The image of ARST in the graph shown below is rotated 90° counterclockwise around the origin to form AR'S'T'. 8 R 10 -10 -6 What is the y- coordinate of the point S' ? Answer: 2. 6. 2.

Q: DETAILS SCALCET9M 14.5.015. az az Use the chain rule to find and as at sin(0) r = st, 0 = s7 + t7 az…

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Q: c) Find the equation of the parabolic path by eliminating the parameter. 4.9 (tan(a) )x – -…

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Q: E. Find the arc length of the curve 24xy y + 48 from y-2 to y-4 %3D Find the ane lenoth ofthe curve

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Q: The monthly sales S (in thousands of units) of a seasonal product are modeled by S = 58.3 + 32.5 cos…

A: We use a graphing utility to graph the given function.

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Q: D Eolm the secend order diffefential equation using the parametric delinitien of y=asine X-a Cos e…

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Q: Find the lengths of the curves The curve r = cos3 (θ/3), 0 ≤ θ ≤ π/4

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Q: 4. a) Find the entire are length of the curve r = 2a cos³ (0/3).

A: 4a Given curve is r=2acos3θ3. We have to the entire arc length of the given curve. The entire arc…

Q: Find T, N and B for the curve r (t) = (4 cos(5t), 4 sin(5t), 5t) at the point t = 0 Give your…

A: Find T→,N→ and B→ for the curve r→(t)=4 cos(5t),4sin(5t),5t at the point t=0give your answer to two…

Q: 4. Find the length of the curve having a parametric equation of x = a cos 3 6, y = a sin 2 0 from e…

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Q: Find the length of the curve y In (cos x), 0sxs- 3 The length of the curve is (Type an exact…

A: The length of any curve for x1≤x≤x2 is given by,l(Length)  = ∫x1x21+dydx2  dx   Also use ∫secx dx =…

Q: (b) (i) Parametrise the graph of the C function y = f(x), for x = [a, b], as the track of a regular…

A: b) (i) Hint: A mathematical process known as parameterization involves representing the state of a…

Q: 5. Eliminate the parameter to find the equation of the ellips Sx(t) = 4 cos(t) + 1 ly(t) = 3 sin(t)…

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Q: 8.432 5) Setup and find the arclength of y=º from 6 15x54 using trapezoidal rule n=6. Give the final…

A: We have to find out the arc length

Q: 2. 6. 2. (3), 6. (x) 10. 12- 14. (4, 17) 16. B. 18+ f4)= 2x2+1 Find the arc length of the graph from…

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Q: I Eliminate the ar bi fary constant )- y= Ax+ B sec x 2 2 %3D I. Find the difFCrntial equation +that…

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Q: 5. DETAILS SCALCET9M 14.5.015. az az and as at Use the chain rule to find sin(8) Z = r = st, 0 = s3…

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Q: Consider the following. x = sin(2t), y = -cos(2t), z = 8t; (0, 1, 47) Find the equation of the…

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Q: 1.( ) L(t sinh t) = -A) 2.( ) Let z1,, be complex, then Arg(z, +=,) = Ar 3.( ) Let "-y'+ 2r = In (t…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 10. Consider the point A. 42 10a Find the true bearing of point A from O. Bearing = 0120 Ester your…

A: In the question angle is given 42 degrees from point o to point A

Q: 11. dy/dx = -x/y, y(0) = 4 %3D

A: Given: Let's sketch the isoclines and their direction markers, then sketch a few solution curves,…

Q: Draw the isoclines with their direction markers and sketch several solution curves, including the…

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Q: Match the graph to the equation. I T 37 47 5n 67 7n 8n 9n 10n11n 12n -1 -2 -3 -4 -5 O y = 4 cos - 1…

A: At  θ = 7π y = 4 cos (θ/4) - 1  y = 4 cos (7π/4) - 1 y = 1.82 which satisfy the graph value of y

Q: A curve C is given parametrically by x = cos(t) - 2 and y = sin(t) + 3, where 0 ≤t≤ 2π Find and…

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Q: Q1 (A): Find the deflection equation of simply supported beam which shown in figure by using the…

A: Given: B) The given ordinary differential equation is y''-y=sinhx+coshx

Q: 13. dy/dx = 2x, У (0) 3D —1

A: Solution: dy/dx =2x  ,    y(0)=-1

Q: Consider the following. x = sin(10), y = cos(0). (a) Eliminate the parameter to find a Cartesian…

A: Given problem:- x=sin(θ/2) , y=cos(θ/2) , -π≤θ≤ π  Eliminate parameter and find Cartesian equation…

Q: (b) Find the slope of the line tangent to the polar curve r = 1- 2 cos e at the point where e = -2.…

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Q: 1. Where does the graph of y = x“ + 4x – 1 have horizontal tangent? %3D - 2. Use the chain ule…

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

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Q: The cart in the figure below weighs 64 pounds and is attached to the wall by a spring with spring…

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Q: 11.4.23 dy The equation f'(0) sin e+ 1(0) cos e r'(0) cos e- f(e) sin a gives a formula for tne…

A: To find the slope and concavity of polar curve.

Q: (4) Given that Firsy)= (y- E cos ) +(2xy +e sind) S is Conservative IR on (a) Find a Potential for F…

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Q: Consider the following. X = 7 cos(0), y = 8 sin(0), - T/2 < 0 S TT/2 (a) Eliminate the parameter to…

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Q: A glider is soaring upward along the helix r(t) = (cos t)i + (sin t)j + tk. How long is the glider’s…

A: Given: The path of glider as r→t=cost i^+sint j^+t k^, To find: The length of the glider's path from…

Q: A particle travels along the path of a helix with the equation r(t) = cos(t)i+ sin(t)j+tk. See the…

A: Consider a vector r(t), which is differentiable. Then a unit tangent vector along the curve r(t) is…

Q: By about how much will ƒ(x, y, z) = ex cos yz change as the point P(x, y, z) moves from the origin a…

A: Given function is Firstly, we will find gradient f at (0,0,0) Now, we will find unit vector along…

Q: 2y )dx - (x +3 cos y)dy around the parallelogram havi - 6

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Q: Given that x(t) = log (3t) and y(t) = t² + 3, which of the following gives a Cartesian form of the…

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Q: 2. Let y be the curve in R3 given by t (t, 2 cos t, 2 sin t) for 0 <t < 47. Compute ds

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Q: 6. The curve C: 3*-1 + xy - y? +5 = 0. show that at points (1,3) can be writien in the form -In(ue)…

A: Solve the following

Q: 4. Consider the circular helix given by 7(t) = (3 cos t, 3 sin t,4t). Give an equation for the…

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Q: g. L[cos(3t – 4)] h. L[t³sin(2t)cos(2t)] i. [[te-atsin(at)]

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: Consider the following. x = 5 cos(0), y = 6 sin(0), -1/2 s 0s a/2 (a) Eliminate the parameter to…

A: We will indicate the domain of x and y and also eliminate the parameter.

Q: Q2: Find parametric equations of the line tangent to the graph of r(1) at the point where t= to.…

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Q: Let C be the curve y = 4.5 In(20.25 – a"), for -3.6 < a < 4.1. A graph of y follows. 14 13- 12 10…

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Q: a. Find the solution set for log, 2+2.log3 x= log, (7x-3) b. Plot the polar curve r 2(1-cose) in…

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Q: e work of a particle moving counter-clockwise around the vertices (2,0), (-2,0) and -3) 3e* F…

A: Greens theorem is used