Find the distance from the point (4, 3, 0) to the y-axis

Q: Find the abscissa of the point on the graph of y=V 2x – 1 that is parallel to the line 2x - y+1=0

A:

Q: Determine the angle between the curves 2x=y2 and x2+y2-5x=0

A:

Q: Find the length of the curve. x = y^2/3, 1 … y … 8

A:

Q: Find the point(s) on x=3-y² that are closest the point A=(1,0)

A: Our Aim is to find the points on x=3-y2 that are closest the point A=(1,0).

Q: Find the point on the line x /a + y/ b = 1 that is closest to the origin.

A:

Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: Find the length of the curve y = 3/2 from a = 0 to a = 3.

A: Given curve is y=43x32   Length of the curve is L=∫ab1+dydx2      ......1 Here given a=0 and b=3 and…

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

A:

Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

A:

Q: Find the coordinates of the midpoint of HX 1 ,-3 2' X 2

A:

Q: Find an equation for the set of points equidistant from the a. xy-plane and yz-plane. b. x-axis and…

A: a) Let (x,y,z) be such point that xy-plane and yz-plane are equidistant from it.Distance of (x,y,z)…

Q: Find the length of the curve y = x2, 0 ≤ x≤√3/2.

A:

Q: Find the exact length of the curve. y = 5 + 8x3/2, osxs1

A: Given: y=5+8x32,   0≤x≤1

Q: Find the distance from the point (1, 2, 0) to the line æ = 3t, y= 1, z= 2 – t.

A:

Q: Find the point on the Curve y rx that is closest to the point (2,0)

A:

Q: Find the distance from the point to the given line. (0, 1, 2); x= 2t, y = 5 – 3t, z = 2 + t %3D

A:

Q: he circle is tangent to the y-axis and the center is at (-2,-8).

A:

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0< x < 1

A: Given: y=fx=5+2x32, 0≤x≤1 we know that lengthL of curve in interval a,b is given by L=∫ab1+f'x2dx…

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: Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).

A:

Q: find all points on the y-axis that are a distance of 6 from the point (3,-1)

A: Let the point is (0,y).

Q: Find the point on the line y = 3x + 5 that is closest to the origim %3D (x, y) = %3D

A: We have to solve

Q: Find the length of the curve.  y = (9 - x^2/3)^3/2 from x = 1 to x = 27

A:

Q: Find the point on the x-axis that is equidistant from the points (0,−1) and (5,−3)

A: To find the coordinates of the point satisfying the given conditions

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

A:

Q: Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, Z = 2 + t.

A:

Q: Find the distance between the points of intersection of the graphs y = x² + 2 and y = 11. %3D

A: Given y = x2+2y = 11

Q: Find the distance from the point (4, 3, 0) to thea. x-axis b. y-axis c. z-axis

A: It is given that, the point 4,3,0.We have to find the distance from the given  point to the a…

Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: Find the length of the curve y=7x-13 between y=-6 and y=15.

A:

Q: Find the point on the curve y = √x closest to the point (2,2)

A: Here we have to find the point on the curve y = sqrt (x) closest to the point (2, 2)   use the…

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 exact length of the curve. y = 3 + 8x3/2, 0<x<1

A:

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D

A:

Q: Find the point on the graph y=Vx+1 that is closest to the point (2, 1).

A:

Q: Find the length of the curve. y = In(secx), 0Sx</4

A:

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

A:

Q: Find the points on the line 2x+y=5that is the closest to the origin.

A:

Q: Find the midpoint of the line segment joining the points P1 and P2 . Equation: y3 = x + 1Points: (1,…

A: Given y3=x+1 Points: (1, 2); (0, 1); ( - 1, 0)

Q: Find the distance, to the nearest hundredth, between the given points. P1(9, 3) and P2(11, 1) Find…

A:

Q: Find an equation for the set of points equidistant from the y-axis and the plane z = 6.

A: we  have to find an  equation for the set of points equidistant from the y-axis and the plane z =…

Q: find the distance from the point to the line (2, 2, 0); x = -t, y = t, z = -1 + t

A: Given information: The point to the line is (2, 2, 0) and x = -t, y = t, z = -1 + t. Calculation:…

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 the angles at which the curve y=x3−x intersects the x-axis.

A: The angle at which curve intersect the x axis is determined by the angle of slope of tangent to the…

Q: Find the length of the curve y = x2, 0 &lt;=x &lt;=sqrt(3)/2.

A: Given information:

Q: Evaluate the length of the curve y = 3 + 3Vx +1 , 0<x< 3

A:

Q: Find the coordinates of the points that are 15 units away from the origin and have a y-coordinate…

A: Given y- coordinate = -12

Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2+ 5t, z = 3+ 3t.

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.