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Álgebra Linear

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5. Área de superfícies planas paralelogramos Exemplo 5.1 Exemplo 5.2 Quadrângulo Exemplo 5.3 Triângulo Exemplo 5.4 Círculo Exemplo 5.5 Triângulo Retângulo Note Important Note • • Main Objective As a result of this lesson, students will identify and articulate the parameters of the writing activity and make preparations prior to writing. Assessment Have students create a list on page Y in their journals of at least 3 shorter writing topic ideas for their chosen topic. Journal Activity Throughout this year, students will create their own journals. Each lesson will have specific sections for students to complete a brief journal entry or reflection. These journal activities can be as short as a quick sentence, heading, or up to a few paragraphs. Assess these through brief meetings or by reading through the journals weekly. Guided Practice Independent Practice APPENDIX C Fiscal Data: Estimated Revenue $_______________ Estimated Expenditures - Personnel - Operations - Miscellaneous $_______________ $_______________ $_______________ Surplus/Deficit Projected Need $________________ Financial Officer: Date: Reviewed by: Date: APPENDIX B Notes: /1 General Fund Expenditures! /B Total Expenditures! /2 General Fund Expenditure Category. Centre for Envir. Health, Fs, mp, & ** *^ Public Health Services Department. Mental Health Department. Department of Public Health and Community Services. Dept. of Human Services. Health Services. Dept. of Manpower and Logistics. APPENDIX A Project Budget Summary Total Cost 1. Personnel Costs 2. Operating Expenses A. Supplies B. Rentals C. Utilities Total Operating Expenses 3. Subcontracts Total Project Budget Prepared by Date Reviewed by Date Clasificación de Ángulos Ángulo agudo Ángulo recto Ángulo obtuso Ángulo agudo Ángulo en 3D Recto Obstuso Agudo Gas Wisnograda Obtuso Ángulos: Medidas Agudo Recto Obtuso Recto Obtuso Agudo Recto Obtsuso Medidas The Product Vector of a Vector and a Scalar Multiplying Vectors by Scalars When a vector is multiplied by a scalar, the vector's length is changed by the factor given by the scalar, and the direction of this vector is maintained unless the scalar is negative, in which case the vector points in the opposite direction. Denoting a vector by or v, k = any real number The magnitude of the vector kv is |k| times longer (or shorter, if 0 < |k| < 1) than the vector v, and points in the same (or opposite, if k < 0) direction. The Product Vector of a Vector and a Scalar The figures below show the multiplication of a specific vector by different scalars. Example 1 In this case, k = 3. The product vector kv has a length that is 3 times longer than the length of vector v. Both vectors point in the same direction. Example 2 Here, k = 1/2. The vector kv is half the length of vector v. The vectors have the same direction. Example 3 Now, let k = -2. The product vector kv has a length twice as long as vector v, but because the scalar is negative, the resulting vector points in the opposite direction. 2 How to Make a Segment PQ 12 Perpendicular to a Given Line 16 8.3 Geometrical Place 13 Volume of a Pyramid The volume of a pyramid can be found using the formula: V = (1/3) * base area * height Base Area The area of the base is given by S = 1/2 * a * b * sinC where a and b are the lengths of two adjacent sides, and C is the angle between them. Height The height is the perpendicular distance from the apex to the base. Varying the Apex The height and volume can be varied by changing the position of the apex within limits. CHAPTER 11 ROTATION OF AN OBJECT ABOUT A FIXED AXIS 11.1. Equation of motion 11.2. Kinematic relationship S = x f ( t ) : V = v (20 = m = dv solving . 11.3 Bending moment. 11.4. Calculation. Chapter 11. " ROTATION OF AN OBJECT ABOUT A FIXED AXIS The bending moment is obtained: Ms=1 2 (M dy dv = (2.3) dx dx M dx) 11.5. Equation of motion in terms of Euler angles Chapter 11. ROTATION OF AN OBJECT ABOUT A FIXED AXIS Example : Given the system shown below. Calculate X Chapter 11. ROTATION OF A RIGID OBJECT AROUND A FIXED AXIS 11.5. Equation of motion in terms of Euler angles A x Calculation 11.5. Example __________________ CHAPTER 11 ROTATION OF AN OBJECT ABOUT A FIXED AXIS A X 1. 5 Example 11.5. X B 1 2 3 4 5 Y Calculation 11.5. Example ------------------------------------ ____________________________________________________ EXHIBIT 10.1 ___________________________________________________ EXHIBIT 10.3 FOURTH AMENDMENT TO CREDIT AGREEMENT ___________________________________________________ _________________________________________________ 6193 -1- ____________________________________________________ FOURTH AMENDMENT TO CREDIT AGREEMENT This FOURTH AMENDMENT TO CREDIT AGREEMENT (this “Amendment”), dated as of December 16, 2020 (the “Fourth Amendment Effective Date”), is entered into among SEACOR Marine Holdings Inc. (the “Borrower”), certain Subsidiaries of the Borrower, as Guarantors, the Lenders party hereto, and DNB BANK ASA, New York Branch, as Administrative Agent (in such capacity, the “Administrative Agent”). W I T N E S S E T H: WHEREAS, the Borrower, the Lenders from time to time party thereto, and the Administrative Agent have entered into that certain Credit Agreement, dated as of July 30, 2018 (as amended by that certain (i) First Amendment to Credit Agreement, dated as of December 17, 2019, (ii) Second Amendment to Credit Agreement, dated as of March 11, 2020, (iii) Third Amendment to Credit Agreement, dated as of June 17, 2020, and (iv) this Amendment, collectively, the “Credit Agreement”); WHEREAS, the Borrower has requested that the Lenders agree to certain amendments to the Credit Agreement, and the Lenders are willing to do so on the terms and conditions set forth herein; NOW, THEREFORE, the parties hereto agree as follows: SECTION 1. Definitions. Capitalized terms used herein and not otherwise defined herein shall have the meanings assigned to such terms in the Credit Agreement. SECTION 2. -2- ____________________________________________________ FOURTH AMENDMENT TO CREDIT AGREEMENT (b) Clause (f) of Article VII of the Credit Agreement is hereby amended and restated in its entirety to read as follows: “(f) Limitations on Restricted Subsidiary Investments. Make or Commit to Make any Restricted Subsidiary Investment other than: (A) Investments by the Borrower or any Guarantor in or to any Restricted Subsidiary; (B) Investments by any Restricted Subsidiary in or to the Borrower or any Guarantor; (C) Restricted Subsidiary Investments constituting acquisitions permitted pursuant to clause (d) of Article VII (Acquisitions, Mergers, Etc.); (D) Investments consisting of non-cash consideration received in connection with any Permitted Disposition (other than any Disposition (i) made to a Joint Venture or (ii) of Accounts); and (E) Investments by the Borrower or any Guarantor in or to any Joint Venture in an aggregate amount not to exceed $10,000,000 at any time outstanding.” -3- January 1st ____________________ January 2nd ____________________ January 3rd ____________________ January 4th ____________________ January 5th ____________________ January 6th ____________________ January 7th ____________________ January 8th ____________________ January 9th ____________________ January 10th ____________________ January 11th ____________________ January 12th ____________________ January 13th ____________________ January 14th ____________________ January 15th ____________________ January 16th ____________________