1. Find the exact length of the curve. (a) y² = 4(x+ 4)°, 0<1< 2, y >0 (b) y = In z, 1

Q: Find the exact length of the curve 2 y = (x²– 1)3/2, 1< x < 3. Arc length =

A: We will use the arc length formula to.find the arc length of the curve.

Q: (b) Investigate where the curve y = xy4 - x² is concave up and concave down?

A: Given curve is y=x4-x2 find the concavity of the given curve

Q: 4) The lemniscate curve (x? + y²)² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted…

A: Introduction: The tangent line (or actually tangent) to a aircraft curve at a specific function is…

Q: Let the curve C be the mirror image of the parabola y" the line x+y + 4 = 0 If A and B are the…

A: Given: Parabola:y2=4xLine:x+y+4=0   A and B are the points of intersection of C with the line y=−5…

Q: The length of the curve defined parametrically by: x = e*cost, y = e' sint, 0 Sts is equal to:…

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Q: Set up an intergal of the Curve for the length 3T Y%3DZE* sin (x), O4 xE 2

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Q: 1. Find the equation of the tangent plane to the given surface at the point (0,-1,-2). * 2r2 „2

A: by using formula of plane

Q: 1. Find the length of the curve y = 3 xi - () x , from x = 1 to x = 4.

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Q: 1 Find the exact length of the curve: r(t) = , 6.

A:

Q: 1. Consider the curve C given by y = 5 + 2x3/2, 0 < x <1. (a) Find the length of the curve C.

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Q: Find the exact length of the curve. = 플Vy (y-3), 4sys 16 3

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Q: 1 Find the length of the curve x= from y 1 to y=2. +. 16y

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Q: 17. Calculation S,(x - y+ ix2) dz, where C is the curve form 0 to 1+i.

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Q: 1 2. Find the length of arc of the curve x = + from the point where y = 1 to the point where y = 2.…

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Q: 4. Sketch the graph of the curve y = Vĩ and the tangent line in the Cartesian Plane using a scale of…

A: Given curve y=x

Q: Show that the exact length of the curve below is y = Vr - r² – sin ¬1 (V7)

A: SOLUTION-

Q: Зп 2. Find the exact length of curve y = ln (cosx), * < x < n. 4

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Q: 10. If the curves f(x, y) = 0, y, z) = 0 touch, show that at the point of contact, dr dø dr dø dy dx…

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: Given the curve y² = 5x – 1 at point ( 1,-2 ) , find the equation of tangent and normal to the…

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Q: 1. Find the length of the curve: y = x/2 , x = 0 to x = 4

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Q: Find the exact length of the curve. x = 7 cos(t) – cos(7t), y = 7 sin(t) – sin(7t),

A: given : formula for arc length is as below :

Q: ind the equations of the tangent line to the ellipse x² + 4y² + z² = 9, x = 2 at the point (2, -1,…

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Q: 7. Find the slope of the tangent to the parametric curve x = t - lnt, y = t + lnt at the point (e +…

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Q: y = e*, 0<z<1.

A:

Q: Compute the length of the curve given parametrically by x=1/3t^3 and y=1/2t^2 for 0 less or equal to…

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

A: we need to evaluate the Length of curve where  0 ≤ x ≤ 1

Q: 7- Find the leng thof the Curve arce 34 from to y=4

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Q: Below is a plot of a cardioid, which consists of points satisfying x² + y² = (2x² + 2y² - x)² 0.6…

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Q: Consider the curve y = zy+1. What is the value of- dz at (0, 1)? None of the given choices

A: The solution for the above question is as shown below.

Q: 1. Make the curve y = ax°+ bx² +cx +d through (0,3) and have at (1, 2) a point of inflection with a…

A: To make the curve.

Q: Find the exact length of the curve. y = ln(cos x),   0≤ x ≤ π/3

A: Formula used: L=∫ab1+dydx2dx

Q: 2. Determine the arc length of the given curves a) y =+ 1<y< 2 3

A: s=∫y1y2 1+x'2 dyy'=3y23-14y2y'=y2-14y2s=∫121+y2-14y22dys=∫121+y4+116y4-2×y×14y dys=∫12y4+116y4+12…

Q: The length of the curve y = Ey3/2 between x = 0 and X 1 is %3D

A:

Q: Can there be a curve satisfying the following conditions? d2y/dx2 is everywhere equal to zero and,…

A: To check: The curve satisfying the given condition or not.Explanation:

Q: 5 1 from y = 1 to y= 2. 3 12y Find the length of the curve x =

A: NOTE: Refresh your page if you can't see any equations. . for simplicity interchange the variables

Q: 3. For the curve x – xy² = 8e²4, do the following | a) Verify that the point (2,0) is on this curve.

A: Given, curve x3-xy2=8e2y

Q: 4. Find the length of the arc of the curve 8y = x + 2x-2 from the point where x = 1 to the point %3D…

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Q: 2 Consider the two graphs y = 2x and x - xy + 2y = 28. The absolute value of the tangent of the…

A: Introduction :

Q: Find the exact length of the curve. x = 9 cos(t) - cos(9t), y = 9 sin(t) - sin(9r), Ostsn 9 cos (47)…

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Q: 4. Find the are length of the curve from y=1 to y-4

A: The given curve is x=18y4+14y-2 from y=1 to y=4

Q: 3x + xy? 2y + x?y dy dx

A:

Q: Find the length of the arc of the curve x2 + y2 = 64 from x = -1 to x = -3, in the second quadrant

A: The curve in the second quadrant can be represented as, x2+y2=64y=64-x2   The derivative of the…

Q: The siope of a line tangere to the curve y=fx)at(3 4) 0f iz cists) equais

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Q: ind the exact length of the curve. X = 8 4y2' 1sys 2

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Q: Find the exact length of the curve. x = Vy (y - 3), 9 < ys 25

A: It is given that x=13yy-3, we need to find the exact length of curve.

Q: The length of the curve defined by x =÷(y² + 2)E, y E [0,3] %3D

A: Arc length=∫ab1+dxdy2dy

Q: Find the length of the arc of the curve x2=(y-2)3 from P(1,3) to Q(8,6).

A:

Q: et +e- find the length of the curve h(x) = from r = 0 to z = In 2.

A: The standard formula for arclength will be used in solving this problem. The typeset solution is…

Q: Question 5 Find the length of the curve. +- from y = 1 to y = 2 %3D 4y2 2

A: