Find the length of the curve x = 2 - t, y = 4 + 3t on - 5sts4. The length of the curve x = 2- t, y= 4 + 3t on - 5sts4 is (Simplify your answer. Type an exact answer, using radicals as needed.)

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A: Solved below

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A: Given:   To determine: Exact length  of the curve     Concept: Exact length of the curve y = f(x)…

Q: Find the length of the following curve. 3 2 y X: 3 from y = 6 to y= 9 3 1 2 y 2 The length of the…

A: Let's find.

Q: Find the length of the curve y = 3/2 from a = 0 to a = 3.

A: Given curve is y=43x32   Length of the curve is L=∫ab1+dydx2      ......1 Here given a=0 and b=3 and…

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A: Here, the given curve is: 9y2=4x3⇒y2=4x39⇒y=23x32 Now, the length of the curve on [a,b] is given by:…

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Q: Find the length of arc of the curve 9y^2=4x^3 from the origin to the point (3,2 squareroot of 3)

A: The arc length of a curve y=f(x) from x=a to x=b is defined by the integral L=∫ab1+dydx2dx.

Q: find the length of the curve 3/8 (x^4/3 - 2x^2/3) x = 1 to 8

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Q: Find the exact length of the curve.

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Q: Find the exact length of the curve. x = 7 + 12t, y = 5 + 8t, 0sts 4

A: Given :      x=7+12t2 ,y=5+8t3 ,  0≤t≤4

Q: Use the above formula to find the distance from the point to the given line. (5, 3, -3); x = 1 + t,…

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Q: Find the exact length of the curve. y 1x²-1-In(x), = 4 2 1 ≤ x ≤ 8

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Q: Find the lengthof the curve 」 9メ d S16 3_ %3D

A: Given curve is By fundamental theorem of calculus,

Q: Find the length of the curve. y = 3x3/2 from x = 0 to x = O 1 O 335 243 335 162 335

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Q: 1 use the formula L= [, ct to find the length of the curve 1 X=-ť. y = 1 for 0St<1

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Q: The perimeter of a circumscribed polygon was used to find an approximation for pi by the ancient…

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Q: Find the exact length of the curve. Ex372, 0sxs 4 y =

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Q: Find the exact length of the curve. x = et − 9t,    y = 12et/2,    0 ≤ t ≤ 2

A: Note that:Arc length formula = ∫abdxdt2+dxdt2 dt                   where , a≤t≤b       Given,…

Q: Find the exact length of the curve. x = 8 + 9t?, y = 3 + 6t, 0 sts4

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Q: how that the circumference of the circle x² + y² = r² is 2πr. (Solve using the arc length formula.)

A: Use the arc length formula to prove the given statement. Arc length =1+dydx2

Q: Find the length of the curve. x = 413. y = 612. 0 sts v8 %3D The length of the curve x = 4t°, y = 6t…

A: Given curve x=4t3,   y=6t2    0≤t≤8

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A: First find the intersection point of the curve then calculate slope of tangents of both the curve at…

Q: Find the exact length of the curve. 1 y = 4 -x² - In(x), 1< x < 8 2

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Q: Find the exact length of the curve. 1.2 y = 1x²-1⁄In(x), 2 4 1 ≤x≤ 8

A: This question can be solved using the concept of length of curve using derivatives.

Q: Find the length of the spiral r= 402, 0ses 21.

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Q: 2. Find the exact length of the curve. y = 3 ,1 < x< 2 15+51

A: Find the exact length

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. 36y2 = (x² – 4)³, 4 < x < 9,

A:

Q: Find the length of the following curve. 3 2 y = 2x from x= 0 to x= 6 The length of the curve is

A: To find the length of the curve  y=2x32 from x=0 to x=6

Q: Find the length of the following cur x= 9t?, y = 8t3, for 0sts1 The length of the curve is

A: Here we have to find the length of the curve, We have,

Q: Find the length of the following three-dimensional curve. r(t) = (5+ 4t,9-3t, - 6+2t), for 1sts6 L =…

A: length of the curve r(t) is L=∫ab∥r′(t)∥dt

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: No calculators. Find the exact length of the curve. 0≤x≤l y=2+2x³/2,

A: Length of the curve  =∫ab 1+f'(x)2 dx .

Q: Which of the following expressions should be used to find the length of the curve 2/3 y = x from x =…

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Q: find the distance between 4y+3x=4 and (0,5)

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Q: Find the acute angle between the lines 7x - 4y = 0 and 3x - 11y + 5 = 0.

A: This question is based on straight line.

Q: Find the exact length of the curve. 36y2 = (x² – 4)3, 2 < x < 9,

A: Given:  36y2 = (x2 - 4)3 , 2≤x≤9,y &gt;= 0

Q: Find the distance between the plances 3x + y – 4z = 2 and 3x + y – 4z = 24

A: Given the two planes 3x+y-4z=2,3x+y-4z=24. The distance between two planes Ax+By+Cz=d1,Ax+By+Cz=d2…

Q: Find the distance from P(5,3) to -5æ – 2y + 9 = 0

A: We need to find the distance between the point P(5,3) and the line -5x -2y + 9 =0

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Q: Find the length of the arc of the curve 9y? = 4x3 from the origin to the point (3,2V3).

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Q: Find the length of the curve x = y²³² +1 on 21 44 чу 3≤7≤5. □ стуре fraction, or round to the an…

A: To find the length of the curve.

Q: Find the arclength of y = 4x2 - 4 where x is greater than or equal to 0 and less than or equal to 4

A: Concept Used: The arc length of the function is the length of the curve y=fx on the interval a,b is…

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 5< xs 6,

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Q: Prove that the equation ax² + 2hxy+by² + 2gx+2 fy+c=0 wi h²2 = ab and bg2 = af?. Also find the…

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Q: Find the distance between the plances 3x + y - 4z = 2 and 3x + y – 4z = 24

A:

Q: Find the length of the curve. 33) y-승. from x = 1 to x= 5 2x

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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.