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Calculus Sample Test
This is a comprehensive calculus test assessing skills in analyzing and working with equations of conic sections. It begins with four questions on circles, requiring students to graph circles from their equations, identify the centers and radii. This tests the ability to interpret and extract key information from the equation of a circle. The second section provides practice in determining the center and radius of a circle when given in general form, reinforcing the formula relating a circle's center and radius to its equation. Students must then graph parabolas, locate key elements like foci, directrices and vertices. This continues in the next section on converting parabola equations to standard form. The focus then shifts to ellipses - graphing them from standard form equations, identifying foci. Finally, the test requires writing ellipse equations in standard form with given foci and vertices. Through these varied questions on conic sections, the test thoroughly examines conceptual knowledge of these geometrical shapes as well as the ability to move flexibly between equation and graphical forms. Attempting these questions would provide good practice for smoothly applying calculus concepts on conic sections. The breadth of concepts covered also allows assessment of skills in diverse, interconnected topics within this domain.
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Specifications
- School: Secondary school
- Subject: Calculus
- All documents for this course ›
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- Section: Examinations
- Made on: 01-09-2024
- Type: .pdf
- Pages: 2
- Language: English
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