TRUE OR FALSE I: 2x+3y – 4z= 2 and x+ 2y+ 2z = 3 perpendicular to each other

Q: Give the general solution to the equation x' Ax where A = %3D

A: To find the general solution of the given system, first we find the eigenvalues and corresponding…

Q: erify that the two planes ai 2x – 3z = 3

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Q: 13. y = x'/9, 0 sxs 2; x-axis

A: The formula for area of revolution of a curve on interval [a,b] about x-axis is given as…

Q: In Problem ,find an equation of the line L.

A: To find: The equation of line L. Given: The line L is passing through the point 1,2 and…

Q: Find the equation of the straight line passing through (1, 2, 3) and perpendicular to the plane x +…

A: Given:       Equation of the straight line passing through  (1, 2, 3) and perpendicular to the…

Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

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Q: Find the distance between the parallel planes P and P2 P: 2x-y+ 3z 6 = 0 P2: 6x - 3y+9z+ 6 = 0 8 *…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and 6х — Зу — 3г — 10 — 0. - - %3D -…

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Q: In Problem ,find an equation of the line L.

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Q: At what point does the line: L: x=-1, y= 10 + 31, z= 4 +3t im plane 1:x- 2y + 5z + 16 = 0?

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Q: Find the distance between two planes if they are parallel x+2y+3z=6 and 2x+4y+6z=5

A: Solution:GIvenx+2y+3z=6  and 2x+4y+6z=5To find the distanceFormula:If θ=0°  then the planes are…

Q: For planes 2x + y – z = 2 and 2x + 3y + 5z = 4,

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Q: Find the distance between the parallel planes: 3x - 4y + z = 12 6x - 8y + 2z = 2

A: Given, The equation of planes  3x - 4y + z = 12 6x - 8y + 2z = 2   We have to find the distance…

Q: find the point in which the line with symmtric equation2-x =y-1/3 =z/4 intersect the plane 2x-y+z=2

A: we are given the line with symmetric equation:  2-x =y-13=z4 and equation of the plane is:  2x-y+z=2…

Q: Q1-)A-) Find the distance from the point (0 ,1,1) to the line of intersection of the planes : x + 2y…

A: To find the distance from the point 0,1,1 to the line of intersection of the planes:…

Q: Find the acute angle of intersection between the two planes 2x−4y + 4z = 6 and 6x + 2y−3z = 4

A: We know that, acute angle between the lines a1x+b1y+c1z=d1 and a2x+b2x+c2z=d2 is given as…

Q: Find the distance between the parallel planes 2x +y + z = 0 and - 6x – 3y-3z – 13 = 0. | NOTE: Enter…

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Q: (i) 6y" – 5y – y = 0, y(0) = 2, y'(0) = 1. %3D %3D -

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: ) Find the equation of line of intersection of the following planes 3x – 4y + 4z – 29 = 0 , 6x – 8y…

A: Explanation of the solution is given below...

Q: x + 4y + 2z = 4, and 4x -3y +4z = 7. %3D %3D Perpendicular Neither Parallel

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Q: Find the angles between the planes 5x + y - z = 10, x - 2y + 3z = -1

A: Solution -  We have equation of two planes -  Plane 1 -…

Q: gives axis. y = 0.35 0.3 0.25 0.2 y 0.15 0.1 0 05

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Q: Q1-)A-) Find the distance from the point (0 ,1,1) to the line of intersection of the planes : x + 2y…

A: Use equation of plane

Q: Dyy 2y-x; %3D

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Q: Solve using D-Operator 3. y + 2y + y = x²

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Q: find the engle of intersection between 2x - 4y + 4z = 7 and 6x + 2y – 3z = 2 .

A: Consider the given planes: 2x-4y+4z=7So,n1→=2,-4,46x+2y-3z=2So,n2→=6,2,-3

Q: Find the intersection of the line and plane: 2x + 4y – 3z = 19, r(t) = (-2, 1, –1) +t (1, –1,2)

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Q: The planes 3x - 2y + 4z - 7 = 0 and -2x + 3y - z + 6 = 0 are perpendicular. Select one: True False

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Q: dbout specified axis. y = 8x - x2, y = 12; about x = 2 %3D V =

A: The method of cylindrical shell to find the volume of the region bounded is solved using the…

Q: Differentiate: y = 4cos (-)

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Q: aluate 2zy when Z =- and y = 3. %3D

A: From the given data

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: Parallel to 2x + 4y = 5, passing through (1,2)

A: The line parallel to the line 2x+4y=5.

Q: Solve for x, y z from X - 1 1 2 Z 3. 6 6

A: 2x-113y=2z66

Q: I: 2x+3y – 4z = 2 and x+ 2y+ 2z = 3 perpendicular to each other x = 1+t x = 1+ 2t II: and y = 3– 2t…

A: 1)     2x+3y-4z=2      and x+2y+2z=3 2)     x=1+ty=4-tz=3+t  and x=1+2ty=3-2tz=2+2t   3)…

Q: Find the distance between the parallel planes – 2x + y + z = 0 and - 10x – 5y – 5z – 11 = 0. - NOTE:…

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Q: Find the distance between the parallel planes P1: 2x – y + 2z +6=0 and P2:6x- 3y+6z- 18 = 0

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Q: D.(1,2), where f(x, y) 14x-y in the directionof v (2,-1)

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Q: suonenba 5x mons: (1) +- = 3x + 3 (ii) x + 7x + 12 = 0 In (x +4)- In (x*) = 4 = 15 (iii) %3D (iv)…

A: Simplification

Q: Find at (2, -2, 1) if dy x2 + y? + 22 = 6xz + 6yz + 21 %3D

A: Given that x2+y2+z2=6xz+6yz+21 Then we have to find ∂z∂y

Q: Find the distance between the two parallel planes 5x – 3y + z – 2 = 0 %3D -10x + 6y – 2z + 3 = 0

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Q: Find the distance between the parallel planes −3x+y+2z=−4 and 6x−2y−4z=1?

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Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

A: Given, The line is perpendicular to 5y=2x-6 and It is passing through the point (-1, 5). Concept…

Q: Find the equation of the line of intersection of the planes 2x+y-2z = 1 and x+2y-z = 4.

A: Planes are 3-dimensional spaces, that contains infinite lines. When two non-parallel planes…

Q: y² = 8x,x=2, AOR = Y AXIS

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Q: x + 13y + 7z = 4, and 2x + 26y + 7z = 8. Parallel Perpendicular Neither

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Q: Does the line given by x = 9 + 21t, y = - 7, z = 12 - 11t intersect the xz - ?plane yes No

A: As per bartleby guidelines we only give first one question answer.

Q: Suppose that the elevation on a hill is given by flx, y) = 200 – 4,² – 5. From the site at (4, 2),…

A: Given query is to find the direction of the rain's run off.

Q: Use Cramer's rule to solve for y. 5x + 4y + 4z = 39 4x +3y-2z 15 4х - 5y - 4z%3D -15 |

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.