Read e-book online Mathematics - Pre-Calculus and Introduction to Probability PDF

By Naval Education & Training Center

ISBN-10: 1463656890

ISBN-13: 9781463656898

Through enrolling during this self-study direction, you will have proven a wish to enhance your self and the army. take into accout, notwithstanding, this self-study direction is just one a part of the complete military education application. functional adventure, faculties, chosen studying, and your wish to be successful also are essential to effectively around out an absolutely significant education application. direction evaluate: the target of this path is to permit the coed to spot and practice calculations concerning the equations to a few of the conic sections; realize and paintings with recommendations in calculus (limits, differentiation, and integration); and realize the weather of introductory chance concept. THE direction: This self-study direction is equipped into material components, every one containing studying targets that can assist you verify what you might want to examine in addition to textual content and illustrations that can assist you comprehend the data. the subject material displays day by day necessities and reviews of team of workers within the score or ability quarter. It additionally displays assistance supplied by way of Enlisted neighborhood Managers (ECMs) and different senior body of workers, technical references, directions, etc., and both the occupational or naval criteria, that are indexed within the guide of military Enlisted Manpower body of workers Classifications and Occupational criteria, NAVPERS 18068. THE QUESTIONS: The questions that seem during this path are designed that can assist you comprehend the cloth within the textual content. worth: In finishing this path, you are going to increase your army wisdom. Importantly, it may well additionally assist you learn for the Navy-wide development in fee exam. when you are learning and find a reference within the textual content to a different booklet for additional info, glance it up.

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Extra resources for Mathematics - Pre-Calculus and Introduction to Probability

Example text

The fixed point is the focus, and the fixed line is the directrix. -Conic sections. The ratio referred to in the definition is called the eccentricity (e). If the eccentricity is greater than 0 and less than 1, the curve is an ellipse. If e is greater than 1, the curve is a hyperbola. If e is equal to 1, the curve is a parabola. A circle is a special case having an eccentricity equal to O. It is actually a limiting case of an ellipse in which the eccentricity approaches O. Thus, if 0< e < 1, it is an ellipse; e > 1, it is a hyperbola; e = 1, it is a parabola; e = 0, it is a circle.

2y = 3x or y = 2x 3. y 2 - 8y 4. x 2 + = 14x - 10xy + 25y 2 9 or (y - 4)2 - = 14x + 7 168x - 268y + 1050 = 0 THE CIRCLE y A circle is the locus of all points, in a plane that is a fixed distance from a fixed point, called the center. The fixed distance spoken of here is the radius of the circle. --+-------4F----+--x The equation of a circle with its center at the origin (fig. 2-5) is V (x - 0)2 + (y - 0)2 = r where (x,y) is a point on the circle and r is the radius (r replaces d in the standard distance formula).

Find the equation of the line through the points ( - 6,5) and (6,5). 11. Find the equation of the line whose y intercept is (0,0) and whose slope is 4. 12. Find the slope and y intercept of the line whose equation is 4y + 8x = 7. 13. Find the equation of the line that is 3/2 units away from the origin, if the perpendicular from the line to the origin forms an angle of 210 0 from the positive side of the X axis. 14. Find the equation of the line through (2,3) and perpendicular to 3x - 2y = 7. 15.

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Mathematics - Pre-Calculus and Introduction to Probability by Naval Education & Training Center

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