Let n be an element of Z. Prove that 2n^2+2 is odd if and only if cos(n/2)

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

Question:

Let n be an element of Z. Prove that 2n^2+2 is odd if and only if cos(πn/2) is even.

Related Book For answer-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Posted Date: Sep 28, 2022 04:06 AM

See More Questions

Let n be an integer. Prove that n is odd if and only if 7n + 8 is odd.
Let n be an even positive integer. Show that when n people stand in a yard at mutually distinct distances and each person throws a pie at their nearest neighbor, it is possible that everyone is hit...
Let x0 be an element of a normed linear space X. There exists a linear functional f X* such that ||f|| = 1 and f(x0) = ||x0||.
Population increase in northern Virginia requires new road constructions and repairs annually from 2022. More public schools will also be needed by 2035. The state of Virginia is considering an...
Is a flowchart an effective documentation technique for identifying who or what performs a particular task? Explain,
A particle traveling in a circular path has a velocity which is in the direction of the radius. Indicate whether the statement presented is true or false. If true, state why. If false, rewrite the...
What departments report to (a) the vice-president of manufacturing and (b) the controller in the expenditure cycle?
The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the...
a) Figure 1 shows the curve y=x+4x and the x-axis. Find the area of the shaded region. y. y= x+4x Figure 1 Figure 2 2 y=6-x2 2 y=2 (5 marks) b) Figure 2 shows the shaded region bounded by the lines y...
Find a parabola y = ax2 + bx + c that passes through the point (1, 4) and whose tangent lines at x = -1 and x = 5 have slopes 6 and - 2, respectively.
State #letters in name Year entered the Union Rank for entering the Union Area (square miles) Alabama 7 1819 22 52,423 Colorado 8 1876 38 104,100 Hawaii 6 1959 50 10.932 lowa 4 1846 29 56,276...
What identifies required actions over a five- to seven-year period to attain the strategic goal(s) specified by the organization?
Our department needs a new copier, and your job is to research the options. Based on your research, you have selected an all-in-one machine that you believe will be cost effective and will perform...
Calculate raw material cost per pound sold, for each source. 4. Calculate direct labor cost per pound sold for: a. Grading. b. Cutting. (consider yields carefully). 5. Calculate packing cost (labor...
Affordable Beauty Supply produces inexpensive combs, brushes, and hair clips. As a way to minimize costs when sending out these small items, the company combines 10 to 12 different orders into one....
Jamie has inherited 500 shares of an investment company. She calls her broker to redeem the shares and is informed that the kind of investment company she owns makes no provision for future purchases...
4 points Save Answer Tommy is selling lemonade for $0.4 and expects to have labor costs of $0.05 per cup and material expense of 50 05 per cup Along comes Mom and charges him rent for the street...
Why can wastewater treatment requirements in Hawaii be less stringent than those in most locations on the U.S. mainland?
For each of the following statements state the converse, inverse, and contrapositive. Also determine the truth value for each given statement, as well as the truth values for its converse, inverse,...
Determine the value of the integer variable counter after execution of the following program segment. (Here i, j, k, l, m, and n are integer variables. The variables r, s, and t are also integer...
Prove that the function g used in the second method to analyze the (worst-case) time-complexity of the merge sort is monotone increasing.
Does the fact that selling is included as part of the promotional mix weaken or strengthen its role as a sub-element of marketing?
Discuss the role and function of selling.
Comment on why the proposed changes to sales processes are necessary. Also, which changes would you recommend in terms of their: (a) selling activities? (b) sales value proposition?

Let n be an element of Z. Prove that 2n^2+2 is odd if and only if cos(n/2)

Question:

Expert Answer:

Let n be an element of Z Since its a fconditional Im certain there will be tur... View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these accounting questions