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A cylinder cuts the plane in the curve .. has its axis parallel to 3𝑥=-6𝑦 = 2𝑧. Find its equation.

Find equation to the enveloping cylinder of the sphere generators parallel to the line.

Find the angle between the lines 𝑥 + 𝑦 + 2𝑧 − 3 = 0 = 2𝑥 + 𝑦 + 𝑧 + 1 and(𝑥−1)/2=𝑦/1=(𝑧−3)/(−1) .

Find the angle between the line (𝑥−1)/2=𝑦/2=(𝑧−3)/1 and the plane 3𝑥 + 2𝑦 − 6𝑧 = 4.

Find the point where the line passing thr' (0, −1, 2) and direction ratios 2, −1, 3 meets the plane

Find the equation of the plane through the origin and containing the line

Find the equation to a plane through the line and parallel toanother line with direction cosines.

Find the equation to a plane passing through the line and through the point.

Find the length of the perpendicular from the point (1,2,3) on the line (𝑥−6)/3=(𝑦−7)/2=(𝑧−7)/(−2).

Find symmetrical form and equation to a plane through (2,1,4) and perpendicular to the given line.

Equation of the line through the point (1,2,3) parallel to the line 𝑥 − 𝑦 + 2𝑧 = 5, 3𝑥 + 𝑦 + 𝑧 = 6.

Equations of the line of intersection of the planes in the symmetric form.

Find the co-ordinates of the point of intersection of the line the plane 3𝑥+4𝑦+5𝑧=5.

Find the equations of line passing through a given point and having direction cosines 𝑙, 𝑚, 𝑛.

Prove that the spheres 𝑥^2+𝑦^2+𝑧^2+6𝑦+2𝑧+8=0 and𝑥^2+𝑦^2+𝑧^2+6𝑥+8𝑦+4𝑧+20=0 are orthogonal

Derive the condition of orthogonality of two spheres.

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Find the equation of cylinder whose generators are parallel to the line 𝒚=𝒎𝒙, 𝒛=𝒏𝒙 which intersect..

Find the equation of cylinder whose generators h𝐚𝐯𝐞 𝐝𝐢𝐫𝐞𝐜𝐭𝐢𝐨𝐧 𝐫𝐚𝐭𝐢𝐨𝐬 (𝟏,−𝟐,𝟑) whose guiding curve

Find the equation of cylinder whose generators are parallel to the axis of z and intersect the curve

Equation of cylinder whose generators intersect the guiding plane curve and parallel to the line

Find the equation of cylinder whose generators are parallel to the line .. and which pass through .

Line Integral When Path is independent

Solve: y_(x+2)-4y_(x+1)+4y_x=3x+2^x

Solve: u_(x+2)-5u_(x+1)+6u_x=36.

Solve: 𝑦_(𝑥+2)−4𝑦_(𝑥+1)+3𝑦_𝑥=3^𝑥 +1​

Solve the non-homogeneous linear difference equation 𝛥𝑦_𝑥+𝛥^2 𝑦_𝑥=𝑠𝑖𝑛𝑥

Solve the following difference equations: (a) 𝑦_(𝑥+1)−3𝑦_𝑥=1 (b) 𝑦_(𝑥+1)−3𝑦_𝑥=0, 𝑦_0=2

Solve the following non-homogeneous linear difference equation:  𝑦_(𝑥+2)−4𝑦_𝑥=9𝑥^2

Formulate the Fibonnaci difference equation and solve it.

Form the difference eq. of general solution (a) 𝒚_𝒙=𝒄_𝟏 𝒙^𝟐+𝒄_𝟐 𝒙+𝒄_𝟑 (b) 𝒚_𝒙=(𝒄_𝟏+𝒄_𝟐 𝒙) (−𝟐)^𝒙

Show that 𝒚_𝒙=𝒄_𝟏+𝒄_𝟐.𝟐^𝒙−𝒙 is a solution of difference equation 𝒚_(𝒙+𝟐)−𝟑𝒚_(𝒙+𝟏)+𝟐𝒚_𝒙=𝟏

Derivative using Stirling’s formula

Maxima and Minima of a Tabulated Function

Derivatives using Newtons forward interpolation formula

Derivatives using Newtons Backward Interpolation Formula

The Role of Mathematics in Industry

Use Of Social Media For Career Purposes

Gamma Function

Gamma Function with Example on logarithmic Function

Gamma Function

Gamma Function Prove That ⌈1/2 =√𝜋

Gamma Function

Gamma Function ⌈1=1

Enveloping Cylinder. How to find the equation of the enveloping cylinder of the sphere.

Right circular cylinder. How to find equation of right circular cylinder

Cylinder. How to find equation of cylinder whose generators intersect the guiding curve

Enveloping Cone of the Sphere. How to find the enveloping cone of the sphere.

How to find equation of cone with given vertex and plane curve

What is right circular cone? How to find the equation of right circular cone ?

Determine the (2,5) group code function eH where H is parity check matrix

How to determine the coset leaders, syndrome for the given parity check matrix and decode the word

How to find the rank of A, using normal form

Find A inverse (if it exists) by using adjoint method

Find A inverse (if it exists) by using adjoint method

How to find the centre and radius of the sphere

Prove that the two spheres touch each other and find the point of contact.

Find the equation of sphere which has its centre at C(2,3,-1) and touches the line

Show that (Z7, X) is a cyclic group.Find all generators, proper subgroups and order of element