x(t) Convert the line given by the parametric equations { y(t) = z(t) -1- 3t 5 – 5t to symmetric equations. 3 + 3t Enter the symmetric equations in alphabetic order. II II
Q: Find parametric equations for the line through (-1,2) and (4, -8). Select all that apply. OA. x =…
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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: Q/ Find the parametric equation for the line through the point (0, 1, 2) that is perpendicular to…
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Q: 2. Find the parametric equations of the line passing through the point (-1,4, –3) and is parallel to…
A: Given information is as below: r0=(-1,4-3)v=5i-j=(5,-1,0)
Q: 3. Find a set of parametric equations for the line of the intersection of the planes 3x-3y-7z -4 and…
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Q: Find the parametric equation of the line that passes through P(-2, 0, 3) and is parallel to the line…
A: Given that: Equation of line is: x=-1+3t, y=2-2t, z=3+t and the point is : P(-2, 0, 3)
Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x-1)² + ² x²…
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Q: 4
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Q: Q3/ Find the real number such that the line of parametric equations x = t, y = 2 - t, z= 3+t, is ax…
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Q: 8. Find the positive constant a(> 0) so that the parametric equation: x = at, y = -t? is a solution…
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Q: 2. Find the parametric equations of the line passing through the point (-1,4, -3) and is parallel to…
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Q: What does the graph of the parametric equations x (t) = 2-t and y(t) = (t + 3)², where t is on the…
A: Given parametric equation:x(t)=2-ty(t)=(t+3)2 where t is on the interval [-4, 0]
Q: Find a parametric equations representation for the curve (x + 3) 2 . (y – 2)² 1 4
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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…
A: Note that, the parametric equation of a line through the points x0,y0,z0 and parallel to the vector…
Q: 22 a) Drive the parametric equation of straight line Ched the f
A: We will answer the first question as you didn't mention any. Please resubmit the other question…
Q: Find the 1st and 2nd Derivate of y with respect to x from parametric equations. Complete solution…
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Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4…
A: This is the problem from the vector algebra and 3D geometry.
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: find a parametric equation for the line that is perpendicularto the graph of the given equation at…
A: We have to find parametric equation for the line that is perpendicular to the graph of the given…
Q: 5. Find the distance from the point (3, 0, 10) to the plane 2x+3y+ z = 2. 6. Write the parametric…
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Q: Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric…
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Q: 5. Find the parametric equation of the line passing in R³ passing through the points (3, 1,0) and…
A: Directly use the formula for the parametric equation in R3
Q: L0. Find parametric equation of the line perpendicular to the lines 11: x = 1-1, y=t, z= 2t -1 and…
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Q: 4) Find the critical points of the parametric equations x = t* – 1 y = t3 -t
A: Topic:- application of derivatives
Q: 1. Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the…
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Q: 5. Find the parametric equations of a line through (1, 0, -1) and parallel to the line -(x-4) 1 y =…
A: Consider the given equation of the line. Converting it into the standard form and taking the…
Q: 2 Make a graph of the parametric equations x(t) = t - 3 on the interval 0sts 4 y(t) = ) = t ³ - 5 t
A: Given parametric equations X(t) = t2-3 Y(t) =t3-5t
Q: 8) Find the parametric equation of the Line passes through p (2 -4,5) parallel 19to 3x+y-97 =5 and…
A: This question can be solved using the concepts: general equation of a line condition of line and…
Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 2x + 4y +…
A: Equation of line normal to graph of functions f(x) is : r<t> = <x0,y0,z0> +…
Q: 4. Find the parametric equation of the line through (1, 0, -2) and parallel to the line % (x – 4) =…
A: This is the answer of question no. 4.
Q: What are the parametric equations of x - 2y + 3z - 1 = 0?
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Q: x=t3/3 y=t2/2 0<t<1 resolve the parametric equation
A: Given that , x=t3/3 y=t2/2 0<t<1 Resolve the given parametric equation.
Q: Find parametric equations for the line pass- ng through the point P(1, –1, 3) and perpen- licular to…
A: Given that: Line is passing through P(1,-1,3) and perpendicular to the plane: 4x+3y-2z=6.
