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

Q: Find the length of the curve x = 49 sec* t – 1 dt with 3 - - 6. Length is

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Q: Find the length of the curve on y=2x^(3/2) from x=0 to x=1

A: Explanation of the solution is given below...

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

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Q: 2. Find the tangent lines to the curve y = x4 – 14x2 + 17x + 40 perpendicular to the line x = 7y +…

A: Given, y=x4-14x2+17x+40 Now differentiate with respect to x we get, dydx=4x3-28x+17 The tangent is…

Q: Find the length of the curve. 33 X = x=11t°, y= ², t,0stsv3

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Q: Find the curve length 3 y = 1+ 6x7,0 <x<1

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Q: Please help me find the length of the curve

A: We\'ll use arc length formula with a=pi/2, b=2pi/3.

Q: Find the length of the curve y = V4t2 – 1 dt, 1<x<2 O 3 O 8 O 104 3. O 15

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Q: Find the length of the curve y2 = x3 from the origin to the point where the tangent makes an angle…

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Q: Find the length of the curve y 2ln(x) from x 1 to x =4. %3D

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

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Q: to the curve y = F(x) at the point with x %3D

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Q: The Normal to the curve 2x² – y² = 1 at the point (1,1)

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Q: Find the point on the curve y=x√x for which the tangent line to the curve is perpendicular to the…

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

A: A detailed solution is given below

Q: Find the slope of the tangent line to the curve - 3x + lay+ 3y = 199 | %3D | at the point (1, – 4).

A: We are given a curve and we need to find out the slope to the tangent line at the point (1,-4). For…

Q: find the tangent line to the parabola (x + 2y)^2 + 2x – y – 3 = 0, parallel to the line x – 4y = 2.

A: Given the parabola x+2y2+2x-y-3=0..............i  Determine the slope of given line x-4y=2…

Q: Make the curve y= ax2+bx+c pass through (2,1) and be tangent to the lane y= 2x +4 at (1,6)

A: The given curve passes through (2,1) ⇒1=4a+2b+c                                    (1) And the curve…

Q: Find the length of the curve y=lnx from x=1.5 to x=3.

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Q: a point on the cor ve y=x² - 2x -3 at which is parallel to Find the tangent line the X-axis

A: Given query is to find the the point where tangent line paray to x axis.

Q: Find the points on the curve y = 2r3 – 3x2 – 12x + 20 - where the tangent is parallel to the x-axis.

A: A straight line parallel to x-axis have slope 0.

Q: Find the equation (in terms of x and y) of the tangent line to the curve r=4sin2θ at θ=π/3. y=?

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

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

A: Given: y=ln(1−x2)0≤x≤12

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

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

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Q: Find a point on the curve y=x2−2x−3 at which the tangent is parallel to the x−axis.

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Q: Find the length of the curve (Sketch and Solve) One branched of the curve 9y2=4x3 from x = 0 to…

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Q: At what point is the tangent line to the curve y = 2x perpendicular to the line x – - 2y – 8 = 0? -…

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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: B. Find the length of the curve y = x² from x 0 tox = 4.

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Q: Find the exact length of the curve. y = In(sec(x)), 0 <x< a/6

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Q: Find the angle between the curve 2y=e-x/2 and y-axis

A: we will see in next step

Q: find the slope of the curve x = e^-tcost2t, y=e^-2tsin2t at the point t= 0

A: find out the slope of the curve at t=0

Q: Find an equation of the tangent plane to the graph z = Væ + y³ nt (8, 2, 4).

A: We know that equation of tangent plane to the graph z=f(x,y) at point (a,b,c) is…

Q: Find the slope of the tangent line to the curve (r² + y² – 1)3 – r²y³ = 0 at the point (–1,1).

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Q: Evaluate the length of the curve: y = 3x + sinx, 0 ≤ x ≤ 1.

A: Let L be the length of curve  F(x) = 3x + sinx

Q: At what point is the tangent line to the curve y = 6x² perpendicular to the line x + 2y – 8 = 0?…

A: Follow next step

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the tangent line to the curve (x-3y)2  + 8x + 12 = 0 at the point where y = 0

A: First differentiate at point then use equation of tangent line

Q: At what point is the tangent line to the curve y³ : = 6x² perpendicular to the line 2x + y = 2 = 0?…

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Q: Find the exact length of the curve. y = In(sec(x)), Osxs- 6

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Q: Find the tangent line to the curve (x-3y)²+8x+12=0 at the point where y=0

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Q: Find the length of the curve. y= x? + from x = 1 to x = 5

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the tangent lines to curve x² + 2y2 = 9 that is perpendicular to line 4x – y = 6? %3D

A: Given the equation of line is 4x-y=6.   Rewrite the equation in slope intercept form. y=4x-6   Thus,…

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

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Q: What is the length of the -3< x S3 segment of the y = v36 – x2 www vwwb w e curve?

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Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7