.Find the coordinate of the turning point of the curve y = -x³ + 12x

Q: Locate and examine the nature of turning point of the curve y 2x2 +2x +3.

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Q: The diagram shows the curve y= 4x –x and the straight line x=4.

A:

Q: Q2/ Find the equation of the circle tangent to the lines, y= -2x+3, y 2x+7, and y

A: Answer

Q: c) Determine the nature of the turning points for the curve y = x5 – 5x4 + 5x3 – 1.

A: To determine the nature of turning points for the curve  y=f(x)=x5-5x4+5x3-1 we have to find out…

Q: Graph the curves y = x3 - 4x and x =y3 - 4y and find their points of intersection correct to one…

A: We will graph the functions using a graphing calculator

Q: 2. Trace the curve x3 – 6x² + 11x – y = 6. -

A: Given curve is, x3-6x2+11x-y=6 That is, y=x3-6x2+11x-6 1) Domain and Range of given curve:    This…

Q: (a) Find the points of inflexion of the curve y(a² +x²) = x³

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Q: Graph the following curves and determine the x and y intercepts. y + x = 5 1.2 1.1 y2-3x = 0 1.3 y +…

A: (1.1) We have the given equation of curve as y+x=5 On taking the ordered pair or data points, we get…

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY   Y2 = x2+5x−4/x−5

A: Given,           y2=x2+5x-4x-5

Q: Trace the curve x^3 − 6x^2 + 11x − y = 6.

A: Given- x3-6x2+11x-y=6 To draw- The graph of the above function. Concept used- The above expression…

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY x²-4x-12 6. Y = x²-2x-3

A: We have to sketch the curve Y2=x2-4x-12x2-2x-3 or Y=x2-4x-12x2-2x-3.

Q: Which points on the graph y = x² are closest to the point (0, 4)?

A: Since multiple questions are asked , According to guidelines I will answer the first one.

Q: Locate and examine the nature of turning point of the curve y = 2x2 + 2x+ 3.

A: If f(x) is a function, then the turning points are the values for which f'(x)=0. ddxf(x)=0 Nature of…

Q: Sketch the graph of the curve y=x(x² +2x)², labelling the stationary points and intercepts.

A: Recall: 1) Stationary Point : dydx=0 2) Intercepts :The x-intercept is the point at which the graph…

Q: section to sketch the curve y =x-12Vx.

A:

Q: f Chase needs to throw a basketball so that the path of the ball follows the curve of y=-x(x-3) at…

A: Given,           Chase needs to throw a basketball so that the path of the ball follows the curve of…

Q: Find the length of the curve Y 12x', 1<X< 2

A: Given curve is: Y=X55+112X3, 1≤X≤2 To find the length of the curve.

Q: Find the equation of the line tangent to the graph of y = 2x3 – 8x? + 3x – 6 at x = 1.

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Q: Locate and examine the nature of turning point of the curve y = x2 - 5x + 6.

A:

Q: II FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY| 6. y =-4x-12 x²–2x-3

A: In the question it asked to find properties of the curve Y2=x2-4x-12x2-2x-3.

Q: Find the equations of the curve for which y" = 6x2 and which passes through the points (0,2) and…

A:

Q: 4b. x? — у? + 2? -1 Name the curve

A: Given: x2-y2+z2=1

Q: Q3\ Sketch the graph of the curve 1- y=x² +2

A:

Q: (a) Find the length of the curve y=[^ √√√²-1dt, 1≤x≤ 16.

A: To find the length of the curve.

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: Find the reflection of the straight Line X+3y =1 With a circle x+y"-2X-49+1 \

A: The standard form of a circle is defined as follows: x2+y2+2gx+2fy+c=0 The center is given as -g,-f…

Q: Determine the nature of the turning points for the curve y = x5 - 5x4 + 5x3 -1.

A: Given function is y = x5- 5x4 + 5x3-1   ......1

Q: [24] Complete the square to determine the type of curve represented by the equation: 4x +9y² –16x–…

A: The given question is taken from the conic section in which we have to find out the given equation…

Q: Find the point of inflection of the curve y = 3x4– 8x3+ 6x2

A: An inflection point is a point on the graph at which the second derivative changes sign.If f…

Q: Q2/ Find the equation of the circle tangent to the lines, y -2x+3, y = - 2x+7, y=+ and y =+

A: In the above question we have to find the equation of the circle at the tangents -  y= -2x+3 ; y =…

Q: Which equation could generate the curve in the graph below? O y= 3x2-2x + 1 O y= 3x2-6x +3 Oy=…

A: The quadratic function is a second-degree polynomial in which the highest power of the variable…

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

Q: Q2/ Find the equation of the circle tangent to the lines, y =-2x+3, y = - 2x+7, y-+늘and y- +글 %3D…

A: The lines given by y=-2x+3 and y=-2x+7 will be parallel to each other as they have the same slope m.…

Q: The equation of the curve is given as y = 3x + 1

A: topic - slope of curve at a point

Q: FIND THE PROPERTIES OF THE CURVE (w/step-by-step solution) AND SKETCH FUL х2 — 4х — 12 y? - х2 — 2х…

A: The domain and range of any function can fully describe about the nature of any figure or curve. The…

Q: Discuss and trace the curves of the following equations. 1. y = x2 – 16 2. y = 2x3 – 9x² – 4x + 15 -

A: We have to trace the curve of given equation.

Q: The point P(4, -2) lies on the curve y = -

A: As per our guidelines, we are supposed to answer one question at a time. Kindly repost other…

Q: Sketch the curves 2.)  y = 36 + 12x - x3

A: This question is taken from the curve sketching in which we have to sketch the given function. We…

Q: X N y

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Q: Find the equation of the line that passes through the points of intersection of the curves y^2 = x…

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Q: State the curve domain and coordinates of the point where the curve cross es the n-axis y: In (2x…

A: Given y= ln(2x - 5)  The domain of a function is the complete set of possible values of the…

Q: Graph the curves y = (x - 3)2 ex

A: Here given as y=x-32ex When x=3 Then y3=3-32e3=0

Q: Determine the nature of the turning points for the curve y = x5 – 5x* + 5x³3 – 1.

A: Turning point of a curve: Turning point is a point where the graph has the highest value (maximum)…

Q: =+ dr x = 2 ke x = 3 16 2x2

A: