Given: ARST with right ZRST; mZR = 30° and ST = 6; T. N ZRST is trisected by SM and SN 30° Find: TN, NM, and MR R CO

Q: Find the length of one turn of the helix given by…

A: Given: The parametric equation of the curve: .

Q: In APQR, r = 65 cm, q = 82 cm and ZQ=25°. Find all possible values of ZR, to the nearest degree.

A: We need to find values of r.

Q: Find the length of the helix traced by 7(t) = a cost i + a sint j+ct k,a >0,0 sts 2n %3D (a) 2n (b)…

A:

Q: The common area between the cardioid r = 1+ cose and the circle r = 3cose is: Select one: (1+ cose)?…

A: For cardioid  θ=0,   r=1+1=2 θ=π2,    r=1+0=1

Q: Use the arc length formula, L = √√√1 + (f' (x))² dæ, to find the length of y = 2ª + 1 on [1, 5].…

A:

Q: Consider the circular helix with equation R(t) = (12t, 5cost, (a) Find the value of t such that R(t)…

A: Introduction: A parametric equation is one in which the dependent variables are defined as…

Q: ............ In the diagram below, QN = 6, OP = 12.5, and OQ = 10. Find the length of PM. Round your…

A: The objective of the question is determine the value of  PM in the given triangles.

Q: Consider the helix ?(?)= at t=π/6:

A:

Q: Find the length of the indicated portion of the trajectory. rt) = (e 'cos t) i + (e 'sin t) j +3e t…

A: Here I am attaching image so that you understand each and every step.

Q: Find the length of the curve. r(t) (7t, 3 cos t, 3 sin t), -2 sts 2

A:

Q: For the given triangle, prove |JK| + |JL| > |KL|.

A: Consider the given triangle JKL. Construct the triangle JKL as shown below:

Q: If the area of APQR is A, give the expressions that complete the equation for the measure of ZR. R…

A: We will use formula for area of triangle.

Q: Find the arc length of the graph of r(t) = ev2li+e¯v2lj+2tk, 0<t < v2 In 9 NOTE: Enter the exact…

A:

Q: Given R(t) = 4 cos ti + (1+ 3cost)j +5sintk. Find the arc length of the portion of R(T) from t=0 to…

A:

Q: 2:03 AA A mathspace.co E C. 10 11 12 11. Which of following is a radius of the attached circle? JK…

A:

Q: dx Evaluate LJv by using Trapezoidal rule (up to three 1 + x? decimal places). [Ch-4(B), Expl-2]

A: We have to evaluate ∫01 dx1+x2 by using Trapezoidal rule.

Q: using the Lagrange multiplers method, find the closest and furthest points of the elips yx?ty?=4 to…

A: Given: Ellipse: 4x2+y2=4 Line: 3x-2y+6=0 To find the closest and furthest point of the ellipse from…

Q: For AKMP, Q is the midpoint of KP, L is the midpoint of KM, and N is the midpoint of PM. Also, KP =…

A: we will use midpoint theorem here . when midpoint of two sides are join then the line segment is…

Q: We have to find ths [EF] if: [AB]= 3cm [BC]=2cm [AE]=1,5 cm Using the Thales's theorem

A: We have to find ths [EF] if: [AB]= 3cm [BC]=2cm [AE]=1,5 cm Using the Thales's theorem

Q: 2. In 00, AE is tangent to 00 at E, mZBCF = 112 and mBE:mDE = 3:7. Find: (а) тBЕ (b) тLA E A В (c)…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: The arc length formula is s = Sa lūldt. Find length of the indicated portion of the curve given…

A:

Q: dy given the following Find dar 24sin(ry) dy da

A: The given equation whose derivative is to find is:

Q: Find the length of the curve. r(t) = (9t, 3 cos(t), 3 sin(t)), -5 sts 5

A: To determine the length of the curve.

