Find the exact length of the curve. 23/2, Osxs 6

Q: The degree of the following curve may be 2 O a. None of these b. 1 O C. 3 d. 2

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Q: tind the D-E Sor the Following Family of curves y-ax+be

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Q: Let the following curve be given. 7:[0, 1] –→ R² ² + 17 1212 + 17) tH y(t) = Calculate the length of…

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Q: Hw. Find the lengths Ror the fallowing Curvere 2-

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Q: work. a) ( i) Find the exact length of the curve 1 <2

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Q: Find the exact length of the curve a 1+ 3t", y = 4+2t", 0 <ts1.

A: Exact answer is 2(2√2 -1)

Q: of the indicated portion of the curve. K.

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Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 36, (1,6) %3D

A: We will find first slope of tangent and then from the slop and tangent and point will find a…

Q: Find the length of the curve: 7= Scos 4. t2.

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Q: A Moving to another question will save this response. Question 6 Find the length of the curve. x =t…

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Q: Find the slope and concavity of the curve at the given points. r = 1/u, u = -pi, 1

A: Solution:Given    r=1u, u=-π,1To find the slope and concavity of the curve.Formula:Slope of the…

Q: the sloper of the curve 2y = ax? +b at (1,–1) is – 1.Find a, b

A: We have given the sloper of a curve at (1, -1) is -1 .  We have to find the value of a and b.

Q: Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

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Q: If S denotes are length, then find the value of for the curve y f(r) at a point where the tangent to…

A: To find the value of dS/dx for the curve y = f(x) at a point where the tangent is parallel to…

Q: y = -x³/2,0 < x< 1 3.

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Q: Find a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5…

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Q: Which of the following curves pass through the point (1, 4)? c(t) = (t 2, 3 − t)

A: A point lies on a curve if it satisfies the equation of the curve. Substitution of the point into…

Q: Find the slope of (1:2) the curve at the given point %3D

A: Given, x+2y2=x+10 Find the slope of the above curve at the point (1, 2).

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

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Q: Find the the given curve e length of -64e4€ 27 3. 3y 34 32

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 7. Y = 3x5 – 5x³ + 4 8. Y=…

A: 7.   Given: y=3x5-5x3+4Domain: ℝ,   Range:ℝOrigin:…

Q: If a curve C is given by r(t) = (21,3t), what is |r'(t)|? (Type an exact answer, using radicals as…

A: Finding r'(t)

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

A: (a) Given- y=x2e-x To Find- The properties of the curve and sketch the curve.

Q: Given the curve y= x^3 - 4x + 1 . At what point on the curve have the smallest slope? * O (0,1) O…

A: The given curve is: y=x3-4x+1

Q: For x &gt; 0, sketch a curve y = ƒ(x) that has ƒ(1) = 0 and ƒ′(x) = 1/x. Can anything be said about…

A: We have to find f(x) first. c= integrating constant

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

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Q: Q5) Find the length of the curve: r = asin? ,0 0.

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Q: Find the exact length of the curve. x = et − t,    y = 4et/2,    0 ≤ t ≤ 5

A: We will use arc length formula to solve this questions

Q: Find the length of the curve. Vzti + etj + e-tk, Osts 3

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Q: (b) Show that the origin is a node, cusp or an isolated point on the curve y? = ax? + bx3 according…

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Q: Find the length of the curve r(t)=, -2 "< or equal to" 0, "< or equal to" 2.

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Q: What should be the curve to approximate the value of V8? x +6 =0 OB) 1,4142136 x-6 0

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Q: The Circle 2. Find the tangent line to the given circle as directed. 2x? + 2y² = 5x at (2, –1)

A: The equation of the circle is given as, 2x2+2y2=5x We need to find the slope of the line of the…

Q: (a) Find the slope of the tangent line to the circle x? + y? = 25 at the point (3, 4). (b) Which…

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Q: Find the length of the curve. 2ti + etj + e k, 0<tS 4

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

A: We have to find the closet point to the point    (9, 0)

Q: Ex. 2: Find the length of the 2/3 curve

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x? + 4x – 12

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: 8- Find the lengthf the Curve are 24xy=x+48 Hem X=2 tox=y Hint The eure Can be written as fettow +2X…

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Q: Find the length of the following three-dimensional curve. r(t) 12,92t, 6+5t), for 1sts8 L = (Type an…

A: The given three-dimensional curve is,

Q: The given curve is rotated y = 3 - x2,

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Q: х? + 2? + у%3D2 y

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Q: Explain how to find the length of the curve                         r(t) = ⟨ƒ(t), g(t), h(t)⟩, for a…

A: To Determine: Explain how to find the length of the curve Given: we have rt=&lt;f(t),g(t),h(t)&gt;…

Q: 7. Find the points of intersection of the following curves and draw the figure. x? – 3y = 0; x² + 2…

A: We have to solve these two equations to find intersection points of these two curves.

Q: Consider the curve r = (t2,1 – 3t, 1+ t³). (a) Find r'. (b) Does the curve pass through (9, –8, 28)?…

A: To find r'

Q: r= g° ,0<g<\5

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Q: Find the length of the curve. r(t) = ( 6t, t2, 3 Ostsi

A: We find r'(t) using the power rule

Q: 4t, 5 for –2 <t < 4. Find the length of the curve 7(t) =

A: We will use the following formula.

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.