Military examinations. Mathematical examination papers, set at entrance to the Royal military college, Sandhurst, with answers, by W.F. Austin |
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Αποτελέσματα 1 - 5 από τα 5.
Σελίδα 6
... Simplify ( x − y ) 3 + ( x + y ) 3 + 3 ( x − y ) 2 ( x + y ) + 3 ( x + y ) 2 ( x − y ) . 5. Show that if 2s = a + b + c - ( 8 − a ) 2 + ( 8 − b ) 2 + ( 8 − c ) 2 + 82 = a2 + b2 + c2 . - 6. Find the greatest common measure of x4 ...
... Simplify ( x − y ) 3 + ( x + y ) 3 + 3 ( x − y ) 2 ( x + y ) + 3 ( x + y ) 2 ( x − y ) . 5. Show that if 2s = a + b + c - ( 8 − a ) 2 + ( 8 − b ) 2 + ( 8 − c ) 2 + 82 = a2 + b2 + c2 . - 6. Find the greatest common measure of x4 ...
Σελίδα 14
... simplify - √1 − x + 1 √ ( 1 + x ) 1 1+ √1 - x2 6. Establish the relations between the coefficients and the roots of a quadratic equation . = 0 Under what circumstances are the roots x2 + 2px + q both real , and both positive ? If a ...
... simplify - √1 − x + 1 √ ( 1 + x ) 1 1+ √1 - x2 6. Establish the relations between the coefficients and the roots of a quadratic equation . = 0 Under what circumstances are the roots x2 + 2px + q both real , and both positive ? If a ...
Σελίδα 23
... simplified in tables of logarithms . 12. Find a from the following equations : - 1 ( 1. ) ax + = b . ( 2. ) 8 = a ax r 9 13. Find the value of 4.5 x .001 x 9 ― 1 325 00057 Given log 32 = 1.50515 , log 33 = 1.51851 . 14. In what time ...
... simplified in tables of logarithms . 12. Find a from the following equations : - 1 ( 1. ) ax + = b . ( 2. ) 8 = a ax r 9 13. Find the value of 4.5 x .001 x 9 ― 1 325 00057 Given log 32 = 1.50515 , log 33 = 1.51851 . 14. In what time ...
Σελίδα 42
... Simplify 82 + 2xy - Prove that 4 5 + Y * 1 9 ( x − 2 ) † 9 ( x + 1 ) ̄ 3 ( x + 1 ) 2 - 4. Express in a rational form : 7 + 3√5 7-3√5 7-3√5 If a = + 7 + 3 √√5 -1 + √3 - 1 b = 2 - α b 2 X2 ( x + 1 ) 2 ( x − 2 ) - - b3 find a3 + ...
... Simplify 82 + 2xy - Prove that 4 5 + Y * 1 9 ( x − 2 ) † 9 ( x + 1 ) ̄ 3 ( x + 1 ) 2 - 4. Express in a rational form : 7 + 3√5 7-3√5 7-3√5 If a = + 7 + 3 √√5 -1 + √3 - 1 b = 2 - α b 2 X2 ( x + 1 ) 2 ( x − 2 ) - - b3 find a3 + ...
Σελίδα 46
... Simplify the expression α 203 3x + 2 b - a b ( a + b + a = b ) ÷ ( a = b - 40 ) . - a + If x + y = u , xy = v , express x + y ' in terms of u and v . 4. Simplify the expression √2 + 1 √2 1 + - √3 + 1 √3-1 Find a factor which will ...
... Simplify the expression α 203 3x + 2 b - a b ( a + b + a = b ) ÷ ( a = b - 40 ) . - a + If x + y = u , xy = v , express x + y ' in terms of u and v . 4. Simplify the expression √2 + 1 √2 1 + - √3 + 1 √3-1 Find a factor which will ...
Άλλες εκδόσεις - Προβολή όλων
Military Examinations. Mathematical Examination Papers, Set at Entrance to ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Military Examinations. Mathematical Examination Papers, Set At Entrance To ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Military Examinations. Mathematical Examination Papers, Set At Entrance To ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 44 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Σελίδα 24 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of the line which touches it.
Σελίδα 36 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 12 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 4 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 36 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Σελίδα 36 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Σελίδα 44 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 4 - ... the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Σελίδα 4 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.