Find the distance from P(5,3) to -5æ – 2y + 9 = 0

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: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Find the max. and min. values of (x, y) = x² – xy + y on the quarter circle x² +y =1 where x.y20.

A: I use langrange multiplier method

Q: find the coordinate of point x such that the ratio of MX to XJ is 2:3

A: Let Position vector of point M and J be m→ and j→, respectively. Point X divides segment MJ into the…

Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: Find the length of arc of the curve 9y^2=4x^3 from the origin to the point (3,2 squareroot of 3)

A: The arc length of a curve y=f(x) from x=a to x=b is defined by the integral L=∫ab1+dydx2dx.

Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

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Q: Use the above formula to find the distance from the point to the given line. (5, 3, -3); x = 1 + t,…

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Q: What is the distance from P(2,4) to 2x-3y+1=0?

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Q: Find the point (xo, yo) on the line 4x + 9y = 12 that is closest to theong1n.

A: Given: 4x+9y=12 Let the distance between the point (x0, y0) and origin be D As it is given that the…

Q: Find the coordinates of the missing endpoint given that P is the midpoint of NQ. N12, 0), P15, 2)

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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 point on the line 3x – 4y –1 = 0 which are at a distance of 5 units from the point (3,2)

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Q: Find the angle between the curves 4. у%3Dх and у%3х° +х-8

A: First find the intersection point of the curve then calculate slope of tangents of both the curve at…

Q: Find the distance d between the following pair of points. (-1, –3), (-9, 6) d =

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Q: Find the midpoint of these two points (4, 6) and (7, 10) Use the formulas: x = (x1 + x2)/2 %3D y (yi…

A: Consider the points, 4,6      and         7,10 The midpoints of two points is given by the formula,…

Q: find the distance d between the points P1 and P2, P1 = (a, b); P2 = (0, 0)

A: we have to find the distance d between the points P1 and P2 where P1=a,b and P2=0,0

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 formulas for the distances between (0, 0) and (a, a2 ), a > 0, along the line between these…

A: Derivative of a function is determined as the change of variable with respect to change in another…

Q: Find the points on the line 3x – 4y – 1 = 0 which are at a distance of 5 units from the point (3,…

A: Solving the problem by finding the points.

Q: find the distance d between the points P1 and P2.

A: We know, By distance formula, distance d between two points (a,b) and (c,k) is given by:…

Q: Find the acute angle between the planes x = 7 and x + y + sqrt(2)z =-3.

A: We know that cosine of angle between plane a1x+b1y+c1z=d1 and a2x+b2y+c2z=d2 is given by

Q: find the distance d between the points P1 and P2. P1 = (1.2, 2.3); P2 = ( - 0.3, 1.1)

A: The question is taken from the Analytical Geometry in which we have to find the distance between the…

Q: Given H(jw) -(4+jw) 6+5jw-w² an rewrite as:- (jw+4) -+₁) 6+ (jw)² + 5jw (jw+ 4) (jw+3) (jw+2) (jw+3)…

A: Topic:- application of calculus

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: B 12 15 2x + 1.5 For what value of x will segment DE be parallel to segment BC?

A: Given, ∆ABC  AD = 6 ;  DB = 12  AE = 2x +1.5  ;  CE = 15   We have to find the value of x ; such…

Q: Cannot solve

A: We have given u = (4, 5) and v = (5, -2)

Q: Find the length of the curve y=x^3/2 from (1,1) to (2,2squareroot2)

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Q: Find the length of the curve r = 02 from 0 = 0 to 0 = 14.

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Q: Find the length of one branch of the curve ay? = x3 from x = 0 and x = 5a. 4.

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Q: find the distance d between the points P1 and P2, P1 = (a, a); P2 = (0, 0)

A: Since, we know that the distance between two points A and B havingcoordinates (x1,y1) and (x2,y2) is…

Q: Find the distance from P1 to P2.

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Q: Find the distance between the following two points: (0, -1) and (2, 0) O 2 O V5 O V13

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Q: Find the distance between the two given points. S (-1, 6) and T (-1, 14)

A: We know that distance between two point (x1,y1) and (x2,y2) is  (x2-x1)2+(y2-y1)2 Therefore distance…

Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

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Q: The distance from a point P₁(x1, y₁) to the line ax + by + c = 0 is lax₁ + by₁ + cl √² + b² Use this…

A: SOLUTION-

Q: find the distance between 4y+3x=4 and (0,5)

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Q: I. Find I = ždz where C is the line segment from 3 +i to 3 - 2i.

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Q: Find the acute angle between the lines 7x - 4y = 0 and 3x - 11y + 5 = 0.

A: This question is based on straight line.

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: on the line ye -2x +8 that 1-) Find the point IS Close't to the onigin.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the length of the curve. y= x? + from x = 1 to x = 5

A: Please refer the attached image for complete solution. THANK YOU.

Q: Let Q = 4x? + 6xy+ 4y². The points on the curve Q = 7 which are closest to the origin are:

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Q: find the angle between the planes Sメ4y-21。メーマy ト

A: Given the equation of two planes 5x+y−z=10x−2y+3z=−1

Q: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

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Q: Q6/ find the acute angles between the planes to the nearest hundvedthad Vadian 4y+32 =-12, 3X…

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