A graphing calculator is recommended. Consider the following. x = t- 2 sin(t), y = 1 - 2 cos(t), 0sts4x Write an integral expression that represents the length of the curve described by the parametric equations. dt Use technology to find the length of the curve. (Round your answer to four decimal places.)

Q: 3. (cos x cosy- = cot x) dx - 'sinx sin y dy

A:

Q: 6. (d) Sketch the curve described by x = 2 sin t , y = 2 cos t (you can use your calculator). (e)…

A: To sketch the curve x=2sint,y=2cost

Q: Time left 1:35:07 Find the equation of the tangent plane to the graph of = 2 sin(4x) cos(2y) at the…

A:

Q: 13. Given y = arcsin(x) – x/1-x² , what is y'? 2r? A) |1-. 2x B) C) D)

A:

Q: Q2/Find the length of the curve r = sine + cos0 between

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Now

Q: What curves are represented by the following? Sketch them. [cos t, sin 2t, 0]

A: To Sketch: The curves represented by the parametric form [cos t, sin2t, 0].

Q: Consider the following. x = sinh(t),    y = cosh(t) (a) Eliminate the parameter to find a…

A: a) We are going to use the identity to eliminate t. Then plug x = sinh(t),    y = cosh(t)

Q: Find the length of the curve. r(t) = cos(6t) i + sin(6t)j + 6 In(cos(t)) k, 0 <t< T/4

A:

Q: Find the length of the curve. x= 5 sint- 5t cost, y = 5 cos t+ 5t sin t, 0sts5 The length is units.…

A:

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A:

Q: The range R of a projectile is shown below, where v0 is the initial velocity in feet per second and…

A: Consider the range of the projectile R=v0232sin2θ. Differentiate with respect to θ as follows.…

Q: x dx can be transformed to which of the following using trigonometric substitution? x²-1-1 x² + cose…

A:

Q: Given equation is dy - sin(x + y) dx

A: Given equation is: dydx=sin(x+y)Let x+y=t⇒1+dydx=dtdx⇒1+sin(x+y)=dtdx Put x+y=t, we…

Q: The position of a particle is given by F(t) = t i+ In(t)? j+ sin nt k where t is measured in seconds…

A: Given position :

Q: Find the length of the curve 7 (t) = (cos(3t), sin(3t), 2t) for – 8<t< 7 - Give your answer to two…

A:

Q: Find the lengths of the curves x = 8 cos t + 8t sin t, y = 8 sin t - 8t cos t, 0 … t … pi/2

A: The length of the curve of any given function by the formula L=∫t1t2dxdt2+dxdt2dt. Here t1 and t2…

Q: CoS X • dx Caleulate 4.3 sin x 2.

A:

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: Given that  r=4sintheta+5costheta To find the length of the curve

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: The given question is the application of integration and solved as shown in step2.

Q: dy sin(1) = Find for y Simplify your answer. do dy da I3D

A:

Q: sin(x ) Evaluate: [ - dx 2 x cos 4

A:

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A:

Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 25 Ib/ft. Find the…

A:

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A:

Q: 1/5 a) S J1/10 10 Arc sin(5x) dx

A: Please see the below picture for detailed solution.

Q: A particle travels along the x-axis such that its velocity is given by v(t) = = t.9 sin (3t). What…

A:

Q: π/3 0 sin x dx (1+cosx)?

A:

Q: Let x = 0.43 and y = 0.43. Determine the value of C when you evaluate tan-(2x)dx (Use 2 decimal…

A:

Q: Inside the circle r =3 sin 0 and outside the cardioidr 1 + cos 0

A: The area that we have to calculate is the shaded area in the diagram above.

Q: 5. x = A sin (at + B); w a parameter, not to be eliminated.

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

Q: dx cos x 4 Find the exact value of

A:

Q: Find the length of the curve 7 (t) = (4 cos(5t), 4 sin(5t), 5t) for – 3 < t < 9 Give your answer to…

A: Given: r→t =4cos(5t), 4sin(5t), 5t  for -3≤t≤9

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: To use the geometry we will change the polar equation into the cartesian equation first.  For that,…

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A:

Q: Find the slope of the line tangent to the following polar curve at the given point. 3x r= 3-3 sin 0;…

A:

Q: A Moving to another question will save this response. Question 3 Use integration by parts (tabular)…

A:

Q: The displacement from equilibrium of an object in harmonic motion on the end of a spring is…

A:

Q: When using u substation what should I use as the u when the problem is the intergral of…

A: Explanation:The given integral is ∫cos3(θ)sin(θ)dθ.

Q: Use the formula sin-(u) du = u sin-1(u) + /1 - u² + C to evaluate the following integral. x…

A: Now , we will solve the integral.

Q: Quiz C: Find dy for the funetion: X²+Siny =X.y? 2- Find the nd $y for the fun etion. y = tont X =…

A:

Q: The length of the curve y = In(cos x), 0< x <:

A: To determine the length of the curve, y=lncos x, 0≤x≤π4.

Q: 2x? – 4 on Find the arclength of y 0 < x < 2 -

A:

Q: 1. 1 cos(15t) – 7. - sin(15t) %3D - y(T/10) = v(T/10) = ft ft/sec

A:

Q: The velocity of a plane is modeled by v(t) = -1+ cos ) + 3 sin ), measured in miles per minute, for…

A:

Q: dnd tie r(t) = (3 cos t,3 sin t,3t)

A: Given: r(t)=&lt;3cost,3sint,3t&gt; Unit tangent vector formula is    T(t)=r'(t)|r'(t)|

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A:

Q: (cos x cos y – cot x)dx – sin x sin y dy = 0

A: Given Equation  (cosxcosy - cotx)dx-sinxsinydy=0 Given equation is in the standard form Mdx+Ndy =0…

Q: cos(x) Evaluate the definite integral dx. V1+ sin?(x)

A: