The length of the curve defined by x =÷(y² + 2)E, y E [0,3] %3D

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

A: given curve x=lnt  , y=et

Q: If the curve I=3+ at? y= at + bt has a tangent line y=r-4 at t 1, what is a+b? %3D

A: We have to find a+b

Q: 1 Find the exact length of the curve: r(t) = , 6.

A:

Q: 5) Sketch the curve X = e', Y = e?t + 1

A: Given, The curve  X = et  and  Y = e2t+1 We have to sketch the curve.

Q: Find the length of the curve described by y = V sec* t – 1 dt, - sI 4 4 (a) 4 (b) (c) (d) 2/2 (e) 1

A:

Q: Find the length of the curve y2 = ln x, -1 ≤ y ≤ 1.

A:

Q: Find the length of each of the following curves: %3D %3D x (ey + e) from y = 0 to y = 1

A: The length of a curve means the arc of the length of a curve. The arc of the length of a curve in…

Q: Find the exact length of the curve: x = e' -t y = 4e/2 Osts4 O e2 +3 e2 +4 e*+3 4 e*+4 O None of…

A:

Q: 1. Find the moment of inertia, with respect to the line x=1, of the area enclosed by the loop of the…

A: Given: Curve y2=x2(1-x)----(i)

Q: Keparametrize the curve rit) = with respect to its arclength measured from the point (e"20,e"2) in…

A: Given curver(t)=etsint,etcost,et Above curve is passes from the point eπ2,0,eπ2.we need to find the…

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

A:

Q: The tangent line to the graph of y = e² at æ = 0 is perpendicular to the tangent line to y = e at æ…

A:

Q: Find the exact length of the curve. 1 х 3 1 s y s 2 4y2

A: Given:

Q: 64. Find the length of the curve y = 1 - e",0 SISI.

A: Formula to find the length of the curve helps to find the required length. Formula to find the…

Q: 10. Find the length of the curve defined by x = Vt, y = 1 – t from t = 0 to t = 5. %3D

A: To find: The length of the below curve from t = 0 to t = 5.

Q: (e) Find the exact length of the curve. x = e cost, y = et sint, 0 ≤ t ≤n.

A:

Q: Find the length of the curve y = ln(sec x ), x is an element of [0, pi/4]

A:

Q: y = 1/2 (e² + e^¹), − 1 ≤ x ≤1

A:

Q: Find the arclength of the curve y = * - In x if < y s-1. Do not simplify your answer for this…

A: Given: y=18x2−lnx18≤y≤e28−1

Q: The Normal to the curve 2x2 – y? = 1 at the point (1,1) is: %3D 3 y =-*+ y =x+ y = 2x + 1 %3D P. y =…

A: To find The equation of normal to the curve 2x^2-y^2=1 at the point (1,1)

Q: 10. Find the exact length of the curve y = In(sec x),0 < x<T/4 %3D

A: This is a problem related to integration of the function. Based on the integral formula we will find…

Q: (ii) Find the length of the curve y = E* from x = 0 to x = 2. %3D

A:

Q: The Tschirnhausen cubic is the curve given by the equation x^2=y^3+3y^2 At which point(s)…

A:

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: 5. Find the length of the curve given by y= Vt* – 1 dt and 1<x<2.

A:

Q: Find the exact length of the curve. y = ln(cos x),   0≤ x ≤ π/3

A: Formula used: L=∫ab1+dydx2dx

Q: 2. Find the length of the curve r(t) = e'i + e' sin 2tj + e' cos 2tk, 0st< 2n.

A:

Q: Find the equation of a curve having a slop by dy xy? у 3 ху? —, x > 0 dx and passing through the…

A:

Q: Find the length of the curve y = S Vcos t dt, 0 <x<n.

A: Given; The curve y=∫0xcost dt,      0≤x≤π .

Q: 1. Find the exact length of the curve. (a) y² = 4(x+ 4)°, 00 (b) y = In z, 1<I<2

A:

Q: Find the length of the curve y = ln (sec x), 0 <I<÷.

A:

Q: The length of the curve defined by x =(v² + 2)E, y € [0,1]. Select one: none O 12

A: Arc length of the curve x=g(y), y∈[a, b] is, S=∫ab1+(g'(y))2 dy

Q: At the point (a, b) the curve T =t-4t, y=t2 +2t, t eR has a vertical tangent line. What is the sum a…

A:

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 exact length of the curve. y = 2 In(cos (÷)) Tt/3 < x <T/2

A: Here given Differentiate the given function with respect to x using the chain rule of derivative

Q: Find the exact length of the curve. y = In(cos(x)), TC 0 < x<.

A:

Q: The length of the curve y=(e+e)/2 from x-0 to x=1 is Select one: -1 a. 1/(e + e -1 b. (e- e /2 -1 C.…

A: Arc length.

Q: Find the required x-value. For a x2-cu -curve with 27 degrees of freedom, find the X-value having…

A: Given data:Degree of freedom  =27 Area to the right  = 0.01

Q: Find dy/dx and d2y/dx2. x = cos(2t),    y = cos(t),    0 &lt; t &lt; π   For which values of t is…

A:

Q: For the implicit curve y + xy + x2 = 3, find a point on the curve where the tangent line is…

A:

Q: dx L% = 1+ dy dy

A: Given equation of curve; y  = (x/2)3/2 , x = 0 to x = 2

Q: Find the exact length of the curve (a) x = 1+ 3t2, y = 4+ 2t³, 0<t<1 (b) x = e' cost, y = e' sin t,…

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

Q: The tangent line to the curve y=vx-5 * for x=16 is a. y=1/8 (x+16). O b. y-4=1/6 (x-16). O c.…

A:

Q: Given the curve y2º = x in the xy-plane, for what value of y, if any, does the derivative of y with…

A: Differentiation w.r.t to x

Q: Given the curve y2" = z in the ryplane, for what value of y, if any, does the derivative of y with…

A:

Q: Find the length of the curve r(t) = for 0 ≤ t ≤ 2π Enter the exact value.

A:

Q: Find the exact length of the curve (x=t?cost ly=t?sint Osts2n (n? + 4)3/2 - 4] 3 a. 4 + 4)3/2 – 1]…

A: The given implicit function is,  x=t2cost, y=t2sint0≤t≤2π