) (f) (g) (h) lim (x 2)/vx (x >0) lim (x 2)/Vx (x>0), lim (vx+1)/x (x-1) lim (Vx 1)/x (x> 0) (0
-
Using the discrete-time dynamical system and the derivation of Equation 1.10.7, find pt, mt+1, bt+1 and pt+1 in the following situations. s = 1.8, r = 1.8, mt = 1.2 105, bt = 3.5 106.
-
Solve for the equilibria of the following discrete-time dynamical systems Pr pt+1 = Pr+2.0(I-Pr)
-
In a three - level marketing channel, how many entities ( organization / individual ) are connected?
-
Find the future value and interest earned if $8904.56 is invested for 7 years at 5% compounded (a) semiannually and (b) continuously. (a) The future value when interest is compounded semiannually is...
-
A consultant advises that a fund pays out $100,000 at the end of 5 years. Provided $12,000 is invested in the fund at the start of each year, beginning immediately and continuing up to and including...
Study smarter with the SolutionInn App