5) Find the points on the graph of y=9-x² that are closest to (0, 3). (Hint: If you are stumped take a look at this video https://www.youtube.com/watch?v=UGIOHXM_tfE to see a problem of this type.)

Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

A:

Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

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A: To discuss about graphing utility.

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Q: The slope of the tangent line to the parabola y = 2x + 5x + 7 at the point (- 4, 19) is: The…

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Q: The equation of the tangent line to the circle x^2 + y^2 = 36 at the point (5, square root 11) is…

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Q: One of the stationary points of the Uncuon Is this a maximum or minimum point of the graph?

A: Given: y=4x5-6x3+x2-2 The stationary point is (-1,1).

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: the guidelines of this section to sketch the curve: y = x+ – 8x

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

A: Given query is to find the point where tangent line is horizontal.

Q: opens upward with vertex at (-12,-6) with directrix y=- 17

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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: 9). Find the curve whose slope at any point is 3x – 5 that passes through point (5,3).

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Q: (a) The curve with equation 2 y 3 + y2 - y 5   = x 4 -2x3  +x 2  has been likened to a bouncing…

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Q: Find the exact length of the curve y3 = 22 from (-1,1) to (8, 4).

A: Use formula of length of curve

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A: To find the length of the line segments we need to find the point on which the line joining the…

Q: Find the orthogonal trajectories for the family of curves y2 = Cx3 . Use a graphing utility to graph…

A: Given curve is y2=Cx3.

Q: Find the point (s) on x = 3 - y2 that are closest to point A = (1,0).

A: Given: x = 3 - y2 and point A = (1, 0)

Q: 4)Solve for the family of curves of straight lines with y-intercepts thrice as their corresponding…

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Q: Which point on the graph of y = radical x is closest to the point (7, 0)?

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

A: Given slope (m) = 3x/4y Passing through a point (3,4) Therefore member of the curve whose slope…

Q: 2. Find the coordinates of the midpoint between the two points on the graph.

A:

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

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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: Find the equations of the tangent line and normal line to the parabola y=2x2 at the point (2,8).

A: We find dy/dx at x=2 to find the slope of the tangent  Then we use the point-slope formula to find…

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Q: Use the guidelines of the section to make a complete graph of ƒ. ƒ(x) = sin x - x on [0, 2π]

A: Given function - f(x) = sinx-xIntervals = 0, 2πUsing value of π as 3.14 to draw the curve,let us…

Q: Find an equation of the curve that passes through the point (0, 2), and has the given slope y′ =…

A: y'=x4y, (0,2) Formula ∫xndx=xn+1n+1+C

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have vertical tangent line.

A: This question is taken from the tangent and line in which we have to all points on the graph that…

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

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Q: 15. Sketch the graph of y= (x+3) -4 and identify the axis of symmetry. x = 3 x- -3 x = 4 x- -4

A: According to question given:y=x+32-4We have to calculate the axis of symmetry iof the given…

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

A:

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: 6 Use the graph to estimated the x- and y-

A: Introduction: A graph's x-intercept is the point at which the graph crosses the x-axis. (Because a…

Q: Find the point on the curve y = 3x + 4 which is closest to the point (5, 0). Preview Preview

A: Let (x, y) be the point closest to the point (5, 0) We will calculate the distance between these two…

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A: We have to choose the correct answer from the given options according to the given information

Q: 2. Find an equation of a curve satisfying the ff. condition and passing through the point (0, -1).

A: dxy-dy1+x3=0A first order separable ODE has the form of Ny·y'=MxLet y be the dependent variable.…

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: Find the coordinates of the image. Ry-axis (S) -3 -3- th

A: From the graph given point S is at (3,6) Now reflect the point S across y axis For reflection across…

Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.

A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…

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: Graph the given parabola by determining the vertices and using first derivative test y = 3x4- 8x +…

A: Given parabola:                              y=3x4-8x3+6x2            Let's find the y-intercept for…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.