Find the length of the curve r = 1-2sina a. 13.95 b. 13.36 с. 12.50 d. 13.55 е. 13.23 O a O b Ос O d O e

Q: Find the curvature k of the curve C : 16 =1 at the point (0, 3)

A: 1. convert the equation into parametric form 2. use formula for curvature written below

Q: Determine the length of the curve r(1) = t*i+ t°j – 5k, 4 <1 < 1. %3D Give your answer correct to…

A: Given curve is  r(t)=t4i+t6j-5k,    1≤t≤4

Q: Find the curvature K of the curve at the point P. r(t) = 7ti + 9tj, P(-7, 9) K. =

A: The given curve is, r(t)=7ti+9t2j and the given point is P(-7,9) The formula of the curvature…

Q: 6. Find the length of the curve r = 1+ cose

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Q: 4) The lemniscate curve (x? + y²)² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted…

A: Introduction: The tangent line (or actually tangent) to a aircraft curve at a specific function is…

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

A: Given the curve

Q: Find the length of the curve. The spiral r = 90,0 < 0 < T C 1+ VT2 + 1 9. T² +1+ ln A 27 a? 2 6 B…

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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: Find the exact length of the curve. y? = 16(x + 4)3, Osxs 2, y > 0

A: Given data:   The given expression is y2=16(x+4)3. Th given limits of x is [a,b] =[0,2].   The given…

Q: Find the length of the curve. 8) The spiral = e20, 0 s 0 s Ti r

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

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Q: Find the curvature k of the curve C : 16 = 1 at the point (4, 0)

A: Curvature K of curve is : -16/3

Q: Find the curvature K of the curve at the point P. r(t) = Pi + tj + 1, 3 2 K = %3D

A: Given that rt=12t2i+tj+13t3k and point is P12,1,13. It is required to find the curvature K at the…

Q: 22. Find an equation for the circle of curvature of the curve r(r) = (2 In )i- [t + (1/]j, esIse, at…

A: The formula for the curvature is given by  κ(t)=r⇀'(t)×r⇀''(t)r⇀'(t)3 In order to use this formula,…

Q: 3t? Find the length of the curve x = t, y 2 osts 13. 3 =

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Q: d'y Consider the curve y = ry+ 1, What is the value of at (0, 1)? dz

A: Given curvey2=xy+1

Q: 64. Find the length of the curve y = 1 - e",0 SISI.

A: Formula to find the length of the curve helps to find the required length. Formula to find the…

Q: 1. Eliminate the parameter in the following and sketch the curve. Indicate the orientation. a) r…

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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: 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: a)Find the exact length L of the curve 3y? = (4x – 3)°, 1 0. Answer: b) Evaluate Sxe*dx Answer: 1 c)…

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Q: Find the length of the curve r(t) = for 5 <t< 12. %3D Give your answer correct to two decimal…

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Q: Find the curvature K of the curve at the point P. r(t) = 4ti + 5t²j, P(−4, 5)

A: Given curve r(t)=4ti+5t2j We need to find the curvature at point P.

Q: Find the curvature k of the curve C: 16 =1 at the point (4, 0)

A: Given The curve C : x216+y29 = 1  We have to find the curvature κ of the curve at the point 4, 0.

Q: Find the length of the curve 24xy = y + 48, 2 < y < 4 Select one: 17 85/85-8 243 V5 80V10-13 13 27 O…

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Q: Find the length of the curve. x=(y - 1) 3/2 from y = 1 to y = 4 O 7 O 10 21 2 O 1

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Q: The length of the curve defined parametrically by: x = e'cost, y = eʻsint,0 <t <, is equal to:…

A: given parametric curve x=etcost     y=etsint

Q: The length of the curve that results from the intersection of r = 1,0 <0 < T,0 < ¢ < 0.5n, with 0 =…

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Q: Find the curvature K of the curve C x² 1 16 9. at the point (0, 3)

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Q: Find the length of the curve. Vzti + etj + e-tk, Osts 3

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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: Find the length of the curve r(t)=, -2 "< or equal to" 0, "< or equal to" 2.

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Q: Find the exact length of the curve. x = et + e=t, y = 5 – 2t, 0st< 4

A: The solution are next step

Q: Find the length of the curve r(t) (1,t²,), 0sts1 %3D «3 Ost<1

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Q: Find the length of the curve 24xy = y + 48, Select one: 85/85-8 243 80/10-13/T3 27 O None of these

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Q: for the curre y=: f(n) = n*, 0 sM 32 find the curve'slength given by: 1. 2 It dn

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Q: Find the length of the curve. 2ti + e*j + e-tk, 0 <ts 8

A: Consider the curve:rt=2ti+etj+e−tkrt=2t,et,e−t0≤t≤8 Find the length of curve:…

Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: Find the length of the curve. Approximate your answer to 3 decimal places. r(t) = i+t²j ++t°k, [0,…

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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: Find the exact length of the curve (a) x = 1+ 3t2, y = 4+ 2t³, 0<t<1 (b) x = e' cost, y = e' sin t,…

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

Q: 1 Find the arclength of the curvec= 3. twith 5 <t <7. 2

A: and the given interval is  so lower and upper limit is

Q: Find the arclength of the curve z = with 4 <t<7. %3| %3!

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Q: Find the curvature k of the curve C: 16 + =1 at the point (0, 3)

A: To find the curvature of the curve at the point (0,3).

Q: Determine the length of the curve r(t) = 4sin(3t)i + 3tj + 4cos(3t)k, 0 <t < -. 2 Give your answer…

A: Arclegth of the position vector

Q: 8. What is the length of the are curve r(t) = (9t)i + (6t²)j + 4V54 3/2 3 k for 0 <t <4? %3D (a) 130…

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Q: Find the length of the curve. 9. r(t) = i-j+ 6t k, 1sts3 %3D 74 3 88 3 O 16 3 O 70 3 92 3

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Q: The length of the curve defined by x =÷(y² + 2)E, y E [0,3] %3D

A: Arc length=∫ab1+dxdy2dy

Q: Find the length of the curve. (2^(1/2)) t i + et j + e−t k,     0 ≤ t ≤ 9

A: Given curve is rt=2t i+etj+e-tk , where 0≤t≤9 Differentiating the given curve with respect to t,we…

Q: ² fx ds, where C is с t a. the straight line segment x = t. y = from (0,0) to (16,4) b. the…

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