Find the exact length of the curve. 1x2 - In(x), 1< x s 8 у3 Find the exact length of the curve y = x-x2 +sin-1(V

Q: Verify the given linear approximation at a = 0. Then use a graphing calculator or computer to…

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Q: (7) Find the lengths of the curve r =2/(1 - cos 0), a/2<0<n.

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

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Q: The length function for the curve yz ln(sinx) arc stacting point (,0) cwith

A: The arc-length of the curve y=f(x), a≤x≤b is given by: L=∫ab1+(f'(x))2dx

Q: 3. Using both Simpson 1/3 and 3/8 rules compare the Error of the equation. -dy 1+cosy

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Q: Find the length of the curve 7(t) = (4 cos(3t), 4 sin(3t), 4t) for – 4 <t < 2 Give your answer to…

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Q: Find the length of the curve 7 (t) = (3 cos(t), 3 sin(t), 5t) for – 4 <t <1 Give your answer to two…

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Q: the length of the curve r = V1+ cos 20 for – -sos.

A: In this question, the length of the curve is to be determined. Length of Curve The length of the…

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

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Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 1 :…

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Q: Q4: Find the length of the curve r = 3 – 3 sin 0

A: Solution:

Q: 2+cost Use IVT to show that g(t) = [0.7]. takes on the value 2.5 in the interval 1+ sin t

A: By using IVT we have to show that g(t) takes on the value 2.5 in the given interval.

Q: (c) Find the tangent line equation to the curve x²y? = x + 2y at point (0,0). Use that approximation…

A: The given curve is x2y2=x+2y   To find the tangent line equation at point (0,0) Then, find the value…

Q: x = 2 sin' (t) if 0<t< 2 sis Find the length of the curve \y=2cos² (t)

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Q: 4) Find the x-intercept(s) and y-intercept(s) of the curve x = 3t – 3, y = sin t

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Q: An equation of the kangent and hormat. X+sinx líne to khe curve Y =xê

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Q: Determine the length of the curve 7(t) = (3t, sin t, cos t) on the interval 0 < t < 2n. %3D А. L =…

A: As we know that, The expression for the length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt…

Q: t+0 tan3 2t t+0 sin 10t 10.1 letcariorg line horizontal? At what points on the curve y = sin x + cos…

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Q: y= ln(x^2-1) Find the length of the curve segment between the points of the curve with apsis of x =…

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Q: 元 ind the length of the curve x = |/12 sec't-1dt, on-낌ys이 - - The length of the curve x= V12 sec*t-1…

A: the  formula used to find the length of the curve  ds=1+dxdy2                      (1)L=∫ds…

Q: Find the length of the curve 7 (t) = (3 cos(4t), 3 sin(4t), 4t) for –5 <t< 8 Give your answer to two…

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Q: Verify the given linear approximation at a = 0. Then use a graphing calculator or computer to…

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Q: Find the length of the curve. x = 3 sin t- 3t cos t, y = 3 cos t+ 3t sin t, 0sts The length is…

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Q: Find the arc length of the following curve on the given interval. 27 x = 9t°, y = , 0stsV3 2 The arc…

A: We have to find length

Q: x(t)=sin2((pi/2)-t)  y(t)=cos4((pi/2-t) 0≤t≤pi/2 determine the slope of the curve at t= pi/4…

A: xt=sin2π2-t,  yt=cos4π2-t,  0≤t≤π2 Differentiating with respect to t, we get dxdt=2sinπ2-t·ddtπ2-t…

Q: Sovle the initial value problem described by PDE: u, - cu = xe' with the data и (х, 0) %3 sin x,…

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Q: r = 2 cos 0,0 <o <n. 2 L = S°. dr r2 + de de.

A: Use the formula given to find length of curve.

Q: find the equation of the tangent line to f(x)=12e^xcos^2(x) at x pi/4 use sybolic notation and…

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Q: Q1 If z is a differentiable function of x and y which satisfy equation x3 + y3 + 3 x? siny tan z = 5…

A: The detailed solution is as follows below:

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: 10. Given the curve: y = 4cos°x – 3cosx, find the following values of x (from 0 to 2pi radians) when…

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Q: Let P(cosh t, sinh t) be a point on the unit hyperbola x2 − y2 = 1 in the first quadrant . Show that…

A: Redraw the given figure as shown below.

Q: 10. Circles tangent to the x-axis. Amm. [1+())- [yy +1+(.

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Q: Q3/ Find the shared area between the circle r = (2N sin 0) and the curve r N + sine. N=2*

A: To find the shared area between, the circle, r=2N sinθ                       the curve, r=N+sinθ…

Q: Find the arc length of the curve below on the given interval by integrating with respect to x. x3 1…

A: y= x33 + 14x ; [1,2]Lenght of the arc (L) = ∫ab 1 + (y')2 dx  ---- 1

Q: Q4: Find the length of the curve r = 4 sin 0

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Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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

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Q: Find the length of the curve r = 4 – 4 sin 0

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Q: Find the lengthof the curve r= a sin² (0/2), 0 s0s T, a>0

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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: Find the length of the curve y = In (cos x), 0sxs 4 The length of the curve is (Type an exact…

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Q: Find T, Ñ and B for the curve 7(t) = (2 cos(4t), 2 sin(4t), 5t) at the point t = 0 Give your answers…

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Q: Q.2. (3 points) Find the exact length of the curve y In(cos x),0 < x <

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Q: 6) Find the linear approximation to h(y) = Sin(y + 1) at y =0 Use the linear approximation to…

A: h(x)=sin(y+1)  at  y=0 We know the that Linear Approximation of function f(x)=f(a)+f'(a)(x-a) for…

Q: Q4: Find the length of the curve r= 2-2 sin 0

A: Since you have asked multiple questions but according to our company's guidelines I can only answer…

Q: x2/3+ y2/3=4 from x =1 to x = 8. Find the arc length of the curve x²

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Q: 10 cos 0 and y = 10 sin³ 0, find the total length of the curve swept out by the point If x = (x, y)…

A: We have to point length of curve swept out by the point:

Q: Can i get help step by step please

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