Given a cone with vertex S, height 8 and volume (frac{{800pi }}{3}). Let A and B be two points on the base circle such that AB = 12, the distance from the center of the bottom circle to the plane (SAB) is equal to – Math Book

Given a cone with vertex S, height 8 and volume (frac{{800pi }}{3}). Let A and B be two points on the base circle such that AB = 12, the distance…

Continue ReadingGiven a cone with vertex S, height 8 and volume (frac{{800pi }}{3}). Let A and B be two points on the base circle such that AB = 12, the distance from the center of the bottom circle to the plane (SAB) is equal to – Math Book

In space (Oxyz) for A( 0,0;10),B(3;4;6) Consider the points M changes such that triangle OAM has no obtuse angle and has an area equal to 15. Minimum value of the length of the line segment MB in which of the following ranges? – Math book

In space (Oxyz) for A( 0,0;10),B(3;4;6) Consider the points M changes such that triangle OAM has no obtuse angle and has an area equal to 15. Minimum value of the…

Continue ReadingIn space (Oxyz) for A( 0,0;10),B(3;4;6) Consider the points M changes such that triangle OAM has no obtuse angle and has an area equal to 15. Minimum value of the length of the line segment MB in which of the following ranges? – Math book

In space (Oxyz), for two points (Aleft( {4;5;6} right);Bleft( {1;3;2} right)). Let (H) be the perpendicular projection of (A) onto the plane (left( {Oyz} right)). Let (C) be a point on the axis (Oz) such that (BC) and (AH) are two intersecting lines. Determine the point coordinates (C). – Math book

In space (Oxyz), for two points (Aleft( {4;5;6} right);Bleft( {1;3;2} right)). Let (H) be the perpendicular projection of (A) onto the plane (left( {Oyz} right)). Let (C) be a point…

Continue ReadingIn space (Oxyz), for two points (Aleft( {4;5;6} right);Bleft( {1;3;2} right)). Let (H) be the perpendicular projection of (A) onto the plane (left( {Oyz} right)). Let (C) be a point on the axis (Oz) such that (BC) and (AH) are two intersecting lines. Determine the point coordinates (C). – Math book

In space (Oxyz), give point (Aleft( {0;1;2} right)) and line (d:frac{{x – 2}}{2} = frac{{y – 1}}{2 } = frac{{z – 1}}{{ – 3}}). Let (left( P right)) be the plane that passes through (A) and contains (d). Distance from point (Mleft( {5; – 1;3} right)) to (left( P right)) is equal to – Math Book

In space (Oxyz), give point (Aleft( {0;1;2} right)) and line (d:frac{{x - 2}}{2} = frac{{y - 1}}{2 } = frac{{z - 1}}{{ - 3}}). Let (left( P right)) be the…

Continue ReadingIn space (Oxyz), give point (Aleft( {0;1;2} right)) and line (d:frac{{x – 2}}{2} = frac{{y – 1}}{2 } = frac{{z – 1}}{{ – 3}}). Let (left( P right)) be the plane that passes through (A) and contains (d). Distance from point (Mleft( {5; – 1;3} right)) to (left( P right)) is equal to – Math Book

How many pairs of integers (x;y) satisfy ({log _3}left( {{x^2} + {y^2} + x} right) + {log _2}left( {{x^2} ) + {y^2}} right) le {log _3}x + {log _2}left( {{x^2} + {y^2} + 24x} right)?) – Math Book

adsense How many pairs of integers are there? \((x;y)\) satisfy \({\log _3}\left( {{x^2} + {y^2} + x} \right) + {\log _2}\left( {{x^2} + {y^2}} \right) \le {\log _3}x + {\log…

Continue ReadingHow many pairs of integers (x;y) satisfy ({log _3}left( {{x^2} + {y^2} + x} right) + {log _2}left( {{x^2} ) + {y^2}} right) le {log _3}x + {log _2}left( {{x^2} + {y^2} + 24x} right)?) – Math Book

How many integer values ​​of the parameter (a in left( { – 10; + infty } right)) for the function (y = left| {{x^3} + left( {a + 2} right)x + 9 – {a^2}} right|) covariates on the interval (left( {0;1} right))? – Math book

adsense How many integer values ​​of the parameter \(a \in \left( { – 10; + \infty } \right)\) so that the function \(y = \left| {{x^3} + \left( {a +…

Continue ReadingHow many integer values ​​of the parameter (a in left( { – 10; + infty } right)) for the function (y = left| {{x^3} + left( {a + 2} right)x + 9 – {a^2}} right|) covariates on the interval (left( {0;1} right))? – Math book

[2023] Practice test number 14 Structure standard exam 2023 – word file – with detailed solutions – Math book

adsense [2023] Practice test number 14 Structure standard exam 2023 – word file – with detailed explanation========== booktoan.com shares with you the set of exam questions for the high school…

Continue Reading[2023] Practice test number 14 Structure standard exam 2023 – word file – with detailed solutions – Math book

[2023] Practice test number 15 Structure standard exam 2023 – word file – with detailed solutions – Math book

adsense [2023] Practice test number 15 Structure standard exam 2023 – word file – with detailed explanation========== booktoan.com shares with you the set of exam questions for the high school…

Continue Reading[2023] Practice test number 15 Structure standard exam 2023 – word file – with detailed solutions – Math book