What is the axis of symmetry of the parabola y= 1/4(x-1)^2 -3 1.(1,3) 2.(-1,-3) 3.(1/4,-3) 4.(1,-3)

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: 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. CENTER AT (-3, 4); V(-10, 4) length of minor axis = 9

A: Here is the solution

Q: The slope of the tangent line to the parabola y = 2a2 + 2a + 6 at the point ( – 2, 10) is: The…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 7x X-axis…

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Q: What is the equation of the line tangent to the parabola y2=12x at point (2,2)

A: y2=12x  ⇒  4a=12                     a=3

Q: 5. Find the equations of the tangent line and normal line to the parabola y = 2x² at the point…

A: Since, you have asked multiple questions , according to our guidelines we are supposed to answer…

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: 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: Next There is a line through the origin that divides the region bounded by the parabola y = 4x –…

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Q: How to find an equation of the line tangent to the circle x^2+y^2-6x-2y-15=0 at the point (6,5) ?

A: Note:- The standard form of equation of tangent line at point c, d is y-d = m x-c Here, m is the…

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – the…

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Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is…

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

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Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – axis…

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: Find the equation of the tangent line to the ellipse 25x2+ y2 = 109 at the point (2, 3

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Q: What is the length of the curve y3/2+4 from the point (1,5) to (4,12)?

A: To find: The length of the curve y3/2+4 from the point (1,5) to (4,12).

Q: There is a line through the origin that divides the region bounded by the parabola y = 5x into two…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: There is a line through the origin that divides the region bounded by the parabola v X-axis into two…

A: Given- There is a line through the origin that divides the region bounded by the parabola y = 7x -…

Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: Find the distance between points (2,3,5) and (-1,4,-2) in space

A: The given points are (2,3,5) and (-1,4,-2).

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

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Q: The line y = 2x - 9 is tangent to the parabola y = x'2 + ax + b at the point (4,-1). What are the…

A: Given y=2x-9 is tangent to y=x2+ax+b at (4,-1) So, y=x2+ax+b passes through (4,-1)Put x=4 and…

Q: Find the distance between point (5,-1) and line x=3y-12.

A: Given: The point (5, -1) and the line  x = 3y -12. To find: The distance between the given point and…

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: There is a line through the origin that divides the region bounded by the parabola y = 5x – 7x² and…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – 3x and…

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Q: Find the points of intersection of the circle C of radius 3 centered at (-1, -2) and the line L with…

A: Want to find:                         the points of intersection of the circle C of radius 3…

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

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

A: Note that the slope of a horizontal line is zero. Also the slope of a tangent is given by the…

Q: Help 18 cubic function whose graph has horizontal tangents at (-2,6) and (2₁0). {Y= ax ³ + bx²²…

A: Let's solve.

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

A: As we know that; The slope of the horizontal tangent line is zero or m=dydxPx0,y0=0 Given;…

Q: What is the smallest possible area of the triangle that is cutoff by the first quadrant and whose…

A: Given that the triangle that is cut off by the first quadrant and whose hypotenuse is tangent tothe…

Q: Find the equations of the tangent lines to the circle x2 + y2 = 9 which pass through the point (-7,…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 7x – 2x and…

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Q: 4. Center at (-4,9), tangent to the x-axis 5. Center at (-4,9), tangent to the y-axis

A: In this question we have to find the equation of the circle tangent to the x-axis and y-axis.

Q: There is a line through the origin that divides the region bounded by the parabola y = 2x – 8x and…

A: There is a line through the origin that divides the region bounded by the parabola y=2x-8x2 and the…

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: There is a line through the origin that divides the region bounded by the parabola y=8x−6x2 and the…

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Q: 1- -3 -1 2. 4 -1- X-аxis -2 -3- O 2 O 0.5 O -2 -0.5 y-axis 20

A: slope = (y2 - y1)/(x2 -x1)

Q: 3// Does the parabola y = 2x2 – 13x + 5 have a tangent whose slope If so, find tangent and normal…

A: Q3    y = 2x2-13x+5 -*      dydx=4x-13if scope of the tangent be -1 thendydx=-1 as than paint of…

Q: A parabola is the set of all points in the plane that areequidistant from a fixed point called the…

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Q: Find the distance from the point (-4,3,-2) to the yz-plane.

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Q: There is a suspension bridge, wherein 2 towers are 12 meters high and 20 meters apart (10 meters…

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Q: Find the equations of the tangent lines to the circle x2 + y2 = 1 which pass through the point (-4,…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 2x-6x and the…

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