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

Q: Find the exact length of the curve.   y= 2/3x3⁄2,    0 ≤ x ≤ 4

A: Given query is to find the length of the curve for the interval.

Q: y (x+1)²

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Q: Sketch the ff curves: a) Y = x² e* b) Y = 1+lnx c) Y = ²-4)² x-4

A: To draw the graph of asked curves you can simply make a table and find some points through the curve…

Q: Find the point of inflection of the curve 6x – x' +5 y = 7 b. (2, 4) d. (3, 1) а. (0, 1) с. (2, 3)

A: Inflation point of a curve is a point on the curve at which concavity of the curve changes means it…

Q: Find the exact length of the curve. y = 2 + 2x3/2, 0sx<1 Need Help? Watch It

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Q: c. What is the maximum or minimum point for the curve y = -3x2 - 12x + 5?

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Q: Identify and sketch the curve: x2 + 25y2 − 4x + 100y + 8 = 0

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Q: find the properties of the curve ans sketch fully 6. Y^2 = (x^3)/(x^2 -4x +4)

A: Consider the given function. y2=x3x2-4x+4 There is y2 Therefore the value of y can be a positive or…

Q: Find the exact length of the curve. x = 9 + 6t2, y = 4 + 4t3,

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Q: Locate the points of inflection of the curve y = (x^2)(e^x) * -2± /3

A: Solve the following

Q: Consider the curve y = 3x3, The sketch of the portion of this curve between x = - 1 and x = 8 is…

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Q: Find the x- coordinate of the inflection point(s) of the | .2* curve y = -7xr'+ 4x +10.

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Q: Determine the nature of the turning points for the curve y = x^5 − 5x^4 + 5x^3 − 1.

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Q: Find the exact length of the curve. 1sys2 8. 4

A: Solve the given

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

A: Given,           y2=x2+5x-4x-5

Q: sketch the curve  y=x/(x+1)²

A: Given equation is: y=xx+12 We have to find the graph of y. The set of x and y-values are given as…

Q: Find the exact length of the curve. y = 5 + 8x3/2, osxs1

A: Given: y=5+8x32,   0≤x≤1

Q: Q2- Sketch the curve: y = (x+1)

A: The function given to us is  y=x(x+1)2

Q: x3 Y2 = x2-4x+4

A: To determine the properties of curve, we will need to have function, its first order derivative and…

Q: Find the coordinates of the stationary points for the curve  y =-x3 -4x2 + 3x +18. Determine the…

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Q: Find the length of the curve: x3 1 y = - 3 4x' 1<x< 3

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Q: b. The curves y = x² - 5x and y= 25-x.

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Q: consists of y = 4-x and straight line from (-2,0) to (2,0). Sketch the curve C. 64 ans: 3

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Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY Y^2 =x^2+5x−4/x−5

A: We are given the curve: y2=x2+5x-4x-5 Sketching the curve , we have :

Q: find the eauatjo aof the nor ma l to the curve 2. (x + 3)?y =3y-3x2

A: For any curve y=f(x), slope of tangents and normal at any point x1, y1 can be given by mT=dydx(x1,…

Q: Find the exact length of the curve. y = 3 2x3/2, 0 < x < 6

A: We have to find length of curve

Q: Find the exact length of the curve. 2. y = 3 x3/2 Osxs1

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Q: Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t<2

A: Given data:     The first parametric equation is: x=3t2. The second parametric equation is: y=2t3.…

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 length of the curve. x- 4t°, y= 6t, 0sts 3

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Q: Find the exact length of the curve. x = 2 + 3t2, y = 5 + 2t3, 0sts 2

A: Given,

Q: 6. Y = %3D x2-4x+4

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Q: DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y x- 3x2 + 4x- 12 2. y =…

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Q: Find the exact length of the curve. y = 2/3x3⁄2,    0 ≤ x ≤ 1

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Q: Jse the guidelines of this section to sketch the curve. y = x2 - 4 y y 5 X 5

A: Given that: y=xx2-4

Q: Find the exact length of the curve. y = 5 + 6x3/2, Osxs1 OSxs1

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

Q: Find the exact length of the curve. X √(y - 3), 16 ≤ y ≤ 25

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Q: Find the exact length of the curve. x3 y = 1 + 4x 1< x < 3 3.

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Q: Find the lengths of the curves x = (y3/12) + (1/y), 1 ≤ y ≤ 2

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Q: Q2- Sketch the curve:

A: We have to sketcht the curve y=x(x+1)2

Q: Y = 3x5 – 5x3 + 4

A: Given function is: f(x)=3x5-5x3+4 Given function is polynomial function whose domain and range are…

Q: Find the exact length of the curve. 1 y = + 10x37 6 1 ≤ x ≤ 3

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Q: Find the properties of the curve and sketch fully   y2=x^2-4x-12/x^2-2x-3

A: I have provided this answer in step 2.

Q: 2.x? Sketch the curve y= x² - 1

A: y=2x2x2-1 y=2x2x-1x+1

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x

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Q: FIND THE PROPERTIES OF THE CURVE AND SKETCH FULLY 6. y2 = x²+5x-4 x-5

A: Given, the function y2=x2+5x-4x-5. We have to sketch the given curve. Also, find the properties.

Q: Find the lengths of the curves y = 2/3 x3/2 - 1, 0 ≤ x ≤ 1

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Q: Find the exact length of the curve. y = 1. 1sxs 2 + - 3 4x

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Q: Find the exact length of the curve. y = (2/3)(1 + x2)3⁄2,      0 ≤ x ≤ 2

A: Given: - The curve is, y=23(1+x2)32,  over the interval, 0≤x≤2 To find: - The exact length of the…

Q: Evaluate the length of the curve y = 3 + 3Vx +1 , 0<x< 3

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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.