The Line whose edualion is (X + *y +Z=!) > (x -y +2Z+7 =0) intersecks the parametric Rind the X z plane. write equation of the line the then infersection point.

Q: The surface z=f(x,y) intersects the plane x-2 along the curve C which has equation of dy Find at the…

A: Given Data: The equation of the curve is: z=13y3-y2 The point at which derivative is required is: x,…

Q: Find an equation of the tangent plane to the given surface at the specified point. z = ex2 - y2,…

A: The equation of tangent plane to the surface z=f(x,y) at the point x0,y0,z0 is given by…

Q: = 21 which is parallel to the plane Find the equation of tangent plane to the surface x? + 2y? + 3z2…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

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Q: Midpoint formula Prove that the midpoint of the line segment joining P(x1. y1- Z,) and Q(x,. Y2, Z,)…

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Q: Find a line that intersects the plane x+y+z=4 at only one point

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Q: DEind surface acea of the fallsuing A) lateral side of the cone generated y rving the line segient…

A: (a) Given that:  3y=x, 0≤x≤4 It can be written as y=x3, 0≤x≤4 Definition of surface area about…

Q: Q1: Find the parametric rquations of the line that passes through the point P(4,2,-3) and Q(-3,2,2).…

A: We will solve the following

Q: Find the distance of a point (1, 2, 3) to the line L: x = 3 + 9t, y = -2 + It , z = 7t. Give your…

A: Find the distance of point to the line L.

Q: 3) Suppose plane P, contains the points A(5,0, –1), B(2,3, 2), and C(-2, 1, –4), and assume P, is…

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Q: Find the equation of the tangent plane and the normal line to the given surface at the specified…

A: To use the partial derivatives to obtain the equation of the tangent plance

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

A: Explanation of the answer is as follows

Q: Find the distance from the point Q to the plane p. Q= (2, 2, 2), P with equation x + y - z = 0

A: Given equation of plane is x+y-z=0 and given point is Q(2, 2, 2).

Q: Q1: Find the parametric rquations of the line that passes through the point P(4,2,-3) and Q(-3,2,2).…

A: Here we have to find the parametric equation of the line that passes through the point P(4,2,-3) and…

Q: Find equations for all the planes that intersect the y-axis at y =1 and the z-axis at z =2, and are…

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Q: Find all points of horizontal and vertical tangency to the curve: x = 3cos 0 y = 3sine

A: for Horizontal tangent put dydθ=0 for the vertical tangent put dxdθ=0

Q: A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50…

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Q: Calculate the distance between the points L= (-9, 8) and J=(-1, 1) in the coordinate plane. %3D Give…

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Q: Solve the problem. Find the equation for the tangent plane to the surface x2 + 10xvz + y = -8z2 at…

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Q: equantion for the tongent plane to the quadratic Z =4x² +y" at the point (4,4,5). Find an surface

A: we have to find the equation for the tangent plane

Q: An equation of the tangent plane to the surface y = 3 x-z at the point (-2,8, 2) is: %3D (A) 12…

A: y = 3x2 -z2 at the point (-2,8,2)f(x,y,z) = 3x2 - z2 -y∂f∂x = 6x, ∂f∂y = -1, ∂f∂z = -2zat point…

Q: 2. The slope of the surface = ry² in the r-direction at the point (2,3) is. slope of this surface in…

A: The slope of the surface z=fx, y in the x-direction at the point is denoted by the value of partial…

Q: Find the area of the surface generated by revolving the curve y = / 2x - x , 0.75<x<1.75, about the…

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Q: Consider a right triangle whose sides are under the coordinate axes and the hypotenuse under the…

A: Tangent line and maximization area

Q: etermine the equation of the plane tangent to the surface x2 + y² – z² = –1 at the point , 1, v3).

A: To find The equation of the plane tangent to the surface at the given point.

Q: Find the tangent plane to the equation z = 3x? – – 60) - y² – 4y at the point (4, 2, - -

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Q: Determine the equation of the tangent and normal to : 1. The parabola y² = 6x - 3 perpendicular line…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-9,0,…

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Q: 3. Find an equation the plane curve about the inc

A: INTRODUCTION: In mathematics, functions are the most fundamental aspect of calculus. Functions are…

Q: Find parametric equations for the line described below. The line through the point P(7, -4, 0) and…

A: NOTE: Refresh your page if you can't see any equations. . the given plane is  the normal vector is…

Q: 17. projection of the line Find the equation of the 3x-y + 2z-1=0 = x +2y-z-2 on the plane 3x +2y +…

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Q: Tangent to the parabola z = x2 + 3y2 , x = 1 , at point ( 1 , 2, 13 )

A: Given: Tangent to the parabola z = x2 + 3y2 , x = 1 . at point (1,2,13)

Q: writing a parameterization for the curves in the xy-plane. The line through the points (−3,−1) and…

A: Given 1. Line passing through -3, -1 and 4, 5 2. Circle of radius 4, centered at -2, 4 traced out…

Q: The surface given by z = x² – y? is cut by the plane given by y the point (1, 3, –8). 3x, producing…

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Q: The Line whose eduation is (X + 2y +Z=!) > Cx -y + 2Z +7 =0) intersecks X Z plane. write equation of…

A: The line represented by the equation x+2y+z=1 and x-y+2z+7=0 intersects the XZ plane.

Q: Parameterize the curve of intersection of the surfaces so that the direction is clockwise when…

A: Note: According to our guidelines We’ll answer one of the question since the exact one wasn’t…

Q: Find the equation of the tangent plane and the normal line to the given surface at the specified…

A: Given: -

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (- 5,…

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Q: Find the intersection of the two planes with equations 3(x – 1) + 2y + (z + 1) = 0 and (x – 1) + 8y…

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Q: Find the coordinates of the point. The point is located nine units in front of the yz-plane, eight…

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Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: Given: Surfaces x+y2+2z=8, x=3 and a point 3,1,2 To Find the Parametric equation of a tangent line.…

Q: Find the plane determined by the intersecting lines. y = 2+t L1 x= - 1+t z= 1- 2t L2 x= 1-4s y = 1+…

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Q: Determine the points of intersection of the line with parametric equations L: x= 2t + 7 , y= 3t - 1,…

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Q: Find parametric equations and a parameter interval for the motion of a particle that starts at the…

A: Given that the motion of a particle that starts at the point (-2, 0) in the xy-plane and traces the…

Q: (b) Find the points in which the required line in part (a) intersects the coordinate planes. point…

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Q: A variable straight line of slope 4 intersects the hyperbola xy = 1 at two points. The locus of the…

A: Introduction :

Q: 3x=y3 is the surface Curve what Jrea of the obyect famed by rotating the part between the lines…

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Q: BThe distance from the point (-1, -2, 3) to the plane 2z = - 4x + 5 is [b] (input exact value in…

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Q: Parameterize the line from (3,0) to (-2,-5) so that the line is at (3,0) at t=0 and at (-2,-5) at…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.