Find the exact length of the curve. 1 y = 4 -x² - In(x), 1< x < 8 2

Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizonta? A none of the given…

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Q: Find the exact length of the curve. y =  1/4 x2  - 1/2 In x,   1≤ x ≤ 2

A: Consider the given curve Here the objective is to find the exact length of the given curve

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

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Q: Find all values of the parameter pp for which the line y=2x+1 is tangent to the graph of y=px2+3.…

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Q: given curve about the x-axis. 1. y = 7x, 0 < x <1

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

Q: For what x-values that the curve ?(?) = (1/3)x3-x2 have horizontal tangent lines?

A: fx=13x3-x2 Differentiating with respect to x, we get f'x=133x2-2x    ∵dxndx=nxn-1=x2-2x

Q: Find the exact length of the curve over the given interval. y? = 4(x + 4)*, along 0 0.

A: we have to find the exact length of the given curve

Q: 98. Find the points on the graph of y = 2x6 – x* - 2 at which the tangent line is horizontal.

A: Find the points on the graph of  y=2x6-x4-2at which the tangent line is horizontal.

Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

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Q: Find the exact length of the curve. =글Vy (y-3), 16 <y< 25 X =

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Q: Q1. Find the length of the of the curve y -x2 X2 from x = 0 to x = 3.

A: Given curve is, y=13x32-x12 To find the length of the curve from x = 0 to x = 3

Q: Find the values of k for which the line y+ kx – 2 = 0 is a tangent to the curve y = 2x? – 9x +

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Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =…

A: Graph and tangent line

Q: Find the exact length of the curve. Vy (y - 3), 16 < y < 25 X =

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Q: 6. Find the length of the curve y =-+ from x =1 to x=2. 9. 28x

A: The curve is given by the equation, y=x99+128x7  and the point is given from x=1 to x=2. To find :…

Q: Find the exact length of the curve y=1+6x% for 0<xsl

A: We have to find the exact length of the curve y=1+6x32 for 0≤x≤1.

Q: 3. Find the length of the curve y =x* +÷x¯² from x = 1 to x = 4

A: 3 Given function isfx=y=18x4+14x-2  from x=1 to x=4now we can writen as fx=x48+14x2 on 1,4The lenght…

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

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Q: 0. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

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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: The tangent line to the graph of y 5x-x' when x 3 is y -22x +54 OB 8. y-12x +54 y=-9x+5 OD.

A: The equation of the curve is given by y = 5x-x3 To evaluate : The equation of the tangent line to…

Q: find the length of the curve on the given interval: y = 4/3 (x+1) ^ (3/2), [0,3]

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Q: Find the exact length of the curve. y = (1 + x2)3/2, 0 < x < 2

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Q: Find the length of the following curve. 3 y = 2x from x = 0 to x= 1 The length of the curve is

A: Given curve y=2x32 The length of the curve have to be found from x=0 to x=1 The length of curve…

Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x

A: (a) Given- y=x2e-x To Find- The properties of the curve and sketch the curve.

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: 3 Q1. Q1. Find the length of the of the curve y = x2 X2 - from x 0 to x 3.

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Q: For x &gt; 0, sketch a curve y = ƒ(x) that has ƒ(1) = 0 and ƒ′(x) = 1/x. Can anything be said about…

A: We have to find f(x) first. c= integrating constant

Q: Find the length of the curve. 30) x = 3 ty 3/2 - y 1/2 from x = 16 to x = 25

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Q: 1. Find the length of the curve y = x2 from x 1 to x = 4.

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

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

A: use derivative for finding the exact length.

Q: 7. Find the length of the curve y= x'+ I from x = 1 to x . 12x Give your answer as a simplified…

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Q: 1. Find the slope of the given curve at the indicated point a. y = x³ – 4x? + 3, at x = 2 b. y =, at…

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Q: Find the exact length of the curve over the given interval. 4 3/2 X= 3 1sys4

A: Given curve is x=43y32, 1≤y≤4

Q: Which of the following is/are points on the curve y = x4- 8x3 + 22x2 - 24x + 9 where the tangent…

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Q: Find the exact length of the curve. y = = 0 < x < 6

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Q: 5. Find the length of the curve y = 2(2+ x)², 1<x<8 %3D

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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: 3. Find the length of the curve y =- 6. 1 from x=2 to x=3 2x

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Q: 13. Show that there are no tangents to the curve y = can be concluded about the graph? 2x+1 4x +3…

A: We have to prove that negative slope is not possible for graph.

Q: For what values of x do the tangents to the curves y = (1 +x')² and y = 2r6 have the same slope? X =…

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Q: Find the exact length of the curve. y ‹ = ²(1 + x²j³/2₁ 3/2, 0≤x≤ 5

A: The objective of the question is determine the length of the given curve.

Q: For what value of x is the tangent line to the curve y= x2 -6x +5 horizonta? A -3 B C) none of the…

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Q: 3) Find the exact length of the curve y = x² – In x for 1< x < 2. 1„2

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Q: Find the length of the curve y =1+6x?on the interval 0<x<1.

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Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: 10. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

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Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.

Q: EX Find the point the curve y=x3+x²-l where the tamjent on is parallel to the X-oaxis

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Q: Where on the curve of 1 does the tangent have the greatest positive slope? y = 1+ x? O 1) 3 3 O 2) 3…

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