SHOW DETAILED SOLUTION OF EACH PROPERTY (CRITICAL POINTS, MAXIMUM & MINIMUM, INFLECTION AND SYMMETRY) OF THE CURVE AND SKETCH FULLY. х2 — 4х — 12 y? : х2 — 2х — 3 %3D -

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: Explain the steps required to find the length of a curve y = ƒ1x2 between x = a and x = b.

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Q: Find the length of the curve y = x2, 0 ≤ x≤√3/2.

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Q: Find the length of the curve x = 1+ 3t2, y= 4+ 2t³, 0 <t< 1. Length =

A: Given curve x=1+3t2,   y=4+2t3       0≤t≤1

Q: Find the points on the curve x^2y = 2 nearest the origin.

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Q: The x coordinate of the point of intersection between the two curves Y e14a and y = 1 is = x =

A: Given: y=e14xy=1

Q: Find the length of the curve. x = 4t, y =- 3/2,0st s9 0 st 122 3

A: Arc length of the given curve

Q: The x coordinate of the point of intersection between the two curves Y = e2lx and y = 1 is

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

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

Q: Find the length of the curve x = y^4/16 +1/(2y^2) between y= -3 and y= -2.

A: we have to find the length of the curve . I have explained in details please see the explanation and…

Q: Find the length of the curve x = 1+ 312, y = 4 + 213, 0 <t < 1. Length =

A: Given,

Q: Find the exact length of the curve.   y2 = 4(x + 4)3 , 0 ≤ x≤ 2 , y&gt; 0

A: Given: y2=4x+43,0≤x≤2,y&gt;0 To Find: Find the Exact length of the curve. Concept: Length of the…

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

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Q: (b) Eliminate the parameter to find a Cartesian equation of the curve.   for  −5 ≤ y ≤ −1

A: The parametric equation of curve are x=1-t2 y=t-3

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

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Q: Find the length of the curve y= 3/2x^2/3 from x = 1 to x = 8

A: Given,         The length of the curve y=32x23 from x=1 to x=8.We know that,         The length of…

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 length of the curve. (2t + 1)3/2 2.y = Osts 16 x= 3

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Q: Find the exact length of the curve. 2 3/2 y = = 12, 0<xs 1

A: Given ,y=23x32Aim: To find length of curve in [0,1]We know that…

Q: Q3) Find the local maximum and minimum points of the following curve: y = 3x + 2x? - 4x + 2

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Q: e length of the curve y = V 4 – x2, 0 <x< 2. ing the shape of the curve.

A: Use the arc length formula to find the length of the curve.  y=(4-x2)1/2 , 0&lt;=x&lt;=2

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= -y², 1≤ y ≤9

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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 exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y &gt; 0

A: Given: Find the exact length of the curve.

Q: Explain the steps required to find the length of a curve x = g1y2 between y = c and y = d.

A: It is given that x=gx for c≤y≤d.

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

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Q: Find the exact length of the curve. y2 = 16(x + 4)3, osxs 2, y > 0

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

Q: 1. Find the length of the curve 4Y, 1<Y<2 8

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

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Q: Find the length of the curve x = y2 — 2y, 0 ≤ y ≤ 2.

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Q: Find the length of the curve x = (y3/33) + (11/4y) on 3≤y≤5.

A: Consider the given curve f(y) and find the derivative w.r.t y.

Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

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Q: Find the length of curve x = t², y = t³ from x = 0 to x = 5.

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Q: Find the exact length of the curve.y = 1 + 4x3/2, 0 ≤ x ≤ 1

A: Given curve is

Q: Find the exact length of the curve. y2 = 16(x + 5)3,   0 ≤ x ≤ 1,  y &gt; 0

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Q: Find the length of the curve y = x - lnx ; 1≤ x ≤ 4.

A: Given curve y=x-lnx  On closed interval [1,4] Length of the curve L=? Step 1 Find the derivate of…

Q: Eliminate the parameter to find a Cartesian equation of the curve for −2 ≤ y ≤ 4. x = t2 − 3,…

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Q: At what part of the curve 2x2 + y? = 8 does it assume the highest value?

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Q: i) Find the exact length of the curve x5 1 15 4x3 y= + 1 < x < 2,

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

A: Differentiating with respect to y, we get

Q: Q4/ Find the length of the curve y () (x² + 2) from x 0 to x= 3.

A: The length of a curve f(x) on an interval [a,b] is: L=∫ab1+(f'(x))2dx Where f'(x) is the first…

Q: Find the exact length of the curve. y = 5 + 8x/2, 0<x<1

A: Topic = application of derivatives

Q: Find the coordinates of the point in the curve y = 12x – 2y + 23 that is nearest to the point P(10,…

A: Given curve: y2=12x-2y+23 The point is  P10,4 To find: The coordinates of the point on the curve…

Q: 3 y Vsec4t – 1 dt, 0, 4 4 Find the length of the defined curve. (write your solutions in detail and…

A: To find the length of the defined curve: y=∫0xsec4t−1dt,  −π4≤x≤π4

Q: SOLVE STEP BY STEP Evaluate the length of the curve x = 5 - Vy+1 , 0<ys 3

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Q: The x coordinate of the point of intersection between the two curves 12x y = = el2# and y = 1 is x =

A: Our Aim is to find the x coordinate of the points of intersectionbetween the two curves y=e12x and…

Q: Find the lengths of the curves x = (y/4)2 - 2 ln (y/4), 4 ≤ y ≤12

A: Given equation of the curve - x = y42-2lny4           .....................(1)Given intervals = 4,…

Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

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

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