Find the distance from the point to the given line. (0, 1, 2); x= 2t, y = 5 – 3t, z = 2 + t %3D

Q: x Find the length of the curve Y= 6 10x', 1<X<2

A: Given curveY=X56+110X3

Q: Evaluate the following line integral.

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Q: Qz find the alistance from the Point to the line (zy-) , メーマty4zt?2t

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Q: Q/ Find the angle between two curves: 3 y = ==- x? , y = x? 2

A: The angle between the two curve is                                         tan θ =m1-m21+m1m2…

Q: Find the point on the line x /a + y/ b = 1 that is closest to the origin.

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Q: Find the length of the curve below from the the point P = (1, 2) to the point Q = (8, 5). 2² = (y –…

A: The length of arc for curve y=fx from x=a to x=b is given as follows. L=∫ab1+dydx2dx The given curve…

Q: Find the distance, to the nearest hundredth, between the given points. P1(3, 7) and P2(5, 1) Find…

A: Given : P13,7 and P25,1

Q: Find the slope and concavity of the curves at the given points. r = θ, θ = 0, π/2

A: Consider the formula for the derivative for polar curve. The slope is equal to the derivative at…

Q: Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent.…

A: Given  WS = 6x QW = 12x PW = 9 WR = 8

Q: M(2,7) is the midpoint of the interval joining A(3,1) and B(x, y). Find the coordinates of B. B =

A:

Q: H.W Find the angles between the two curves y? = 4x and 2x2 = 12 – 5y %3D

A: in the given question we have to find the angle between the curves y2=4x and 2x2=12-5y. so for the…

Q: Find the distance d between the point M(5, 2, 4) and the line x- 8 y -2 Z-2 %D -8 -9 7.

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Q: = Vx, y = 0, and x = 9 is revolved about the line y = 3. %3D TOTE: Enter the exact answer. Folume

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Q: Find the exact length of the curve. y? = 64(x + 5)3, 0sxs1, y > 0

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Q: Find the points on the line nhere the ta x(t)%3D t3 - 3t +2, Y (t) =3-3t?+2

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Q: Find the length of the curve y? = r between the points (0, 0) and (4, 8)

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Q: Find the slope and concavity of the curve at the given points. r = 1/u, u = -pi, 1

A: Solution:Given    r=1u, u=-π,1To find the slope and concavity of the curve.Formula:Slope of the…

Q: Find the length of the curve x y? – 2y, 0< y < 2.

A:

Q: Find the distance from the point S(- 1, - 6,2) to the line x = 4t, y = 5t, and z= 9t. The distance…

A: topic - distance of a point from a line

Q: 3. The line L is parallel to the line x t, y 2t, z =3 and passing through the origin.

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Q: 3) Find PD 4 x + 2 2x + 2 B D 10

A: Our Aim is to find PD=?

Q: Where should the point P be chosen on the line segment AB so as to maximize the angle θ?

A:

Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: 2. Find the exact length of the curve. y = 3 ,1 < x< 2 15+51

A: Find the exact length

Q: H.W.I Find the distance from the pointC2,,3) and the line

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Q: Q6) Find the distance from the point S= (1, 2, 1) to the line x = 2 -t, y=-1 + 2t, and z= 2 + 2t.

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Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: Find the points on the curve as results of the intersection of x² + y? + z? – 2z = 0, y+ z = 1, -…

A:

Q: find the distance d between the points P1 and P2, P1 = (a, a); P2 = (0, 0)

A: Since, we know that the distance between two points A and B havingcoordinates (x1,y1) and (x2,y2) is…

Q: to Find the mid Point. M.of the line Segment Joiningthe points. S:(-8,2)) and'f =(0i6)

A: Basic algebra problem

Q: The diagram shows part of the curve y? = x+1 which intersects the axes at A and B. The area of the…

A: given,

Q: find the distance between two given points 3. E(7,5) F(-5,0)

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Q: Find the values of x such that the distance between the points (-4,-2) and (x, 3) is 13 units. [show…

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Q: H.w.. Find the distance from the point (2,12)andthe Line

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Q: Find the distance from the point S(- 6,6,8) to the line x = 6t, y = 4t, and z = 4t. The distance is…

A: The given equation of line is: x=6t,  y=4t,  z=4t

Q: Find Line in the plane of the points the PCO 10,0) ,Q (e,2,0) and R Coul,-d thal- passes through Q f…

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Q: The value of de4z+10) dz, where C is the line segment from z=1 to z = 2i. O a. Ob. (e121-) O d.…

A: The given integral is                                      ∮Ce(4z+10)dz   Where C is the line…

Q: H.W: Find the distance from the point S(0,0,12) to the line L: x = 4t , y =-21 , z= 21 : =

A: According to the problem, we have

Q: Find the equation of the lines tangent to the curve x2 + y2 = 4 and parallel to the y-axis ? O A. X…

A:

Q: a. Find the slope of the line from the origin to the midpoint P of side AB in the triangle in the…

A: The given lines are,

Q: Find the distance between P and P(V 21, 0); Q(0, 2)

A: Given, points are  P21, 0 and Q(0, 2).

Q: Fidn the distance between parallel lines with equations Y=-x+2 and Y=-x+8

A:

Q: Find the midpoint M of the line segment joining the points P = (-7,-6) and Q = (-1, 2). M = OD %3D

A: We have to find the mid point between the two given points  P(-7,-6) ,Q(-1,2) .

Q: A В Use the method above to find the distance from the point P(-3, 1,5) to the line through A(1,…

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Q: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

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Q: Find the length of the curve r

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Q: Find the distance from point A to XZ . Round your answer to the nearest tenth. Ay Z(2, 7) 6. Y(0,…

A: Solution

Q: Find x² z ds, where C is the line segment from (0,5,-1) to (-3,5,2). Check Answer

A: