A ski run follows the curve of y = 0.01x - 0.6x + 9 from x = 0 m to x = 30 m What is the angle between the ski run and the horizontal when x= 20 m? .... The angle is approximately (Round to the nearest tenth as needed.)

Q: I Find the acute angle between the two curves xy = 3 and x2 = 9y

A: Given data: First curve xy=3. Second curve x2=9y.

Q: Q/ Find the angle between two curves: 3 y = ==- x? , y = x? 2

A: The angle between the two curve is                                         tan θ =m1-m21+m1m2…

Q: Find the length of the arc of the curve in the given range, y3 1 x = 16y + 4y? ++ 0sys4 4(y + 4) '

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Q: The curve ver = V1 + sin20.

A: Solution :-

Q: Find the length of the curve. Vzti + e'j + e-tk, 0 <ts 3

A: Given the curve

Q: Find the coordinates of the point(s) on the curve y = Va + 3 that are closest to the point (8, 0). O…

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Q: = V4 cos" : – 1, y = 10 < x < 30

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Q: Evaluate x ds, where C is a. the straight line segment x =t, y =. from (0,0) to (6,2) b. the…

A: We need to evaluate ∫Cx ds

Q: Find the length of the curve. r(t) = ( 8t, t², ), 0 <t< 1 %3D 12

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Q: Find the length of the curve. r(t) = √√2ti + etj+ek, 0≤t≤7

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Q: the sloper of the curve 2y = ax? +b at (1,–1) is – 1.Find a, b

A: We have given the sloper of a curve at (1, -1) is -1 .  We have to find the value of a and b.

Q: Find the length of the curve. Vzti + e'j + e-tk, 0 sts 3

A: Given data:     The given expression is: r(t)=&lt;21/2ti+etj+e-tk&gt;. The given limits of t are:…

Q: Set up an intergral for the length of the curve, 04X y%3DZE* sin cx), O4 XE

A: Explanation of the answer is as follows

Q: Evaluate x ds, where Cis с a. the straight line segment x = t, y = = 737₁1 3' b. the parabolic curve…

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Q: Find the exact length of the portion of the curve shown in b r = 0+ 2 2 (i)

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Q: A snow tubing hill is 400 ft long and has a 75-ft vertical drop. Find the average angle that the…

A: Given : A snow tubing hill is 400 ft long and has a 75 ft vertical drop. To find : Find the average…

Q: What is the length of the latus rectum for the curve, (x + 3)2 + 4(y – 1)² = 4 а. 2 O b. 1 О с. 4 O…

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Q: If a curve C is given by r(t) = ⟨t, t2⟩ , what is | r'(t) | ?

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Q: Use the arc length formula to find the length of the curve y = 5 - 4x, -2 s x S 4. Check your answer…

A: We have to use arc length formula and distance formula to find length of curve.

Q: A simple curve is shown below. Given: A and T (tangent distance) Required a.) E b.) M c.) Length of…

A: A simple curve is given. Given - Deflection angle=∆Length of tangent =T To find - (a) EE is length…

Q: At what point do the curves r¡(t) = (t, 1 – t, 3 + t²) and r2(s) = (3 – s, s – 2, s²) intersect?…

A: Given Data: Curve 1: r1t=t, 1-t, 3+t2 Curve 2: r2s=3-s, s-2, s2   For the intersection point,…

Q: Q3/ Find the angle between two curves: 3 x2 , y = x² y = 2

A: Please see the answer in step 2

Q: Find the path of the sloping path y = x² + c such that θ = π / 4 is the angle between the tangents…

A: Slope = 1  Point are (a,b) So equation of tangent      Y-b = 1.(x-a)

Q: C3. Find the length of the of the curve x= 1 from y = 1 to y = 2 %3D 4 8y?

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Q: Find the exact length of the curve. x = et − t,    y = 4et/2,    0 ≤ t ≤ 2

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Q: Evaluate ∫C x ds, where C is the parabolic curve x = t, y = t2, from (0, 0) to (2, 4).

A: Given: Parabolic curve x=t, y=t2 from (0,0) to (2,4)

Q: Find the exact length of the curve. x = et − t,    y = 4et/2,    0 ≤ t ≤ 5

A: We will use arc length formula to solve this questions

Q: The curve assumed by a heavy chain or cable is: y = C cosh %3D If C = 50 Calculate; The value of…

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Q: Find the exact length of the curve. y = In(sec(x)), 0<x< 1/3 In (2 + v 2 ) – - In (1)

A: Since you have posted 2 questions we will solve one for you please resubmit the question. Given:…

Q: Suppose the angle formed by the line y = 4x and the positive x-axis is 0. Find the tangent of 0. %3D…

A: The objective of the question is to find the tangent of angle that is formed by the line y=4x and x…

Q: 1 1-Зу?, /1 – 3y, x = 0.05 < у < 0.2 L = %3D

A: As per the guidelines in case of multiple questions I am.supposed to do the first problem. Kindly…

Q: For what values of a and b is the line-5x +y b tangent to the curve y = ax when x = 37 a = b D %3D…

A: Given: Equation of line is -5x+y=b. Equation of curve is y = ax3 .

Q: What is the length of the curve I= cost +tsint, y=sint - tcost, (0 <t< 2n) ?

A:

Q: In which direction is the curve x = -2 sin t, y = 2 cos t, for 0 ≤ t &lt; 2π, generated?

A: x = -2 sin t, y = 2 cos t Table for values of x and y: t x y 0 0 2 π 0 -2 π2 2 0 2π 0 2

Q: Find the length of the arc of the curve in the given range, y3 +. 3 1 x = 16y + 4y² + 0 < y< 4…

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Q: Find the length of the curve. 2ti + etj + e k, 0<tS 4

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Q: Find the length of the arc of the curve in the given range, x = 16y + 4y2 + ン3 +. 3 4(y + 4) 0 < y<…

A: In the question we have to find length of Arc of the curve.

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 6x - y = 3, Sx + y=…

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

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Q: At what points do the curves y=x2 and y=√x intersect? Find the angles of intersection between the…

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Q: Explain how to find the length of the curve                         r(t) = ⟨ƒ(t), g(t), h(t)⟩, for a…

A: To Determine: Explain how to find the length of the curve Given: we have rt=&lt;f(t),g(t),h(t)&gt;…

Q: ind the the exact length x = et – t, y = 4e/2, |

A:

Q: Find the length of the arc of the curve in the given range, y3 1 x = 16y + 4y² + 3 0 <y< 4 - 4(y…

A: we have to find th length of the arc for the given curve .

Q: At what point do the curves r₁(t) = (t, 5 − t, 35 + t²) and r₂(s) = (7 — s, s − 2, s²) intersect?…

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Q: A ski run follows the curve of y = 0.01xf-0.8x + 16 from x=0 m to xE 40 m What is the angle between…

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Q: Let the line y = mx + 2 be a tangent to the curve y = In-, at the point P. i) Find the coordinates…

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Q: Evaluate S,lz| dz for the curves C1 and C2, both of which begin at a = 1 and end at b = -1. The…

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Q: At what point do the curves ri(t) = (t, 4 - t, 63 + t) and r2(s) = (9 - s, s - 5, s?) intersect? (x,…

A: Introduction: When two vector-valued functions are given, their point of intersection can be…

Q: At what point do the curves r;(t) = (t, 4 – t, 24 + t2) and r2(s) = (6 – s, s – 2, s2) intersect?…

A: The curves are r1(t)=t, 4-t, 24+t2 and r2(s)=6-s, s-2, s2