Q: For a transmission line, the characteristic impedance Z, is given by R+ @Li Z, VG+ @Ci' where R = 10…

A: Polar form

Q: 3. Given that LN 1 PR and that O is the center of the circle PLR, then use a theorem previously…

A:

Q: 4. In the given circle 0, OC 1 AB. If AD = (4x + 9) cm and (Sx+2) cm. What is AB? BD = Solution and…

A: Topic:- circle peroprties

Q: Find the length of one turn of the helix given by r(t) == cos(t)i + sin(t)j + 1 1 99 25 -tk.

A:

Q: 3) Solman, the beautiful black lab beagle mix dog, spots a squirrel 25ft away at a bearing of N32°W.…

A: Given information: Solman spots a squirrel 25ft away at a bearing of N32°W and before reacting…

Q: Consider the circular helix with equation R(t) = (12t, 5 cos t, -5 sin t). (a) Find the value of t…

A: Given is the circular helix with equation as R→(t)=⟨12t,5cost,-5sint⟩ We need to find the value of t…

Q: 2. In 00, AE is tangent to 00 at E, mZBCF = 112 and mBE:mDE = 3:7. Find: (а) тBЕ (b) mZA E A В C (c)…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Let r(t) = (t, 3sint, 3cost) Find T(pi), N(pi), B(pi), k(pi) Reparametrize the helix r(t) with…

A: Given equation of helix  r(t) = t, 3sint, 3cost)

Q: Find the length of the portion of the arc given by r(t) = (e 'cos t) i + (e 'sin t) j + 5e ' k, -In…

A:

Q: Given R(t) =4 cos ti + (1 + 3cost)j + 5sintk. Find the arc length of the portion of R(T) from t = 0…

A:

Q: 6. Find the arc length of the helix, r(t)=bcosti+bsintj+V1-b²tk from t= 0 to 27.

A:

Q: Find the length of the portion of the arc given by r(t) = (e 'cos t) i + (e 'sin t) j + 7e'k, -In 2…

A:

Q: Find ſc xyz ds, where C is the portion of the helix r(t) = (cos(t), sin(t), t) for 0<t< 67.

A: Given, ∫Cxyzds C: rt=cost,sint,t 0≤t≤6π Formulas used: ∫sinnx=-cosnxn∫cosnx=sinnxn Integration by…

Q: Given arccos(r) = arccot(z²), solve for dz/dr

A:

Q: Blid E8ne thất iš čut up into 2 section 4 and B, such that section A is a cone similar to the…

A:

Q: What does the arc length formula give for the lengthof the line r(t) = ⟨2t, t, -2t⟩, for 0 ≤ t ≤ 3?

A: Given:          r(t)=⟨2t,t,−2t⟩  for 0≤t≤3.

Q: the back if necessary. 1. Given: OB AC at G a) If m/BOC = m LACO and CG = 35 cm, what is OC ?

A:

Q: Use the gjiven flqure to answer fust 3-I 3.17 OD=100m and oE- bom, theE Res on the the arcle. 4 I…

A:

Q: 5 From the given diagram, find (a) the length of PR, 24 cm (b) sinZQPR = 7 cm R. wol bas sups a mo n…

A:

Q: Find the area inside the larger loop and outside the smaller loop of the limicon ? = 1 + 2 cos ?.

A:

Q: Given 7(t) = (et, et, vZet), for t > 0. a) Determine whether 7 (t) uses arc length as the parameter.…

A:

Q: In circle P with m \angle NPQ= 104m∠NPQ=104 and NP=9NP=9 units find area of sector NPQ. Round to the…

A: Given: m∠NPQ=104° and NP=9 To find the area of the sector NPQ The formula for the area of the sector…

Q: Given that the curve C is represented by f(t) = t²i+tj+4k. Find the arc length of C for 0 <t< 2. %3D…

A:

Q: Find the are length of one turn of the helix, t=0 to t = 2r , given by 7(t) = (bcost, b sin t, V1 –…

A:

Q: R+j@L anc

A: