10. AT is tangent to both circles K and J at A. ST is tangent to OK at S and RT is tangent to OJat R. If ST = 2x+7 and RT = 3x+1, find: T а. Х C. RT S. b. ST d. AT K' R

Q: Equation is f(x)=3x-x^2

A: First we find out the slope of tangent line at x=2 and then the equation of the tangent line is…

Q: 13. Find the length (units) of the arc of the curve 8y = x* +; from x = 1 to x = 2. 35 а. 16 33 33…

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Q: The tangent to the circle x? + y? +3 x+ 3 y = 38 at the point (2,4) is Select one: O 11 y + 7x = 18…

A: According to the equation, we need to calculate the equation of tangent to the circle at point…

Q: Find the tangent line to the given circle as directed. x² + y² + 10x – 6y – 2 = 0 parallel to y =…

A: Equation of the circlex2 + y2 +10x -6y -2 = 0⇒x2 + y2 + 10x -6y -2 + 25 - 25 + 9 -9 = 0           .…

Q: 1. Find the length of arc of the curve y: In r from r =3 to r = 9. 8

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Q: The length of the curve y= is equal to x =3: from to 을(x2 + 2) O a. 12 Ob. 1 O c.9 Od. 3

A: We can use the application of integration in order to solve the given problem.

Q: Apply the method of Implıcit Di fferentiation to find dy in eq (i) angle O=45 with and loPI-r=472…

A: Given, x2+y22=16x2y.....1x=rcosθy=rsinθr=16cos2θsinθ Now diffrentiating the given function with…

Q: :If the tangent at (a, b) to the curve x³ + y° = c° meet the curve again in (a,,b,). b, Prove that…

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Q: Which of the following expressions gives the length of the curve defined by R(t) = tij +In tk…

A: We have to find arc length expression for the given vector function. Given is the curve…

Q: 1 use the formula L= [, ct to find the length of the curve 1 X=-ť. y = 1 for 0St<1

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Q: Find the length of the arc of y=x^(3/2) between the points (1,1) and (4,8).

A: Find the length of the arc of y=x^(3/2) between the points (1,1) and (4,8)

Q: ind the length of the curve x cos(t) + In(tan(;t)), y = sin(t), /4<t< 3n/4. %3D ength =

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Q: Find the length of the curve y = x³/2 from x = 0 to x = 5. O 12.407 O None of these O 14.702 O…

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Q: PR Is tangent to circle Q at R and PS Is tangent to circle Q at S. Find mzQ. 37° mzQ =

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Q: If UV = 8, UX = 5, and XY is x + 3 find x. Assume that segments that appear tangent are tangent.…

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Q: If UV = 7, UX = 5, and XY is x + 3 find x. Assume that segments that appear tangent are tangent.…

A: Given : UV = 7UX = 5XY = x+3

Q: PR is tangent to circle Q at R and PS Is tangent to circle Q at S.Find mZP.

A: Given: PR is tangent to Q at R and PS is tangent to Q at S ∠P =  x° ∠Q =  4x° ∠R =  90° ∠S =   90°

Q: 3. 8.5 W 20

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: nd the points on the given curve where the t r = 1 + cos(0), 050 < 2n prizontal tangent r, 0) = %3D…

A: Given curve is  r=1+cosθwhere 0≤θ≤2π.

Q: If C is a circle of radius 3 centered at the point ( 3, -4 ), then evaluate £(3y – ein(=) ) dz +…

A: The integral is given by ∮C3y-esinxdx+10x-siny3+ydy Where, C is a circle of radius 3 centered at the…

Q: The tangent to the circle x? + y? +3x+3 y = 38 at the point (2 ,4) is Select one: O11 y- 7x = 58 011…

A: Equation of the circle is : x2 + y2 + 3x + 3y = 38 at point (2,4)

Q: ind the are-length of the following curves: 2 for 0sts V3 (2t +1)³² y = 3

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Q: Use the arc length formula to find the length of the curve y = 2-3x, -2 is less than or equal to x…

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Q: 4. The tangent of the acute angle between the linesy = 4x – 3 and y = x - 5 is Tano 144() 13 3

A: Please rate

Q: BC is a tangent drawn to circle O. OC = 16, BM = 10. Find BC to %3D the nearest tenth. C B to M 16

A: Given: -  BC is a tangent drawn to circle O. OC = 16, BM = 10. To Find BC

Q: The arc length of the the curve x =V9 - y2 - 3<y<3 is equal to Select one: О Зл O 9T О бл 18T

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Q: 8. Find YZ. 2r + 12 10 W r+3

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

Q: Find the exact length of the curve.42. x = et − t, y = 4et/2 , 0 ≤ t ≤ 2

A: Given eqn : x=et-t,  y=4et/2 ,  0≤t≤2 So, we use dxdt=et-1,  dydt=2et2   Length of the curve =…

Q: If UV = 7, UX = 4, and XY is x + 2 find x. Assume that segments %3D that appear tangent are tangent.…

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Q: Find the length of the tangent to the circle x² + y² − 2x − 3y − 1 = 0 from the point (2, 5)

A: Solution- The equation of the circle x2+y2-2x-3y-1=0 The point =2,5 length of the tangent

Q: Compute ž dz +y1 z dz, +72 and where +Y1 is the segment from 1 to -1, and +y2 is the arc on the unit…

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Q: 2 Consider the two graphs y = 2x and x - xy + 2y = 28. The absolute value of the tangent of the…

A: Introduction :

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: 4. Find the are length of the curve from y=1 to y-4

A: The given curve is x=18y4+14y-2 from y=1 to y=4

Q: Find | xdy + ydx, where C is the arc of the curve y = eª for 0 < x < 3

A: Given Data: The given integrand is: ∫Cxdy+ydx The equation of the curve is: y=ex ......1 The limit…

Q: let rit)= demti+ dsintf+? Find the length of this curve from t=0 to t = 4.

A: we have to find the length of the curve

Q: Given 급 (1+ 블" -를 -용), dy * = k). What is the value of k such that y is perpendicular to the curve…

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Q: Find the length of the following two-dimensional curve. r(t) (2 cos t+2t sin t,2 sin t- 2t cos t),…

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

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Q: If x = 8cos3theta and y = 8sin3theta, find the total length of the curve swept out by the point…

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

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Q: RS is tangent to the circle at N. K 16. If m LK = 105, then m Z PNL = 17. If mPN m L PNR 100, then m…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let r(t)=(3t,4t -3,6t +1). Find the arc length traced by r(t) if 1st s7.

A: Given  rt=3t,4t-3,6t+1 To find the arc length traced by rt if 1≤t≤7 A vector valued function…

Q: PRIS tangent to circle Q at point R and PS is tangent to circle Q at point S. Determine mZP and mZQ.…

A: Circle tangent property

Q: PRis tangent to circle Q at R, and PS is tangent to circle Q at point S. Determine mZQ. 42° P

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Q: Find the exact length of the curve. y = In(cos(x)), 0 s xs- TO 6. Need Help? Read It

A: Given problem:- Find the exact length of the curve.   y = In(cos(x)),   [0, π/6]

Q: A circle, with area A = Tr2, is expanding with time. dr If = 6 cm 2/s, what is dt dA when r= 2? dt…

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