Which points on the graph of y = 4 – æåre closest to the point (0, 2) (쓸, 를) and (, 골, ) . O (2, 0) and (-2, O). O (3, ) »nd (G, i) O (/2, 2) and (-/2, 2)

Q: An unsymmetrical parabolic curve has a forward tangent of 5% and a backward tangent of -3%.The…

A: Given G1=−3%, G2=5% And l1=120 m, l2=90 m PVI station=5+040 And PVI elevation=101 m PVC station=PVI…

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: What are the coordinates of the points in the graph of y² –x²+ 6x – 13=0 in which the tangent line…

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Q: 2)Passes point (1,3,7) and orthogonal to xy- plane.

A: The line which is orthogonal to x-y plane is lies on z-axis. Therefore the direction ratio's of the…

Q: A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this…

A: We answer only one question at a time , so we will answer the first question since the exact one…

Q: (-6, 4) and (2, 9) %3D AX : %3D Ay Slope = %3D AX

A:

Q: What is the image of the point (2,-3) after the transformationr y-axis 1) (2,3) 2) (-2,-3) 3) (-2,3)…

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Q: Line L is perpendicular to the line 6z – y = 7 and passes through the point (0, 6). Line M is…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Suppose you go up a hill whose shape is given by the equation z = 1000 - 0.005x2 - 0.01y2, where x,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Determine the equation of the line tangent to the curve (x+y)^7 = x^7 + y^7 (x+y)  at (−1,1).

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Q: 1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on th

A: We have to find point.

Q: <, y) = )-« lustrate with a sketch. y 4 3 3 2 2 2 1 -4 -3 -2 1 1 2 4 -4 -3 -2 4 -4 -3 -2 /1 -1 -2 -3…

A: Topic:- calculus

Q: 1 What is the image of the point (-4,-2) after the reflection over the line y = - -X- 1?

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Q: Through any point (x, y) of a certain curve which passes through the origin. lines are dawn parallel…

A: Draw the sketch of two possible cases of the given problem:

Q: the tangent line to the graph (x^2 + 4)y = 8 at the point (2, 1).

A: Use formula of  equation of tangent  line

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A:

Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) → (0.5x, 0.5y)? O…

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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 plane through the points (2, 1, –1), (0, –2, 0), and (1, – 1, 2) is parallel to the line x=1-t,…

A: Equation of plane passing through x1, y1, x2, y2, x3, y3 is given by,…

Q: Which graph shows the intersection curve, in the first octant, between a cylinder of equation: (x −…

A: In this question, we need to find the curve which describes the intersection of the surfaces.…

Q: Find the number of points in the xy-plane with integer coordinates located at a distance 5 from the…

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Q: 17. Passes through the point (2, 1) and is perpendicular to y = -x+ 3.

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Q: 1. Line L passes through point P(-2,5, 7) and having [4,-3, 2] as set of direction numbers. Find the…

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Q: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2), the robot turns 90°…

A: We have to find the y-coordinate.

Q: In the qiven question , estimate the slope of the graph at the points (x1, y1 ) and ( x2, y2 ). see…

A: According to the given information, it is required to determine the slope of the graph at the given…

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A: To find the points at which tangent line is horizontal , y' =0.

Q: 4 Construct line AB whose equation is given: y =-,+5 %3D Graph the y-intercept first; then graph a…

A: Giveny=-43x+5

Q: d) At what angle above the horizontal does the trajectory begin in that direction?

A: Given: Suppose you go up a hill whose shape is given by the equationz = 1000 - 0.005x2 - 0.01y2,…

Q: Determine the equațion of a line that is perpendicular to y=x+5 that goes through the point (5,-2)…

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Q: What are the new coordinates of the point (6, 15) under the dilation (x,y) → (3-3)?

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Q: A line, passing through point (6, 3, 2) and is perpendicular to the xy-plane. Find a point on this…

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Q: Datermine whether the graphs of y = 7x + 2 and 7x – y = 0 are parallel, perpendicular, or neither. v…

A: The slope-intercept form of a line is given by y=mx+c, where m is the slope of the line and c is the…

Q: A line pases through the point (-2,1) and is paralle to the line 2x+y=1

A: Solve using the concept of parallel lines

Q: Evaluate S(z² + 3z)dz along the straight line from (2,0) to (2, 2) and then from (2, 2) to (0, 2).

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Q: What are the coordinates of the points in the graph of y – z² + 6z – 13 = 0 in which the tangent…

A:

Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) (0.5x, 0.5y)? O (-7,…

A: Given coordinate of point ( -14 , -24 ). dilation is , ( x , y )→ ( 0.5x , 0.5y )

Q: The curve y=ax²+bx+c passes through the point (2,28) and is tangent to the line y=4x at the origin.…

A: Given, y=ax2+bx+c

Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

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Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: The 3 lines x = 3, y – 2.5 = --(x – 0.5), and y – 2.5 = x – 3.5 intersect at point P. Find the…

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Q: Graph triangle LMN with L(2, 7), M(8, 8), N(2, 1), and its image after Ry-axis ° T(-4,-5).

A: Given  L(2,7)M(8,8)N(2,1) Translation Ry axis∘T(-4,-5)   for rotation around y axis (x,y)→(-y,x)

Q: Calculate the distance between the points H=(-2, -3) and N=(-8, 2) in the coordinate plane. Give an…

A: We know that the distance between the points x1, y1 and x2, y2 is given by x2-x12 + y2-y12

Q: 1 What is the image of the point (-4, -2) after the reflection over the line y = - x- 1?

A: follow next step

Q: The slope of the tangent line to the parabola y 3x + 3x +7 at the point (- 5, 67) is: The equation…

A: Take the derivative and put the given point.

Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

A:

Q: The y-axis and the line x = c are the banks of a river whose current has uniform speed a in the…

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Q: 4. Find the member of the curve whose slope at any point is 4y point (3, 4) and passes through the

A: Note: As they are different questions, as per our company guidelines we are supposed to answer the…