Find the length of the curve. Round to two decimal places. 1 y = 3 5

Q: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

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A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

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Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 36, (1,6) %3D

A: We will find first slope of tangent and then from the slop and tangent and point will find a…

Q: Determine the length of the tangent to the circle x? + y? - 4x - 5 = 0 from (8, -2). * 2.89 5.57…

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Q: If x is the length of a tangent segment in the diagram,find the values of x and y.

A: We know that,  tangent-secant theorem describes if a tangent segment and a secant segment are drawn…

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: Answers

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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: Find the exact length of the curve. y? = 64(x + 5)3, 0sxs1, y > 0

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Q: Find the value of x below. Assume segments that appear tangent are. 2x + 10 3x + 7

A: From the given figure

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Q: Find a curve y = ae to the data : bx 0. 4 y: 5.1 10 31.4

A: Given:         Data is given.

Q: d. Find the point where the tangent line is vertical.

A: For (d), We know that the vertical tangent to a curve occurs at a point where the slope is undefined…

Q: Find a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5…

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Q: Find a parabolic curve to the following data. x : 1 3 4 y:1090 1220 1390 1625 1915

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Q: Fit a second-degree curve to the following data and estimate the value of y when x = 80. Put the…

A: From the given information, X=x-4010Y=y10 Consider, x y X=(x-40)/10 X^2 Y=y/10 10 20 -3 9 2…

Q: Find the length of the curve, L. y? = 64 (x + 1)* , 0 0 L =

A: The curve is y2=64(x+1)3, 0≤x≤3 , y&gt;0

Q: Find an equation of the tangent line to the curve at each given point. x = t? - 4, y =t? – 2t at (0,…

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Q: Determine the slope of the curve y= e^4x at the point x=O? * 1 -4

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Q: (c) Find the points on the curve xy? = 54 nearest the origin.

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Q: Find the exact length of the curve 3 + 9t? for 0 <t < 4 2 + 6t3

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Q: Find the length of the curve r = 02 from 0 = 0 to 0 = 14.

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Q: Find an equation of the tangent line to the curve at each given point. x = t? - 4, y = t2- 2t at (0,…

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Q: ) Find the length of the curve determined by 7 (t) = 2t7 + V3t27 + t

A: To find the length of the curve

Q: Q5 Find the length of the arc of the curve in the given range, уз + 3 1 25y + 5y2 + 0 <y< 3 4(y + 5)

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Q: Find a curve y= ae* to the data : bx 0. 2 4 y : 5.1 10 31.4

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Q: Find the exact length of the curve. 36y =(x+4). 5 5 x s 6, y 20

A: Given: 36y2=(x2-4)3,  5≤x≤6,  y≥0 Arc length of curve y=f(x) on [a, b] can be calculated by…

Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

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Q: AB is the midsegment of A XYZ and PQ is the midsegment of AXAB. What is the relationship in length…

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Q: What should be the curve to approximate the value of V8? x +6 =0 OB) 1,4142136 x-6 0

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Q: (a) Find the slope of the tangent line to the circle x? + y? = 25 at the point (3, 4). (b) Which…

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Q: Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

A: We have to find the closet point to the point    (9, 0)

Q: Find an equation of the tangent line to the graph at the given point. x?y² - 9x² – 4y² = 0, (4, 2/3)…

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Q: Ex. 2: Find the length of the 2/3 curve

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Q: . For what value(s) of x is the tangent to y = 5 (3x-12)4 horizontal? A) -103, 680 B) -4 C) 4 D)…

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Q: Q5 Find the length of the arc of the curve in the given range, х%3D25у + 5y? + y3 1 0<y<3 3* 4(y +…

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Q: Find the slope of the tangent line to the curve – 4x + 4ry - 4y = 4 at the point (– 1, – 1).…

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Q: fuicd an eqantion for the tengat to thte Ceore at the given poit. The sletch thte curve aud tangat…

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Q: 8- Find the lengthf the Curve are 24xy=x+48 Hem X=2 tox=y Hint The eure Can be written as fettow +2X…

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Q: Find an equation of the tangent line to the graph of y? = 4(x - 5) at (6,1).

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Q: Find the tangent line and the normal line to the curve at the given point. x²y? = 36, (-1,6)

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Q: WWhe cycloid SO of arch of the cycloidis genorated as t varies from

A: To find the area.under the arch

Q: write equation for the normal Iine an to the circle with cr=3) at (x=J5)

A: Let the equation of circle                                          x2+y2=r2…

Q: Find the length of the curve r(t) = for 6 <t<15. Give your answer correct to two decimal place…

A: Here we have to find the length of the curve r(t)=-2cost, -2sint, -t for 0≤t≤15…

Q: Q5 Find the length of the arc of the curve in the given range, y3 + 3 1 x = 25y + 5y2 + 0sys 3 4(y +…

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

Q: 4t, 5 for –2 <t < 4. Find the length of the curve 7(t) =

A: We will use the following formula.

Q: Estimate the slope b t the pótst a,where *3 9. X= 2 feck)- Estimate the arca above the x-asxis and…

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Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

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