2. Find for the curve dx x²y3 – 2xy = 6x² + 2y³ + 1 -

Q: 1 find the length of the curve x = 7y* + y2, from y = 1 to 24 y = 2.

A:

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: Find 2 for the curve dx x²y³ – 2xy = 6x² + 2y3 + 1

A: Topic = Derivative

Q: Find the exact length of the curve. y4 1 X = 8 1sy< 3 4y2"

A: Here the formula of length of the curve is:

Q: Find the abscissa on the curve x²=2y which is nearest to a point (4, 1). А. 0 С.2 В. 1 D. 3

A: Use the distance formula then minimise using derivative.

Q: Find an equation of the tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0. а.…

A: Topic:- application of derivatives

Q: Find the points on the curve x2 + xy + y2 = 16 which are nearest and farthest from the origin.

A: Given curve is g: x2+xy+y2=16 If x,y is any point on the curve g: x2+xy+y2=16 Then square of the…

Q: Find the length of the curve y2 = ln x, -1 ≤ y ≤ 1.

A:

Q: Find the equation of the tangent to the curve xy2 + y³ = 6x + 3y at (1,2)

A: The curve is given as x y2 + y3 = 6x + 3y, the objective is to find the equation of tangent line at…

Q: Find the equation of the tangent line to the curve 3y + 2x² = x²y² + 7 at (2, 1) .

A:

Q: Find the exact length of the curve. y =  3 +1/2 Cosh 2x,   0≤ x ≤ 1

A:

Q: Find the exact length of the curve. y = 7+ cosh (2x), 0 ≤ x ≤ 4 1 2

A:

Q: 2- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = C

A: Given problem:- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = 0

Q: Find the point on the Curve y rx that is closest to the point (2,0)

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Q: (d) The curve y = x – x² from r = 0 to r = 2

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Q: y = 4 1 ,2 In x, 1<x < 2 2 -

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Q: Find the equation of the line tangent to the curve x - 3xy + 4x = 2 at x = 1. Зу - 3 %3D 4x - 4 -5y…

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Q: Find the length of the curve 3y = 2(x² + 1)2 from x = 0 to x = 3.

A:

Q: Find the slope of the tangent line to the curve1x^2+1xy−3y^3=−24at the point (−2,2).

A:

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: X = 8 1 + 1 < y< 2 4y2'

A: We find the length of the given curve by using the formula of length of the curve. The length of a…

Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

Q: Find the equation of the tangent line drawn to the curve y - 4x* – 6xy = 0 at the point (-1,3).…

A:

Q: Find the length of the curve y = In(1 – x), 0sxs.

A: Given: y=ln(1−x2)0≤x≤12

Q: Find the point on the curve y = Vx closest to the point (1,0).

A:

Q: Find the exact length of the curve y = In(1 – x²), 0 Sx S

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Q: dy Find for the curve x-2.x'y-20y 2 at point (-2,1). de

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Q: B. Find the length of the curve y= x2 from x = 0 to x = 7.

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Q: Find the point on the curve y = Vx +1 that is closest to the point (5,0)

A: We will use second derivative test to find the smallest distance among point (5,0) and curve

Q: Find the exact length of the curve. y = 4 =Dx2-을 In(x), 1sxs6 =

A:

Q: 8. Find the tangent lines to curve y = x* + 2x – 2x? – 3x + 3 that is perpendicular to line x- 3y =…

A: Given curve, y=x4+2x3-2x2-3x+3 And the line x-3y=2. The objective is to find the tangent lines to…

Q: Find the exact length of the curve. 1 + X = 8 , 1< y< 2 4y2'

A: It is given that,       x=y48+14y2,   1≤y≥2we have to find the exact length of the curve.   So, we…

Q: Let C be the curve y = x³ – 3x2 + 4x – 1 joining the points (1, 1) and (2, 3). Find the value of…

A: We need to find value of integral.

Q: Find c so that the line y = 4x + 3 is tangent to the curve y= x^2 + c?

A:

Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t = 0 to t = 3.

A: To find the length of the curve parameterized by x=2+3t2 and y=3+2t3 from t=0 to t=3.

Q: Find an equation of the tangent line to the curve y? = x3 + 3x? at thu point (1, 2). 2у + 3x 3 3 3x…

A: We have to find the equation of tangent line.

Q: Find for the curve dx In (2x) + 5xy + y = 3.

A:

Q: Let C be the curve y = 2/r for 1.3 <x < 3.2.

A: Given that: y=2x

Q: Find the length of the curve y = 4 1 between x 1 to x 2. %3D &x2

A: It is length of curve.

Q: Find the length of the curve y = ln (1 - x2), 0&lt;=x&lt;=1/2

A: Given:

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

A:

Q: Find the Giniindex for the lorenz curve L (X)= 0.3X + O=7X 11

A: Given the Lorenz curve Lx=0.3x2+0.7x. Find the Gini index of the Lorenz curve.

Q: Find the length of the curve defined by Y=5x^3/2+9y from x=1 to x=8.

A: Given that

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

A: Given, x=y48+14y2,1≤y≤2

Q: Find [(dy)/(dx)] if the curve is defined by 7 x² e7 Y + 6 y2 e2 x = 16. %3D [(dy)/(dx)]

A: Given:     7x2 e7y + 6y2e2x = 16

Q: py*(1 + x*)dx + 2ytan xdy ,where C is closed curve xi +yi = 1

A:

Q: 3. Find the length of the curve y = x - In a, 1< x < 4.

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Evaluate [x²z dx - yx² dy + 7 dz along the curve C shown in the figure. с 4 X [x²zdx - yux²2 dy +7…

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Q: find the under the curve y=7-t^2 and above the t-axis

A: