Find the rectangular coordinates (+. 풍) (x, y) = ( Y

Q: The coordinate axes divide the xy-plane into four sectionscalled________?

A: The coordinate plane looks as below:

Q: Find the acute angle between the curves y = (/3)x3, and y = (/3)/5 x at the point of intersection…

A: The given curves are y=3 x3 and y=35x=15x and the point of intersection of the two curves are P1, 3.…

Q: Suppose XY has coordinates X( -2, 5) and Y(3, -9). What are the coordinates for the midpoint of XY?

A: To find the Midpoint of the line.

Q: Calculate the distance from the point (4,−2,7) to the plane x−3y+5z=−8.

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Q: What is the angle between the curves y = x2 and y = x4 at their point of intersection?

A: We have find the angle between the curves y = x2 and y = x4 at their point of intersection we have,…

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

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Q: Find an equation for the set of points equidistant from the xy-plane and the yz-plane.

A: Find an equation for the set of points equidistant from the xy-plane and the yz-plane.

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 distance from the point (−3,0,2) to the plane - 3x + y + 5z = 0

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Q: Find the distance from the point (3, -4, 2) to thea. xy-plane b. yz-plane c. xz-plane

A: The 3D view of the point is as below

Q: Calculate the distance from point s(10, -8, 10) to the plane 2x + 2y + z = 4 O 10 O 10 의 ~m 의 29

A: Given query is to find the distance between the plane and point. The given point is S(10, -8, 10)…

Q: Find the coordinates of the point located in the xy-plane, five units to the right of the xz-plane,…

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Q: find the distance from the point to the plane. (0, -1, 0), 2x + y + 2z = 4

A: Concept: The two expressions connected by equal to be called an equation. The expression on the two…

Q: Calculate the distance between the points P = (-7, 2) and M= (1, –1) in the coordinate plane. Give…

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Q: Eliminate the parameter from x = 2sint, y=4cost

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Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0. %3D

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Q: Find the distance from the point (−5,2,−3) to the (a) xy-plane (b) xz-plane (c) yz-plane (d) x-axis…

A: We know that distanced of xy-plane from the pointx0,y0,z0 is given by d=z0…

Q: Find the rectangular coordinates of the point P-). x-coordinate of P y coordinate of P(- )- 3

A:

Q: find the distance from the point to the plane. (1, 0, -1), -4x + y + z = 4

A: Concept -Let the equation of plane be -Ax+By+Cz+D = 0And the coordinates of a point be - (x1, y1,…

Q: the coordinate plane be

A:

Q: Eliminate the parameter to obtain an equation in x and y: x=-2cos2t, y=-2sin2t

A: x=-2cos2t y=-2sin2t using trigonometric property,               sin2t+cos2t=1

Q: 0 = % 3P= 13

A: Given : θ=π3, ρ=13 We know that  θ=tan-1yxtanθ=yxtanπ3=yx3=yxy=3x

Q: An airplane is traveling in the direction 30° west of north at 700 km/hr. Find the component form of…

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

A: Given query is to find the Indicated point .

Q: Find the acute angles between the intersecting lines x = t, y = 2t, z = -t and x = 1 - t, y = 5 + t,…

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Q: Find the angle between the curve 2y=e-x/2 and y-axis

A: we will see in next step

Q: Draw a diagram showing two perpendicular lines that intersecton the -axis and are both tangent to…

A: The given parabola equation , y=x2. To draw two perpendicular lines that intersect on the axis and…

Q: Find the distance between the point (3, 1, −2) and the plane x + 2y − 2z = 4.

A: Given,             Point  (3, 1, −2)          Plane   x + 2y − 2z = 4

Q: & क

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Q: Find the tangent plane to the equation z = 3x2 + 4y? – y at the point (3,5,68)

A: We have to find the tangent plane equation to the given surface at a given point.

Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: How close does the semicircle y = V16 – x² come to the point (1, v5)? |

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Q: Calculate the distance between the points M=(-9,8) and L=(-1, 1) in the coordinate plane. Give an…

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Q: Find the distance between the point (3,11,-2) and the plane X t 2y

A: Explanation of the answer is as follows

Q: Find the curve length 1 +2)?,0< y < 4 %3D 3

A: Given that, the function is x=13y2+232 and the interval is 0,4. Note that, the arc length of the…

Q: Find the acute angle (in degrees) between the planes 5x + y + 4z = O and a y + 2z = – 3.

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

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Q: How to use the trapezoidal rule to approximate distance travel?

A: The trapezoidal rule is used to estimate the area under the curve. The expression for the…

Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

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: Determine the length of the latus rectum of the curve y² = 8x

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Q: In the standard (x,y) plane, what is the distance between (3, 4) and (6, 2)?

A:

Q: Find the distance from the point (3, -4, 2) to the xy-plane

A: Given: 3,-4,2

Q: Evaluate the length of the curve y = 2 + Vx , 3 < y< 4

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Q: Find the angle of intersection between the curves y = x- +1 and y = x+x-

A: y = x2 + 1,y = x+ x-1Points of Intersection;x2 + 1 = x+1xx(x2+1) =(x2+1)x = 1y = 2point of…

Q: Find the tangent plane to the equation z = 5a° + æy? + 2 at the point (2, – 4, - 6)

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Q: Find an equation of the plane tangent and an equation of the line normal to the surface 7z = 4x² -…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find the distance from the point to the plane. (3, 0, 10), 2.x + 3y + z = 2

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Q: Find an equation for the plane tangent to the surface 9x² +4y² +9z² = 34 at the point (1,2,-1).

A: This is a problem of geometry. We will calculate slope of x, y and z at given point and general…

Q: ) Find an equation of the tangent plane to the paraboloid defined by -- 4x² + 5y² at the point (,-2,…

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