Q: find a parametric equation for the line that is perpendicular to the graph of the given equation at…
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Q: find a parametric equation for the line that is perpendicularto the graph of the given equation at…
A: Given: x2+y2=25; -3,4 for finding equation of line that is perpendicular to given curve at given…
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. Find the parametric equation of the line through (1, 0, -2) and parallel to the line (x-4) = 2…
A: The solution is given below in the next step:
Q: 8. Solve for the critical points of the parametric equations x = t3 – 1,y = t² +t %3D
A: The answer is found in step-2.
Q: Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric…
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Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x+2y…
A: Let F(x,y,z) define a surface that is differentiable at a point (x0,y0,z0), then the normal line to…
Q: 6. Find the distance between the point (- 3, 2, 1) and the line with parametric equations x = 3 –…
A: Consider a point on the line (3-2t, 1-t, -3t) which is the foot of the perpendicular to the point…
Q: 2. Find a set of parametric equations for a particle that oscillates on the line y = 6x – 5 between…
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Q: 10 + x 2 4 6 8 10 -10 -8 -6 -4 -2 -2 -6 -8 -10+ The curve above is defined by which of the following…
A: we will initially find the vertex of the parabola and then find the equation of parabola then…
Q: Find the parametric equations of the line L2 that passes through the point P(-9, 1, -6) and is…
A: Given that the line L2 passes through the point -9,1,-6 and is parallel to the line given parametric…
Q: 2. Find the parametric equations of the line through (0, 3) that is parallel to the line x= -5 + t y…
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Q: Q. Find parametric equation of the line perpendicular to the lines l1: x = 1- 1, y=t, 12 : z = 2t –1…
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Q: (3) Find parametric equations for the line of intersection of the planes. x + y - z = 2 and y + z =…
A: Given equation of the planes are x+y-z=2 y+z=0 we rewrite them as x+y-z-2=0, and 0x+y+z=0…
Q: Find the First and Second Derivate of y with respect to x from parametric equations. Clear Solution.…
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Q: 277. Find parametric equations of the line passing through point P(-2, 1, 3) that is perpendicular…
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Q: Find the parametric equation of the line through (1, 0, -2) and parallel to the line % (x – 4) = ½…
A: according to our guideline we are supposed to answer only the first question if you want any…
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- Take the parametric equations x/12 = y/4 = z/9 and x-12/-10 = y-4/-4 = z-9/-7 find the scalar equation of the lines in the form of ax+by+cz+d=04. Find the parametric equation of the line through (1, 0, -2) and parallel to the line ⅓ (x – 4) = ½ (y) = z + 2.Q4: Find parametric equations for the line through (7,2,-4) parallel to the z-axis. Let z=-4+t. x___, y____, z_____, −∞<t<∞ (Type expressions using t as the variable.)
- Find a parametric representation of the solution set of the linear equation.x + y + z = 12. Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the parametric form of the equation of the line and solve each planar equation for z.1) A hiker in the woods travels along the path described by the parametric equations X = 80 − 0.7T Y= 0.3T A bear leaves another area of the woods to the west and travels along the path a) b) X= 0.2TY= 20 + 0.7T Do the paths of the hiker and bear cross? Do the hiker and bear collide?
- Find a parametric equation of a line that passes through the point (1,3,-4) and is perpendicular to the plane -2x+y-5z=1 a) x=-2+t, y=1+3t, z=4+5t b) x=1-2t, y=3+t, z=-4-5t c) -2(x-1)+(y-3)-5(z+4)=0 d) (x+2)+3(y-1)-4(z+5)=0Clear Solution for this Finds the 1st and 2nd Derivates of this y with respect to x from parametric equations. x=t3-1 ; y=t2+tQ1) (a) Find the parametric equations of the line L that passes through (3, −2, 1) and is perpendicular to the plane 7x − 5y + 2z = 11. (b) Determine whether A = (1, 0, 2) is on the line L you found in part (a). Solve this question
- Find a parametric equation for the path of a particle that moves halfway around the circle (x^2)+(y-1)^2 = 9 counterclockwise, if the particle starts at (0,4). Let x and y be in terms of t for t between 0 and pi.A lizard moves through the plane with its position at t seconds given by the parametric equations x=3cos(2pi t)+2, y= -6cos(2pi t)+1. The lizard begins moving at t=0 seconds. a. How long does it take for the lizard to return to its starting position for the first time? b. how far does it go in 4 seconds?a) Find the parametric equations for the line in which the planes x-2y+4z=2 and x + 2y - 2z = 6 intersect. b) Find the parametric equations for the line which passes the point P (-1,0,3) and perpendicular to the plane 3x-7y+5z=21