A particle moves along a straight line and its position is given by $ (t) = 1 3 – 6 t² + 9t + 5_ At what time will it change its direction? A 2 and 3 seconds B) 2 and 6 seconds (C) 1 and 2 seconds (D 1 and 3 seconds

Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

A:

Q: Find a set of parametric equations of the line with the given characteristics.

A:

Q: 2. Passes through (3, 5) and (-1, 5) 3 4. Perpendicular to the line y=--x-7 2 and passes through…

A: Given points (3,5) and (-1,5) Therefore slope m = (y2-y1)/(x2-x1) m = (5-5)/(-1-3) = 0 Therefore…

Q: Find the equation of a straight line passing through the point (2,3) and making non-zero intercepts…

A:

Q: 2) through: (-1, 5), parallel to y=-9x – 5 4) through: (-3, 4), parallel to y=-- 4 +3 3

A:

Q: :Find the equation of the plane through (-1 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A:

Q: The line through (1,-3, 4) that is parallel to the line x- 3 + 4r,y= 5-1,2 = 7

A:

Q: Find a set of symmetric equations for the line “A" perpendicular to the lines having direction…

A:

Q: In a classic video game, balloons travel from left to rie linear path change as players repeat the…

A: Given,         (x-2)2+(y+3)2=4                          ...(1)

Q: Find the coordinates of the point 7. of the way from A to B. 10 本y 10 8- B(t0,7) 6- 2- -> -6-4-2 -2…

A: Given P is a point 710 of the way from A to B .This implies that point P divides the line AB in…

Q: Find the point on the line T = (-2, 2, 3) + t(4, 1, 1) that presents the shortest distance to the…

A:

Q: Find the equation of the line in standard form (i.e., y = mx + b) that conatins the point (-3,5) and…

A: We have to find the equation of line in standard form if it is passing through the point -3, 5 and…

Q: The equation of a family of straight lines passing through point (2,-1) is

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A line segment P1(2,6) and P2(4,7) is scaled by 5 in x direction and 5 in y direction and then…

A:

Q: Sketch the second order spline that fits the end points PO (0,0), P2(9,4) and tangents intersection…

A: Here we need to sketch the second order spline that fits the end points P0 0,0, P2 9,4 and tangents…

Q: 12) What has all its point equidistance from a fixed point?

A: Solution.

Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: The contrasts (-3, 1 1 1) and (0, 0 , -1, 1) are orthogonal? Is it True or False?

A: Orthogonal contrasts: A set of contrasts in which, for any distinct pair, the sum of the…

Q: 3. What is the equation of the line that passes through point (-3,-1) and is perpendicular to the…

A: Given that: The given equation of the line is y=-13x+5 and the given point is -3, -1 So, we have to…

Q: The line passes through the point (-1, 4, -5) and is parallel to v = 2i – j. %3D

A:

Q: The two points on the lines 2x +3y +4 = 0, which are at a distance of 2 from the line 3x + 4 y –- 6…

A:

Q: Find an equation of he line that satisfies the given conditions.      Through (-5,3); perpendicular…

A:

Q: 4. a Find where F = and c is the straight-line path from (0,0,0) to (1, 0, 5). b. Would you expect…

A: 4. (a) Consider the given function. F→=siny,xz3,ex and 0,0,0 to 1,0,π2 Now, find the r(t) vector…

Q: Find the equation of the Mane that contains the line 3X - 2:2 = - 39 = 7-7 and that is Para llel to…

A: When the plane is parallel to the line x-y+z=2: Here n1→=i^-j^+k^ and a→=2i^+3j^+k^ To find…

Q: How can you day that the points (1,-5),(3,-2),(7,4) are collinear?

A:

Q: Find the equation of line L through the point (5, 7/2, 5) intersecting at right angle the line M…

A: Given that, the line L is passing through the point 5,72,5 intersecting at right angle the line M…

Q: How to calculate the slpoe of the lines given (0,0) (5,2)?

A:

Q: Find the coordinates of the image of the point (-2, 2) when it is reflected across the line y-7 O(2…

A:

Q: Is the point (3, 1) on the line that contains the points (−2, −1) and (4, 2)?

A:

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

A:

Q: :Find the equation of the plane through (-1, 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A: Given,           The equation of the pane through -1,6,1 and perpendicular to the join            of…

Q: Two straight lines 3x - 2y + 5 = 0 and 6x - 4y + 10 = 0 intersect at the origin. are coincident. are…

A: This question is based on straight line intersection.

Q: In hyperbolic geometry, show that two parallel lines converge continuously in the direction of…

A: Angle of parallelism: Angle at the non-right angle vertex of a right hyperbolic triangle having two…

Q: Write down equation of the line in space passing through the points Po(1,0,0) and P (0, 1, 1).

A:

Q: Find the distance between the point (-3,1) and the line 4x + 3y + 4 =0.

A:

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A: Given:  where, C is the line segment from (-1,0) to (0,1) followed by the line segment from (0,1)…

Q: (-2,4) parallel to y=-3/2x+3

A:

Q: The two points on the lines 2x + 3y +4 = 0, which are at a distance of 2 from the line 3x +4 y – 6 =…

A:

Q: solve for orthogonal path

A: Given an equation y=c lnx Differentiating the given equation with respect to x, y'=cx  Therefore,…

Q: Find the equation of the Line passing through the point (2,-4,1) and parallel to the plane 3x+y-2z=5…

A: Given plane , 3x+y-2z=5 -i whose directionof the normal to the plane is3,1,-2and given equation of…

Q: 7 ) Find the equation of line L through the point 5,,5 intersecting at right angle the 2 line M with…

A:

Q: Calculate the direction of P₁P2 and the midpoint of line segment P1P2- P 1(3, 4, 6) and P 2(6, 0, 1)…

A:

Q: What is the equation of the line that is parallel to the line y = -¼x + 5 and passing th point (2,…

A:

Q: 5, what is the speed of the plane?

A:

Q: Find the distance between line 3x + 4y = 10 and point (-2, -1/2)

A:

Q: Find the distance between points A(1,1,0) and B(1,0,1)?

A: A1, 1, 0 & B1, 0, 1.

Q: Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

A: Find your answer below