Find the angle of intersection of the following curve. xy = 6 and x'y = 12

Q: For which values of t is the curve x = ln t, y = et concave up?

A: given curve x=lnt  , y=et

Q: (x²+2)³/2 -; [0,1] y = 3.

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Q: 48. x = e' – t, y= 4e"², 0<t<2

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Q: find the domine of the function y(t)=sin 4t

A: Consider the given function: The domain of a function is the set of input or argument values for…

Q: I Find the acute angle between the two curves xy = 3 and x2 = 9y

A: Given data: First curve xy=3. Second curve x2=9y.

Q: Given the curve r(t) = ,0stsn/2. Calculate the arc lengt O L-3 L=12 L=8 O L=3/2

A: Given curve is r→t=cos3t,sin3t and 0≤t≤π2 We have to find the arc length of the given curve. The…

Q: Find an equation of the tangent to the curve given by = evi y = t – In(?) at the point corresponding…

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Q: Consider the parametric curve x = Vt , y= 3t –1, for t20. Find the slope of the tangent line to this…

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

Q: Find the length of the curve y=Arc sin e^x when y= pi/6 to y=pi/2

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Q: Find the exact length of the curve (b) x = e' cos t, y= e' sint, 0<t<T

A: Length of the curve for parametric equation is given by:

Q: If C = {(x, y): 1 ≤ x ≤ 2, y = ln(x + √x² − 1)}, find the length of the curve. -

A: C=x,y: 1≤x≤2, y=lnx+x2-1

Q: Find the exact length of the curve. y =  3 +1/2 Cosh 2x,   0≤ x ≤ 1

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Q: Find the exact length of the curve. = 글Vy (y-3), 16 sys 25 X =

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Q: 1) Find the length of the curve; y = e" from r= 1 toI = 2.

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Find the exact length of the curve. x = et + e-t, y = 5 – 2t, 0 st< 4

A: Given curve: x=et+e-t, y=5-2t We have to find exact length of the curve at 0≤t≤4. Length of the…

Q: Find the numerical value of [-' (3xy + iy²) dz over the following curves b) The curve given by (t)…

A: We have to find the numerical value of ∫i2-i(3xy+iy2)dz over the curve parametrized by x(t)=2t-2,…

Q: Find the exact length of the curve given by Length = x = 2t², y = (0 ≤ t ≤ 4).

A: A detailed solution is given below

Q: Find an equation for the line tangent to the curve x= 2sin(t), y= 4cos(t) at the point defined by…

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Q: dy Find for the curve 49 + 6x° = 3 + sin(7x-y). da

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Q: Find 2"dz for the case of z(= a) # z(= b), and when the curve is closed, that is when a b.

A: Note: We are not given any specification of n and the curve C. So, we have taken various cases here.…

Q: Find the arc length of the curve y = 3sin?t- 1 dt for -7<x<7. V3 28/3

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Q: Find the condition that the line x cos a + y ain a =p may touch the curve yh =1. am bm

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Q: Find the length of the are of the curve п x=e' sint , y=e' cost from t-0 to t=:

A: Given: x=etsint, y=et cost from t=0 to t=π2

Q: 2) Determine the points at which the following curve has the slope of 2. x = 3sin(t), y=6cos (t)…

A: We will find the points.

Q: y = e*, 0<z<1.

A:

Q: 3. For the 2 curves xy = 9 and x = 81y, find angle between the two tangent lines at the point of…

A: NOTE: Refresh your page if you can't see any equations. . the first curve is  . the second curve…

Q: Find the lengths of the following curves: e. x = 8cost + 8t sint and y = 8 sin t – 8t cos t, 0stsn/2

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Q: Find the exact length of the following curve y = Vx – x² + sin-'(/T).

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Q: For the curve y= e^-3x cos 2x, determine y'' + 6y' when x = 0.

A: In this question we will use basic of calculus concept of differentiation. We will simply…

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: Find the angle between the tangents to the curve R(t) = ti + 2tj – t°k at the points t = +1

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Q: At the given point, find the line that is normal to the curve at the given point. 6x <y - TT Cos y =…

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Q: For the curve x=3cos(t), y=4sin(t), find the value of d^2y/dx^2 at the point where t=π/5.

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Q: A curve is defined implicitly by the equation x²+xy+y? =1 dy Differentiate implicitly to find dx

A: here we use basic differentiation form.

Q: Find the length of the curve. 6t, , r(t) 0 <t< 1

A: Given:-r(t)=6t, t2, 19t3,         0≤t≤1since we have to find the length of curve.

Q: Find the length of the following curve (a) x = 2t , y = cos 4t, 0 <t<

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Q: Find the length of the arc of the curve in the given range, y3 +. 3 1 x = 16y + 4y² + 0 < y< 4…

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Q: Find the length of the curve. 2ti + e*j + e-tk, 0 <ts 8

A: Consider the curve:rt=2ti+etj+e−tkrt=2t,et,e−t0≤t≤8 Find the length of curve:…

Q: Find the length of the arcc of the curve x=t2, y=t3 from t=0 to t=4.

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Q: Let Sketch the curve and find the length of this curve. r(t) = (t, 3 cost, 3 sin t), 0≤ t ≤ 2π.

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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: Find the length of the curve traced by r(t) = t^2 i + (((t^3)/3) + 2)j, for 0 ≤ t ≤ 1

A: The solution is given as

Q: Use the formula below to find the length of the curve defined by the equation x= cos^2 t , y = sin^2…

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Q: y = -(1,3] x3;[1,3]

A: Given:- y=0.3 x1/3 -1.5 x5/3  To find:- Arc length of curve over interval [1, 3]

Q: y(z) along the curve given by r" = e*.

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Q: s to the curve y = x* at the %3D

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Q: Find the tangent plane to the curve T = [t, t², t³] which pass through point M (2, –, –6) .

A: If the parametric equation of a curve is given by , then the tangent direction is given by . The…

Q: メ*+\ for what Value sss of x ,t he curve y= 3 X has horizontal tangent

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Q: Find the length of the curve r(t) = (cos(3t), sin(3t), 4t) for -6 ≤ t ≤ 5 Give your answer to two…

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