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

Q: Find the abscissa of the point on the graph of y=V 2x – 1 that is parallel to the line 2x - y+1=0

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

A:

Q: O Find the shortest distance from (1, 2, 3) to the line x = 3+t, y = 1 – t, z = 6 - 2t.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How do I do this?

A:

Q: Where is the line y = 10 – 2x closest to the origin? (х, у) %3D

A:

Q: 2. Evaluate S. 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Solution

Q: What is the length of the curve y= x3/2+4 from the point (1,5) to (4,12)?

A: Arc length is defined as the distance between two points on the curve. It is done in such as way…

Q: When is the line ax+ by = c parallel to the y-axis? To the x-axis?

A: ax+by+c=0        When a=0, then the line equation becomes               bx+c=0…

Q: The temperature of a rectangular plate bounded by the lines x = ±1, y = ±1, is given by T = 2x2 −…

A:

Q: 2. Evaluate . 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Let C be a piecewise smooth curve defined by, Let P and Q be two continuous functions of x and y…

Q: 10. Determine the point on the line x + 2y = 2 that is closest to (0, 0). Draw a sketch.

A: point which is closest to origin

Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x, y) = |

A: To find - Point on the given line closest to the origin.

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: - For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3-y = 1?

A:

Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y = -2t z = 2t 3

A:

Q: 23. The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y. O…

A: Given that the distance from a point 2,y to the line 4x+3y=0 isequal to 5. We need to find the value…

Q: 7. By definition find the slope of curve y = x2 – 2x – 3, at P(2, 3).

A:

Q: Find the point on the line y = 3x + 5 that is closest to the origim %3D (x, y) = %3D

A: We have to solve

Q: 22. Find the distance from the point (5, 2, –1) to the line x – 1 2. || ||

A: A line in three-dimensional geometry can be represented by parametric form, vector form, or…

Q: Find the point on the line y=5x+3 that is closest to the origin (x,y)=(______)

A: Let (m,n) be the point on the line which is closest to the origin.Put n = m, y = n, in y = 5x + 3…

Q: 51. Show that the shortest distance from the point (x1, yı) to the straight line Ax + By + C=0 is Ax…

A:

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

A: The perpendicular drawn from the origin to the line represents the shortest distance.

Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

A:

Q: The area bounded by the curve y=4x y=4x  and the lines x=6x=6 ,x=10x=10 and x−axisx−axis is: Choose…

A:

Q: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

A: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

Q: Find the distance from the point P(-1,2,4) to the line given by x=2t y=1+t z=3t

A: Given query is to find the the distance between point and the line

Q: 4. The tangent of the acute angle between the lines y= 4x- 3 and y=x-5 is А. 5 В. C. 3 D. 5

A:

Q: 2 1ど y+1 w that line

A:

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (x, y) =

A:

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: 4) Evaluate , -dz, where y is the line from 1 → 1+ i

A: In complex integration, we have to convert our given question into complex terms. But in our…

Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x,y)=

A:

Q: 2 Show that the line y = x +3x+m for all values of m. y= mx+4 will touch or intersect the curve

A:

Q: 2)What line is perpendicular to 2x + y = 3 at (1,1)?

A: What line is perpendicular to 2x+y=3 at (1,1)?

Q: 2- The distance d from the point R=(1,4,-3) to the line L: x=2+t,y%3-1-t Z- 3t is 4.43 False True

A:

Q: What can you conclude if you know that the point (p, q) lies on the line y = mx + b?

A: We have to conclude if the point p, q lies on the line y=mx+b. We know that if any point is lying on…

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: Find the distance between line 2xy + z = 4.

A:

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: Find the point on the line y 2 x-3 that is nearest to tne ofigin.

A:

Q: ez ds where C is the line segment from (0, 6,-1) to (4, , 5). Compute

A:

Q: Evaluate (x + y) ds, where Cl is the line segment from (-2, 1, –5) to (-1, –1, –2).|

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: 9. What point on the line y=3x+4 is closest to the origin?

A: Given that: y=3x+4

Q: What can you conclude if you know that the point (p, q) lies on the line y — тх + b?

A: The given equation of the line is, y=mx+b If a point lies on the line then the point satisfies the…

Q: 16. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4. Find the…

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Q: A line that is normal to the curve x^2+3xy-4y^2=0 at (6,6) intersects the curve at what other point?

A:

Q: What is the equation of a line that goes through the point (0, 2) and has a sloj y = - x + 2 y = 2x…

A:

Q: What is y = _ + x3 1 curve x = 1 and x = 2 the length of the part 12 х between the abscissa points?

A: We find dy/dx using the power rule