Find the exact length of the cur curve. y = Vx- x2 + - sin (V)

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

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Q: Find an equation of the tangent line to the curve at thegiven point.

A: Given curve:

Q: y=(2x−1)' (2-3x)* at the point (1,1)

A: We have to determine the equation of the tangent line to the curve  y=2x-13 2-3x4, at the point 1,…

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: The curve ver = V1 + sin20.

A: Solution :-

Q: (a) The curve with equation y 2   = x3 +3 x 2  is called theTschirnhausen cubic. Find an equation of…

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Q: Q. Find the length of the arc of f(x) = ÷(x² + 1), 1< x < 4

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: the equation of the tangent line to the curve y = 4 sin x at the point equation of this tangent line…

A: We are asked to find the tangent line of the curve.

Q: Find the tangent lines to Newton's serpentine (graphed here) at the origin and the point (1, 2). 4x…

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: Here we have to find an equation of the tangent to the curve at the given point by both parameter…

Q: The curve y = x /( 1+ x2 ) is called a serpentine. Findan equation of the tangent line to this…

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Q: find y'' for the curve cosx-siny=4

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Q: A curve is defined by y=(1/3)sin(2x+1). Evaluate the angle between the tangent to the curve at x=2,…

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Q: Find the exact length of the curve y = ln(sec(x)),   0 ≤ x ≤ ?/6

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Q: Find the exact length of the curve. y = Vx - x2 + sin

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Q: The curves y = x2 + ax + b and y = cx - x2 have a common tangent line at the point (1, 0). Find a,…

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: Explanation of the solution is given below..

Q: (a) x = 2 – T Cos t, y = 2t – T sin t -

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Q: Find the equations of the tangent lines x = 2 − π cos t, y = 2t − π sin t at the point where the…

A: Given :       x=2-πcost, y=2t-πsint

Q: Find the lengths of the curves y = sin -1x - √(1 - x2), 0≤ x ≤ 3/4

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Q: Eliminate the parameter to express the curve in the form y = ƒ(x) . x = cos t, y = tan t

A: Given that, x=cost, y=tant We have to eliminate the t and express curve in the form y=f(x). As we…

Q: Find the equation of the tangent line to the curve 10 y =- -3 tan(10z) + 7 cos(4x) at z = 0 The…

A: We have to find

Q: Find the length of the curve y = ln (sec x), 0&lt;= x&lt;= pai/4

A: Given,

Q: Find the equation of the tangent line to the following curve at the given point y = cosh(x) + e3when…

A: we have to find equation of the tangent

Q: Find the length of the curve x=cos^2t, y=sin^2t, 0≤t≤Pi.

A: In this question,we find the arc length of the curve using x=cos^2(t),y=sin^2(t),0&lt;=t&lt;=pi Arc…

Q: Find an equation of the tangent to the curve at the given point by two methods: without eliminating…

A: The given curve and the point is x=sin(t), y=cos2(t) ; 32,14

Q: Find the slope of the tangent line to the graph at the given point. (x² + y?32 = 4x²y, (-1, 1)…

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Q: 1) Write the tangent equation to the curve x? + 2xy - y² + x = 2, , at x = 1.

A: As per guidelines we have to solve one question Please repost other question again

Q: At the given point, find the line that is normal to the curve at the given point. 5x y-n cos y = 6n,…

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Q: . Find an equation for the tangent to the curve x sin 2y = y cos 2x at the point (T/4, 7/2). %3D

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Q: Find the equation of the tangent line to the curve x = 1 - cos thetha, y = thetha  - sin thetha at…

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Q: Calculate the length of the curve r=a*sin(^3)(x/3) for (x(1)=0, x(2)=3pi)

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Q: Find the length of the curve y = ln (sin x),  pai/6&lt;=x&lt;=pai/2.

A: The given curve is,

Q: Find the equation of the tangent line to the curve y 2x cos x at the point (п, — 2т). The equation…

A: We will find the equation of tangent line.

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: 6. P=(0,9) Sin(x)+ Cos (x)

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

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Q: Find an equation of the tangent line at the point specified.

A: Consider the given equation as And

Q: Find the equation of the tangent line of y = 9e* at xo = 0. (Use symbolic notation and fractions…

A: The given function is:y=9exThe point is x0=0

Q: Find the exact length of the curve. x = 9 cos(t) − cos(9t), y = 9 sin(t) − sin(9t), 0 ≤ t ≤ pi

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Q: (x^)- У 3Vх — х2 + sin

A: The given function is: y=x-x2+sin-1x The domain of the given function is: x∈[0, 1]

Q: Find the length of the curve.   y = 2 In (Sin 1/2 x) , π /3 ≤x ≤ π

A: y=2lnsin12x,  π3≤x≤π Differentiating with respect to x, we get dydx=2·1sin12x·ddxsin12x…

Q: (a) The curve with equation y? = x3 + 3x2 is called the Tschirnhausen cubic. Find an equation of the…

A: To determine the equation of tangent line.

Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

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Q: Find the exact length of the curve. y = √(x - x2) + Sin-1 √x

A: Given curve is y=x-x2+sin-1x.

Q: Find an equation for the tangent line to the parabola y x*at the point P(1, 1). %3D

A: Given,            The parabola is y=x2 and the point is P1,1.We know that,            The equation…

Q: Find the equation of the tangent line to the curve y 6x cos x at the point (π, = The equation of…

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