B. Find the point on the line y = 3x that is closest to the point (50, 0).

Q: Evaluate the following line integral.

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Q: Find the point on the line y=x that is closest to the point (3, -1)    The point is (___ , ____)

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Q: Find the point (x0, y0) on the line 4x + 9y = 12 that is closest tothe origin.

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Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

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Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: H

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

A:

Q: 15. Find the point on the line y 3x that is closest to the point (50,0).

A:

Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

A:

Q: Explain the steps required to find the length of a curve y = ƒ1x2 between x = a and x = b.

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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.

A:

Q: The point (a,b) and (c,d) are points on the graph of y= x3+5 whose tangent lines are perpendicular…

A: y=x3+5slope at a,b =2x2=2a2     ...(1)slope at c,d =2x2=2c2     ...(2)slope of given line = -13…

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A:

Q: d is reflected over the line y =

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Q: Evaluate (x+y)ds where C is the straight-line segment x = 2t, y = (8 – 2t), z = 0 from (0,8 C…

A:

Q: finel the equation of the line Hhetis taugent y= y% 2X at x =2

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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: The slope of the line tangent to the graph of 3x +5In y 12 at (2, 1) is 12 (A) 12 (B) 5. (C) 12 4.

A: Given that 3x2+5lny=12To find : Slope of the tangent line at point 2,1Solution :

Q: Find the livus of points that are equidistant to the point F(0,2) and the line y=-2

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Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 5? a = b…

A: Given: The line 4x+y=b is tangent to the parabola y=ax2 when x=5. To Find: Value of a and b.…

Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y=-2t z = 2t

A: Write the vector of the given line using x=4t, y=-2t, and z=2t. L→=xi→+yj→+zk→   =4ti→+-2tj→+2tk→…

Q: Find the line L passes through the point (-2.2) and perpendicular to the line L': 2r+y 4.

A: Given : The line L passes through the point -2,2

Q: Y = , cx. y) = (9,5) X-8 会? Jengent line -? at (9,5)

A: Explanation of the answer is as follows

Q: The line y = kr + 4, where k is a constant, is graphed in the xy-plane. If the line contains the…

A: Given line is: y = kx + 4 ................... (1) The line contains the point (c, d). Then (c, d)…

Q: If C is the line segment connecting the point (x1, Yı) to the point (x2, Y2), find the following. x…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. (a). If you…

Q: e of **y** where the two lines are equal? A y 4 -3 -2 -1 -2

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Q: How is the line y = 1 converted by mapping w = e? ?

A: In this question, we convert the line y=1 by mapping w=e^z.

Q: find the equation of the secant lines of y=√x passing through the points: x1=1 and x2=2

A: Secant line for a function between two points on a curve is simply a straight line passing through…

Q: The area (in square units) between the curve defined by y = x³, the x-axis, and the lines x = -1 and…

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Q: At what points will the line y=x intersect the unit circle x2  + y2 =1?

A:

Q: 12. For the two non-parallel straight lines L:2x- 5y+ 21 = 0 and L: 3x+y+6 = 0, find the coordinates…

A: Consider the following: Line-1:  2x−5y+21=0Line-2:     3x+y+6=0 At intersection point: L1=L2…

Q: Q2) find the distance between two lines L1: x= 1 +4t, y=5 - 4t, z=-1+5t L2: x=2 + 8t, y=4 - 3t, z-5…

A: Method 1:

Q: find point b (x,y) given that M (7,3) is the midpoint of line A(10,4) and b

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Q: Find the distance between lines x + 3y = 5 and x + 3y = 25.

A: The distance between two parallel lines can be calculated using the formula,

Q: y = mx + b is called the v ---Select--- rm of the equation of a line. standard Additional Materials

A:

Q: Find an equation of the line L.L is perpendicular to y=3x.

A: y=3xWe compare it with y=mx+bSo, m=3

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 4?

A: Consider the equation of the parabola, y=ax2 differentiate the equation with respect to x to find…

Q: a) when does the line x 2t, y = 3 +4t intersect the curve y = x2

A: Given data:     The given first line is: x=2t. The given second line is: y=3+4t. The equation of the…

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 4? a = b…

A:

Q: Find the point on the line x + 2y = 5 that is closest to the origin.

A: Let the point (x, y) on the given line x+2y=5  is closest to the origin (0, 0). observe that…

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

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Q: 19. Find the point on the line y= 2x + 3 that is closest to the origin.

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Q: Find the point (Xo, Yo) on the line 4x + 6y = 12 that is closest to the origin. (Xo, Yo) =

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Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

A:

Q: Is it true or false that the equation the distance from the point A(1,2, 6) to the line x + y + 2z =…

A: The line is l:l:x+y+2z=62x-y+z=9 and the point is 1,2,6

Q: For what values of aa and bb is the line −4x+y=b-4x+y=b tangent to the curve y=ax2y=ax2 when…

A:

Q: Q2: Find the distance from the point R( 2,2,10) to the line: x=t y=1+t z = 3-t

A: Here first we select a general point on the line Now, we find the direction vector of that point to…

Q: Write an equation for the line through the point (1,3) parallel to the line y = x + 10. Oy=z O y =…

A: Given query is to find the Indicated line.