Find the exact length of the curve. y - 4 + 2x 3/2, o sxS1 1.547

Q: x Find the length of the curve Y= 6 10x', 1<X<2

A: Given curveY=X56+110X3

Q: nd the exact length of the curve. y = 3 1. 4x 1sxs2

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Q: Find the exact length of the curve. x = 8 + 12t2 y = 3 + 8t3 Osts 3

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Q: r = 3sin(Ɵ) Draw the curve, explaining it down to the smallest detail.

A: Given equation is r=3sinθ We have to draw the curve of r=3sinθ. First of all convert the given polar…

Q: Find the length of the curve: r = 5cos 0 1 2 3 4

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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…

Q: Find the exact length of the curve. y? = 16(x + 4)3, Osxs 2, y > 0

A: Given data:   The given expression is y2=16(x+4)3. Th given limits of x is [a,b] =[0,2].   The given…

Q: Find the exact length of the curve x = 5 + 12t? for 0 <t <1 y = 6 + 8t3

A: The objective is to find the exact length of the curve x=5+12t2, y=6+8t3 for 0≤t≤1 Now, dxdt=24t and…

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 exact length of the curve. 1sys2 8. 4

A: Solve the given

Q: Find the exact length of the curve given by 2t2 t3 (0 <t < 5). x = Length = ||

A: Solve for the length of curve

Q: Find the exact length of the curve. y? = 16(x + 1)³, 0 0

A: The given curve is y2=16(x+1)3,y&gt;0y=4(x+1)32 Now, differentiate y with respect to x.…

Q: Find the exact length of the curve. y = 4 + 4x3/2, osxS1

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Q: Find the length of the curve. The spiral r= 30 2,0ses

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Q: Find the exact length of the curve. y? = 64(x + 5)3, 0sxs1, y > 0

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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. y = 5 + 8x3/2, osxs1

A: Given: y=5+8x32,   0≤x≤1

Q: Find the length of the curve x y? – 2y, 0< y < 2.

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Q: 2 y = In (x-√x²-1), for 1 ≤ x ≤ √/485 (Hint: The length of the curve is (Simplify your answer)

A: Topic:- application of derivatives and integration

Q: Find the length of the curve, L. y? = 16 (z+ 3),0sIs1. y > 0

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

A: Given: y=fx=5+2x32, 0≤x≤1 we know that lengthL of curve in interval a,b is given by L=∫ab1+f'x2dx…

Q: y Find the length of the curve x = on 3<y<5. + 18 2y 3.

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Q: Find the length of the curve, L. y = 16 (a + 3)", 0s s1. y> 0

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Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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

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

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Q: d the exact length of the curve. y = 1 + 8x3/2, Osxs1

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Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: Find the length of the curve, L. y? = 64 (x + 1)* , 0 0 L =

A: The curve is y2=64(x+1)3, 0≤x≤3 , y&gt;0

Q: Find the exact length of the curve. y =x2 - In(x), isxs4 y 1.0966

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Q: Find the exact length of the curve 3 + 9t? for 0 <t < 4 2 + 6t3

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Q: Find the exact length of the curve. x = 6 + 6t2, y = 7 + 4t3, o sts1

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Q: Find the exact length of the curve. y = 4 + 4x3/2, oSxS1

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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 = 3 + 6t2y = 8 + 4t30 ≤ t ≤ 4

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Q: ) Find the length of the curve determined by 7 (t) = 2t7 + V3t27 + t

A: To find the length of the curve

Q: Find the exact length of the curve. 1 + x?)3/2, 0sxs2 y

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Q: Find the length of the curve y=7x-13 between y=-6 and y=15.

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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: Find the length of the curve, L. y² = 64 (x + 1)° , 0 0 L =

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Q: Find the exact length of the curve. x = 4 + 6t?, y = 1 + 4t³, 0sts4

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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 exact length of the curve. X = 3 + 6t2 y = 5 + 4t3 0 <ts 3

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Q: Which of the following is the shortest distance from the point (5, 0) to the curve y = V2x ? a) 2 b)…

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Q: write equation for the normal Iine an to the circle with cr=3) at (x=J5)

A: Let the equation of circle                                          x2+y2=r2…

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

A: We will use the following formula.