Question: f is concave if and only if -f is convex.

f is concave if and only if -f is convex.

Step by Step Solution

★★★★★

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Assume is concave That is for every x 1 x 2 and 0 1 x 1 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

914-M-N-A-O (464).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Q:

Dimsdale Sports, a merchandising company, reports the following balance sheet at December 31. To prepare a master budget for January, February, and March, use the following information. The companys...

Q:

A function f: S is concave if and only if hypo f is convex.

Q:

If f F(S) is strictly positive definite, quasi concave, and homogeneous of degree one, then f is concave.

Q:

Prove that a function f is both convex and concave on f if and only if there exist m, b R such that f(x) = mx + b for x I.

Q:

Problem 5: Consider the following constrained nonlinear program max In x1 + Inc2 s.t. 2x1 + 22 -4, X1, 22 2 0. (a) Compute the Hessian matrix of the objective function and use it to show that the...

Q:

Problem 5: Consider the following constrained nonlinear program max lnml +ln332 s.t. 2:51 + 332 S 4, 331,332 2 0- (a) Compute the Hessian matrix of the objective function and use it to show that the...

Q:

how to solve all parts of question 4 4. Concavity and quasiconcavity a. Let f(x) = x/ for x E R+ +. Notice that x here is a single variable, x E R+ +, not a vector. Using calculus, determine for...

Q:

A convex lens is thicker at the center than at the edges, while a concave lens is thinner at the center than at the edges. Since the lens has two surfaces, it has two focal points, E and center of...

Q:

3. 3 EQUIPMENT 49 3.3 Equipment Figure 3.14: Equipment setup for Week 3. The following equipment is to be set up at all 11 stations. 1- Optical bench 10- Lab jack 2- 12\" ruler 11- Laser (unused but...

Q:

ECON10001/20281 3 of 12 Each of these multiple-choice questions has exactly ONE correct answer. Indicate your answer on your answer sheet provided. 1. Consider the function f : X Y . Which of the...

Q:

GENERAL PHYSICS 2 Please answer Activities 1-3 given after the references provided below. Please provide the best and original answers with effective solutions. Some answers are provided in some...

Q:

Many variables have an impact on determining the price of a house. A few of these are Size of the house (square feet), Lotsize, and number of Bathrooms. Information for a random sample of homes for...

Q:

Why should managers not counsel or provide advice to any employee suspected of being depressed?

Q:

Summary of Findings From Porter s Five Forces Analysis Comparing automotive and aerospace Industries

Q:

A large corporation is going to award a contract for fine-line pens to be used nationally in its offices. Two suppliers, Bic and Pilot, have submitted bids. To determine the preference of office...

Q:

Working backward from the solution to the problem is useful in many areas. Euler, Lagrange, and other great masters did it. To get additional insight into the idea of integrating factors, start from...

Q:

On December 31, the following data were accumulated for preparing the adjusting entries for Bellingham Realty: The supplies account balance on December 31 is $1,585. The supplies on hand on December...

Q:

Can moral decisions be made on a completely codified, algorithmic basis, or are there fundamental weaknesses to this approach to moral decision making?

Q:

In the silly Post Correspondence Problem, SPCP, the top string in each pair has the same length as the bottom string. Show that the SPCP is decidable.

Q:

Create a stakeholder assessment matrix based on the following scenario. Be sure to build a list of all stakeholders. Use the format shown in Figure 4-8. J&B Enterprises is the second-largest maker of...

Q:

Data on oxide thickness of semiconductors are as follows: 425, 431, 416, 419, 421, 436, 418, 410, 431, 433, 423, 426, 410, 435, 436, 428, 411, 426, 409, 437, 422, 428, 413, 416. (a) Calculate a point...

Q:

X1, X2, .., Xa is a random sample from a normal distribution with mean and variance 2. Let Xmin and Xmax be the smallest and largest observations in the sample. (a) Is (Xmin + X man)/2) an unbiased...

Q:

Suppose that X is the number of observed successes in a sample of n observations where p is the probability of success on each observation. (a) Show that P = X/n is an unbiased estimator of p. (b)...

Q:

Please help with PART C ONLY. I included the rest incase it is helpful in solving part (c). I know that by F-test of no regression they mean the beta's are zero. Isn't F-static not necessarily...

Q:

UIIS) Projecting Future Performance ABC Company, Inc.-20X5 Financial Position Assets Liabilities and Equity Cash Marketable Securities Accounts Receivable Inventory Current Assets $10,000 5,000...

Q:

Please make it fast 2 9 1 .