Convert the line determined by the symmetric equations x – 5 y +1 z 3 to parametric form. a(t) y(t) z(t) =
Q: 2 7 Find the projection of v = -1 onto the line tlof R'Igiven by the parametric equation e = tul…
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Q: 4) Find the critical points of the parametric equations x = t* - 1 y = t3 - t
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Q: 4. If y = tx, where t is the parameter, what are the parametric equations of the curve x' +y° = 4xy?…
A: The solution is given as
Q: 2. In the parametric equation, x = 2t, y = 3t 1, fill the table below. t 0 1 2 3 4 5 X x = 2t y y =…
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Q: The parametric form of 3x - 2y + 10 = 0 is: O x = 2t y = 5 + 3t O x = t y = 5 + t O x = 3t y = 5 +…
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Q: Find a parametric representation of the solution set of the linear equation.2x − 4y = 0
A: To find the parametric representation of the solution set, solve the given equation for the value of…
Q: 1. a) Find parametric equations of the line of intersection of the planes 3x- 2y+z=0 and…
A: Given : equation of a plane, 3x-2y+z=08x+2y+z-11=0
Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…
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Q: 8. Find a parametric representation of the line through the point P(1,0,4) and perpendicular to the…
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Q: 6. Find the parametric equations of the line along which the following planes intersect. t: x +y +…
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Q: 17. Find the cartesian equation of the parametric curvex =1+e²*, y= e'. (a) z² = y? – 1 (b) 7 = x² –…
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Q: Find parametric equations of the line through (-1, –1, 6) that is parallel to 2i – 4j+k. x(t) = y(t)…
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Q: ELIMINATE THE PARAMETER IN THE PARAMETRIC EQUATIONS: x=t +1 Y = t t-1
A: Topic - equations
Q: Find a rectangular equation for the plane curve defined by the parametric equations. x = t + 4, y =…
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Q: Find the real number a such that the line of parametric equations x = t, y = 2 – t, z = 3 + t, te R…
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Q: Find the First and Second Derivate of y with respect to x from parametric equations. a). x=(t-2)5/2…
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Q: 2. Find the point(s) of intersection of the following two parametric curves, by first eliminating…
A: From x=t+5 we get t=x-5 Then we plug this in the y=t2 So, the equation is: y=(x-5)2 We can plug…
Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1…
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Q: Find parametric equations for the line through the points P(-1,- 1, -4) and Q(-4,-7,7). O A. x-t-3 y…
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Q: Consider the graph of r(t) = 2t^2i + t^2j + t^3 k Determine parametric equations of the tangent line…
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Q: Find the equation of the line tangent to the graph defined by the parametric equations 3 x =t2 – 6…
A: First evaluate the point of contact by substituting 4 for t in the given functions x and y. x=432-6…
Q: Find a parametric representation of the solution set of the linear equation.x + y + z = 1
A: Consider the given linear equation x + y + z = 1 We have one equation and three unknown(x, y, z).…
Q: The parametric equation of the segment [AB] with A(1,0,5) and B(3,1,2) is: O x-1+3t y=t z35+2t -<…
A: Two points A and B are given we have to find the parametric equation of the line segment AB. A line…
Q: 4) Find the critical points of the parametric equations x = t* – 1 y = t3 -t
A: Topic:- application of derivatives
Q: s) Find the parametric equations of the line that is perpendicular to the plane 2x +y+3z = 4 through…
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Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…
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Q: . Find a cartesian equation for the given parametric equations: a) x = t2 – 4 and y =t+1 b) x = 2…
A: Eliminating t
Q: In three space, find the parametric equations of the curve C of intersection of the cylinder S: x2 +…
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Q: A cartesian equation of the parametric curve x = 6t + 11E - 10, y = E is O A No solution OB.…
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Q: In three space, find the parametric equations of the curve C of intersection of the cylinder S: æ? +…
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Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…
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Q: Which of the following is Parametric equations for the line passing through the origin and A(1, 0,…
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Q: Find the dy/dx of the parametric equations given: x= 2t² – t and y= t³ – 2t – 1
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Q: Eliminate the parameter, t, in the parametric equations, x = 6cost and y = 3sint. 2 x2 + y2 = 36 x2…
A: We have to eliminate the parameter, t, in the parametric equations, x = 6cost and y = 3sint.
Q: 4. Solve for the critical points of the given parametric equation: x = t³ – 1; y = t² + t
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Q: Find the scalar equation for the plane passing through the point P-(0,-3, 2) and containing the line…
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Q: ) Suppose that the parametric equations x = 1, y = r', 12 0, model the position of a moving object…
A: Given
Q: Solve for the critical points of the parametric equations x = t3 -1, y = t2+t
A: To find the critical points
Q: 1. Consider the graph of r(t) = 2t i+ tj +t° k Determine parametric equations of the tangent line to…
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Q: Find the parametric equation for the line where the planes 4x – 6y + 8z = - 36 and – 6y + z = – 15…
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Q: A cartesian equation of the parametric curve x= 12t + 13 /t – 14, y = vt is OA. X = [ 3y – 2 [ 4y +…
A: We have to find the cartesian equation of the given parametric curve.
Q: Find a set of parametric equations for the curve of intersection of a paraboloid x² + (y − 2)² = z…
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Q: -10 -8 -6 -4 4 6 8 10 -10- Which of the following sets of parametric equations correctly represents…
A: Given: The curve as To determine: Parametric equation of given curve.
Q: B Find the parametric equation of the plane passes through the point (-3,0,7) and perpendicular to…
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Q: A cartesian equation of the parametric curve x = 12t + 11 E - 5, y = JE is OAx = (3y – 1 ( 4y +. =…
A: x=12t+11t-5and y=tput value of t=y in x
Q: Determine dæ dy and of the parametric equations dy dæ? 1. x (t) = t2 – 4t and y (t) = 2t³ – 6t - -
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Q: 38. Let r(t) = (1³ -1- 2)i + 4r* j. %3D (b) Find parametric equations for the tangent line to the…
A: Topic = Vector
Q: 6. Find the projection of u = -7 onto the -2 line e of R given by the parametric equation l = tũ, -1…
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Q: 17. If y = tx, where t is the parameter, what are the parametric equations of the curve x' + y' = 8?…
A: solution:-y=txx3+y3=8x3+tx3=8x31+t3=8x3=81+t3x=21+t33
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- Find the set of symmetric and parametric equations of the line passing through the point P(3, 4, 1) that is parallel to the plane 3x−2y −z −4 = 0 and perpendicular to the line 2x = −y/2 = −3z.Find an equation of the plane in standard form (ax + by + cz = d) that passes through the point (4, 0, −2) and contains the line given parametrically by x = 2 − 7t, y = 6 + 5t, z = 4 + 8t.Find the parametric equations for the line through the point(0, 1, 2) that is perpendicular to the line x = 1 + t, y = 1 − t, z = 2t, and intersects this line.
- Find parametric equations for the normal line to the surface z=-7x2 -9y2 at the point (2,1,-37)Find the general equation of the plane through the point (1, 1, 1) that is perpendicular to the line with parametric equations x = 2 - t y= 3 + 2t z= -1+ tSuppose a line is given parametrically by the equation L(t)=(1-t, t-4, 1-t) then the vector u and point Po that were used to define this line are = ?