Find the shortest Distance d faumthe point to the plane X+y+Z=8.

Q: Find the shortest distance, d, from the point (11, 0, –6) to the plane x + y + z = 6. = p

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Q: Find the shortest distance r1 between the two lines given by r₁ (t) = (3 + t, 3t, 5 – 4t) and r₂ (t)…

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Q: Find the length of the curve. x = 4, y = 3/2, 0 st 0st <9 242 61 2

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Q: Find the shortest distance from the point (1,2) to appoint on the circumference of the circle…

A: We have to find the shortest distance from the point (1,2) to appoint on the circumference of the…

Q: What is the shortest distance between a chord with length of 12 units and center of a circle with…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: Find the distance from the point (5,8) to the circle x2 + Y2 + 2x + 6y + 3 = 0

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Q: Find the shortest distance between the lines i-(i+2j+k) + 2(i-j+â)and 7= 2i - j-k + 4(2i + j+ 2k)

A: The equation of the given lines are r→=i^+2j^+k^+λi^-j^+k^r→=2i^-j^-k^+μ2i^+j^+2k^ It is known that…

Q: Find the center C(h,k) and radius (a) :of the circle 9. x² + y² – 4x 4 0 =

A: Write in standard form

Q: Find the shortest distance between the point A (3, 10) and the line y = x + 1.

A: Our Aim is to find the shortest distance between the point A(3,10) and the line y=12x+1 -(i)

Q: Find the length of the chord intercepted by the circle x2+y2-x+3y-22=0 on the line y=x-3

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Q: A5: What is the minimum (perpendicular) distance from the point p = (-1,–2) to the line L := 4x = 14…

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Q: B) Use Lagrange multipliers to find the the points on the circle a² + y? = ry has its extreme…

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Q: Find the length of the curve r=θ^2 from θ=0 to θ=6

A: Given: -

Q: Find the minimum distance from the parabola a – y? = 0 to the point (0, 3). Minimum distance =

A: Find the distance using distance formula and then differentiate to get the minimum value equate the…

Q: Find the shortest distance, d, from the point (4, 0, –4) to the plane x + y + z = 4.

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Q: Find the shortest distance, d, from the point (5, 0, -8) to the plane x + y + z = 8. d =

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Q: Find the point(s) of intersection of the parabola y =x2+ 2 andthe line y = x + 4.

A: The given functions are y=x2+2   and   y=x+4

Q: What is the shortest distance from the point (4,0, 5) to the sphere (x – 1)2 + (y + 2)2 + z² = 36?…

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Q: Find the length of the curve from the entire hypocycloid 2 2 x3 + Y³ = a³.

A: Explained below

Q: Find the shortest distance between the skewed lines. l1: = 1+ 2t, y = -1+t, z = 2+ 4t and l2: x= -2+…

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Q: Find the length of the curve. (2t + 1)3/2 2.y = Osts 16 x= 3

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Q: A. Find the shortest distance between the point A (3, 10) and the line y=x+1.

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Q: Find the minimum distance from the point (-6, -6, 0) to the surface z = O√√559 O 3√61 09 O√773 O√69…

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Q: Find the length of the chord intercepted by the circle x2+y2+3y-22=0 on the line y=x-3

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Q: Graph the first-octant portion of each plane. x + y + z = 15

A: Given a Plane, x+y+z=15 We need to graph the above plane.

Q: Find the shortest distance from the point (2,0, –3) to the plane x + y + z = 1.

A: This is a problem related to geometry part. Based on the concept of plane and point we will find the…

Q: Find the area of the segment cut off from the parabola x2 = 8y by the line x- 2y + 8 = U. %3D

A: Introduction ::

Q: Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4.

A: The shortest distance of a point from a plane is said to be along the line perpendicular to the…

Q: Find the shortest distance from the point ( – 1, – 2, 5) to the cone z = x² + y?. Please round to…

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Q: Find the length of the curve 24ry = y' + 48, 2 <y<4 Select one:

A: We have to find the length of the given curve   the given curve is 2xy=y4+48the given interval…

Q: Find the coordinates of the midpoint of the segment that joins the points a) (a, 0) and (0, b). b)…

A: Givena a, 0 and 0, bb 2a, 0 and 0, 2bMidpoint =x1 +x22 , y1+y22

Q: Find the distance from the point (5,8) to the circle x+y2 + 2x + 6y +3 = 0

A: Please see the explanation below

Q: Find the minimal distance bettween the point Cli4) to the line

A: Definition used -                 Minimum distance from a point to the line -…

Q: A. Find the shortest distance between the point A (3, 10) and the line y = x +1.

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Q: Find the shortest distance from the point (- 1, – 2, 5) to the cone z = x² + y². Please | round to…

A: Distance of a point from cone is                                      d=(x-x1)2+(y-y1)2+(z-z1)2 from…

Q: Find the distance from the x-axis to the plane z = 3.

A: Given equation of plane - z = 3z-3 = 0       ................(1)General equation of plane is given…

Q: Find the shortest distance from the origin to the line of intersection of the planes 2x + y − z = 1…

A: Given: The planes: 2x+y-z=1 and x-y+z=2.

Q: Find the shortest distance, d, from the point (10, 0, –6) to the plane x + y + z = 6. d =

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Q: Find the minimum distance from the point to the surface z = V7 - 2x – 2y. (Hint: To simplify the…

A: We need to find the minimum distance from the point A (-2,-2,0) to the surface z = 7-2x-2y…

Q: Find the shortest distance from the point (4,2) to the curve x^2 Зу^2 %3D 12 +

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Q: 3. Find the shortest distance from the origin to the plane x – 2y – 2z = 3. |-

A: Here I am attaching image so that you understand each and every step.

Q: Find a formula for the shortest distance from a point (a,b,c) to the y-axis.

A: We will find the formula as following.

Q: (A) Find the unique point P on the y-axis which is on both planes. (–, ,

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

Q: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: An ant wants to get from B point A to point B in the 3 m rectangular room in the figure. Find the…

A: the given figure is: an ant wants to get from point A to point B in the rectangular room in the…

Q: Find the length of the curve x = et - t, y = 4et/2, -8 ≤ t ≤ 3.

A: Consider the following: Given parametric equations are: x=et−ty=4et2−8≤t≤3

Q: 2. Find the shortest distance from the point (2,0) to the curve: (a) y = 3x – 1 (b) y = x^2 (c) x^2…

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