User Hosam H

13 votes

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How would I go about calculating the center of a sphere based on points from it's surface?

answered Oct 20, 2022 at 16:57

8 votes

Non-diagonal n-th roots of the identity matrix

answered Jul 1, 2022 at 21:38

8 votes

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How to find $X$ with these given values?

answered Nov 14 at 0:12

7 votes

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Calculate the volume of a tetrahedron with vertices $(1,1,1)$, $(2,1,1)$, $(1,2,1)$, $(1,1,2)$

answered Aug 5, 2022 at 2:08

7 votes

Determining the ellipse tangent to the sides of a given convex pentagon

answered Nov 9 at 8:24

7 votes

Determine the maximum of $f(x) = x + \sqrt{4-x^2}$ without calculus

answered Aug 20, 2021 at 0:03

7 votes

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How to prove that these two matrices have the same determinant?

answered May 5 at 0:43

6 votes

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Finding smallest vector satisfying an equation with a dot product

answered Jul 17, 2021 at 21:13

6 votes

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Ant on a Cylinder

answered Nov 2, 2022 at 12:19

6 votes

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How far does one have to zoom into an image that was rotated a certain amount of degrees in order to only see only the original pixels again?

answered Apr 19, 2022 at 11:13

5 votes

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From any point $P$ on the line $5x+4y=20$ tangents are drawn to the circle $x^2+y^2=4$ then find the locus of the circum-centre of the $\triangle PQR$

answered May 19 at 14:23

5 votes

Algorithm to determine if a 3D ellipsoid is contained within another?

answered Dec 15, 2021 at 21:59

5 votes

Accepted

What angle halves the volume of a hemisphere?

answered Oct 7 at 23:45

5 votes

If $a^{2}+b^{2} \leq 4$, prove that $a+b \leq 4$

answered Aug 23, 2021 at 2:16

5 votes

Line tangent to two circles

answered Nov 3, 2022 at 15:38

4 votes

Minimum distance from the vertices of a quadrilateral

answered Aug 6, 2022 at 15:21

4 votes

Express $\sec^{-1}(x)$ in terms of $\cos^{-1}(x)$

answered Jul 8, 2022 at 0:19

4 votes

Accepted

If $x^2 + mx + 1 = 0$ and $x^2 + x + m = 0$ share a same root ($m \neq 1$), find $m$

answered Jul 8, 2022 at 13:21

4 votes

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Ratio of heights of a sphere,over and under water

answered Jun 25, 2022 at 17:24

4 votes

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Rotating a cone

answered Nov 7, 2021 at 2:41

4 votes

Cross section of a sphere cut by cylinder

answered Feb 9, 2022 at 6:19

4 votes

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Find the area of the shaded region. (Apparently this is a Chinese primary school math question!)

answered Mar 7, 2022 at 22:45

4 votes

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A cube is dropped on the floor, and the triangular hole created has sides of lengths $68,$ $75,$ and $77.$ Find the depth of the hole.

answered Mar 11, 2022 at 17:23

4 votes

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Solid enclosed by the paraboloid $\frac{y^2}{b^2}+\frac{z^2}{c^2}=2\frac{x}a$ and the plane $x=a.$

answered Mar 15, 2022 at 22:54

4 votes

Solving non linear equations where equations are equals

answered Mar 24, 2022 at 23:40

4 votes

Determining the minor radius of an ellipse from its major axis and a tangent line

answered Oct 26 at 3:41

4 votes

Accepted

Equation with 2 unknowns

answered Nov 4, 2022 at 14:24

4 votes

How do I prove that the distance between two points is longer than one point in the normal and the other point in a plane?

answered Oct 17, 2022 at 14:24

4 votes

Accepted

Given a vector, find others vectors which form 90º with the first

answered Nov 28, 2022 at 19:21

4 votes

Prove that points $C,D,E,F,K,H$ lie on an ellipse

answered Feb 8 at 22:16

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1,037 Answers

How would I go about calculating the center of a sphere based on points from it's surface?

Non-diagonal n-th roots of the identity matrix

How to find $X$ with these given values?

Calculate the volume of a tetrahedron with vertices $(1,1,1)$, $(2,1,1)$, $(1,2,1)$, $(1,1,2)$

Determining the ellipse tangent to the sides of a given convex pentagon

Determine the maximum of $f(x) = x + \sqrt{4-x^2}$ without calculus

How to prove that these two matrices have the same determinant?

Finding smallest vector satisfying an equation with a dot product

Ant on a Cylinder

How far does one have to zoom into an image that was rotated a certain amount of degrees in order to only see only the original pixels again?

From any point $P$ on the line $5x+4y=20$ tangents are drawn to the circle $x^2+y^2=4$ then find the locus of the circum-centre of the $\triangle PQR$

Algorithm to determine if a 3D ellipsoid is contained within another?

What angle halves the volume of a hemisphere?

If $a^{2}+b^{2} \leq 4$, prove that $a+b \leq 4$

Line tangent to two circles

Minimum distance from the vertices of a quadrilateral

Express $\sec^{-1}(x)$ in terms of $\cos^{-1}(x)$

If $x^2 + mx + 1 = 0$ and $x^2 + x + m = 0$ share a same root ($m \neq 1$), find $m$

Ratio of heights of a sphere,over and under water

Rotating a cone

Cross section of a sphere cut by cylinder

Find the area of the shaded region. (Apparently this is a Chinese primary school math question!)

A cube is dropped on the floor, and the triangular hole created has sides of lengths $68,$ $75,$ and $77.$ Find the depth of the hole.

Solid enclosed by the paraboloid $\frac{y^2}{b^2}+\frac{z^2}{c^2}=2\frac{x}a$ and the plane $x=a.$

Solving non linear equations where equations are equals

Determining the minor radius of an ellipse from its major axis and a tangent line

Equation with 2 unknowns

How do I prove that the distance between two points is longer than one point in the normal and the other point in a plane?

Given a vector, find others vectors which form 90º with the first

Prove that points $C,D,E,F,K,H$ lie on an ellipse