ering Mathematics (MTCA3001) Locate and examine the nature of turning point for the curve y = -x²+4x+ 6. Select one: a. (-2, 10) аnd minimum b. (10, - 2) and maximum с. (2, 10) and maximum d. (10, - 2) and minimum

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

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Q: One of the stationary points of the function y = 4z5 – 6z + z2 - 2 is (-1,1 Is this a maximum or…

A: Given: One of the stationary point of the function y = 4x5 -6x3+x2 -2 is (-1, 1). To find: Is the…

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: 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.

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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…

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Q: Find the point on the graph of y = (2x - 1)^3 + 6 where the normal line is vertical. Thanks

A: We have to find the point on the graph where normal line vertical

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A: We have to mention the sets of points in space whose coordinates satisfy the given inequalities…

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

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the turning points…

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Q: Which point on the graph of the line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

Q: a. What is the maximum or minimum point for the curve y = x² - 4 b. What is the maximum or minimum…

A: Given  y = x2-4    .............. (1)  To check local minima or local maxima, we have to…

Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY x2+5x-4 6. Y2 = x-5

A: We are given that  γ2= x2+5x-4x-5 We need to find the symmetry, asymptotes, intercepts, critical…

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Q: Determine the turning points and point of inflexion for the curve y = 2x +3x2 -12x+7.

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Q: Find the points of intersection of the curves y = 5x2 - 3x - 2 and y = 2x - 1.

A: We have the equation of curves as y=5x2-3x-2            ⋯⋯1y=2x-1                      ⋯⋯2

Q: Describe {x : x 2 + 2x < 3} as an interval. Hint: Consider the graph of y = x2 + 2x - 3.

A: the graph of y = x2 + 2x - 3.

Q: Sketch the curve of y= 3x-10x³-12x²-7

A: The objective is to sketch the graph.

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

A: To find the length of the curve.

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…

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Q: nsider the partial construction of a line parallel to line rthrough po

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Q: Find the relative minimum point, maximum point, point of inflection and Sketch the graph of the…

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Q: 1. y=x-3x +2 -4 -3 -2 3. 4. 2. -\

A: The given equation y=x2-3x+2 By substituting x = -4 in above equation we get, y=-42-3-4+2=16+12+2=30…

Q: Find the equation of a hat has a śecond clerivative y" = 12/x3 if it has a slope of' -b at point…

A: To Determine :-  The equation of a curve that has a second derivative  y'' = 12x3 if it has a slope…

Q: Find the point inflection of the curve 2y=9x²-x³+6

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Q: Determine the points of intersection of y = x2 and y = x + 1.

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Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

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Q: Which is an equation with a degree of 4, zeros located at (4,0) and (3,0) and a y-intercept located…

A: Given that zeros are located at (4,0) and (3,0). So corresponding factors are (x-4) and (x-3)…

Q: or minimum point. y = -2x2 - x O a = -2, minimum O a= -1, minimum a = -2, maximum O a=-1, maximum

A: We will find the coefficient and check for a maxima or minima.

Q: I月 a. What is the maximum or minimum point for the curve y = x? - 4 b. What is the maximum or…

A: Find out the maximum or minimum point of the given curves

Q: Solve y" - 2y" - y' + 2y = 0. Include a plot of the solution curves.

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

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Q: Trace the curve: y^2 = 4x^2 / (x+5) (x-2)

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

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

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Q: Find the coordinates of the turning points on the curve y = x3 - 4x2 + 4x, distinguishing between…

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Q: At a pottery factory, fuel consumption for heating the kilns varies with the size of the order being…

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Q: maximum point of y x? x – 2 |

A: Given a function : y2=x2x-2 We need to find the maximum point. Let's begin.

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: IL FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY x2 +5x-4 6. Y2 = x-5

A: The derivative of a function is the change of variable with respect to another variable. The first…

Q: Describe the graph of the quadratic rolation y=20x + 1)(x-7) Sketch the graph and label the…

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

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.