138. At what point does the curve y = e* have maximum curvature?

Q: 04. Show that the Gauas and mean curvatures on, X-(u+v,u-v, uv) at u=1, v=1 are K=1/16 and H= JI.…

A: Given: 1) X=(u+v,u-v,uv) at u=1,v=1. 2) The paraboloid is xy=aZ.

Q: Consider points P and Q on a curve. What does it mean for the curvature at P to be less than the…

A:

Q: Find the radius of curvature of a parabola y² - 4x = 0 at the point (4,4). 2

A:

Q: At what point does the curve have maximum curvature? What happens to the curvature as x→∞ 30. y=1n x…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: 4. At the point (0, 0) the graph of y 4.x2 has greater curvature than does y 2x2.

A: These equation represents parabola,then Radius of curvature: K=  y'' /([1+(y')²]^3/2)

Q: Show that the parabola y = ax2, a ≠ 0, has its largest curvature at its vertex and has no minimum…

A: Using the relation,

Q: 7. Find the radius of curvature of the curve y = In sin x at x= r/2 .

A: the formula used to find the radius of curvature is  K=|y''|1+y'23/2                       (1)R=1K

Q: 3. Find the curvature of the curve given by 7(t) = (t, t², t) nt (-1, 1, –1).

A: Given curve is We know that curvature to given curve at point (-1,1,-1) , that is at t=-1 is

Q: at what point does the curve have maximum curvature y=7e^x

A: Given: Consider C is the curvature, formula used:

Q: What is the approximate radius of curvature of the function y = x 2+ 6x – 96 at the point (8, 16)?

A: Given: The function is y=x2+6x-96. To determine: The approximate radius of curvature of the given…

Q: 8. Find the curvature of the plain curve y = e.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: 3. Find the radius of curvature at any point of the curve y = a Cosh ( x/a)

A: solution:-  The given curve is  .y=a coshxa.........eqo1

Q: Calculate the curvature and radius of curvature of the graph of the function y=√x at x=1

A:

Q: At what point does the curve have maximum curvature? What happens to the curvature as x → ∞? y = ln…

A:

Q: For the function graphed below, estimate the point of greatest curvature. 43 Submit Question

A: We have to find greatest curvature of the function in graph

Q: At what point does the curve have maximum curvature? y = 9 In(x) (x, y) = (| 6.3639, – 6.3639 What…

A:

Q: 22. Find an equation for the circle of curvature of the curve r(r) = (2 In )i- [t + (1/]j, esIse, at…

A: The formula for the curvature is given by  κ(t)=r⇀'(t)×r⇀''(t)r⇀'(t)3 In order to use this formula,…

Q: Find the point on the curve at which the curvature is a maximum and (b) find the limit of the…

A: (a) To find the point on the curve at which the curvature is a maximum  (b) find the limit of the…

Q: Q2 Find the radius of curvature of y5 =x at the point (x,v.). Hence, show that the radius of %3D…

A: The curve is y5=x3

Q: 3. Find the curvature of f(x) = e" at point (0, 1). Then find the equation of the osculating circle…

A:

Q: Find and sketch the circle of curvature at the point on the curve y = x² where the tangent line has…

A:

Q: find the curvature at typical point (x,y) on the curve y=x²

A:

Q: What is the radius of curvature at point (1, 2) of the curve 4x – y2 = 0.

A:

Q: Find the curvature x for the curve y = x - K = x² at the point x = 2.

A:

Q: The curvature of y =x is

A: In this question we have to find the curvature of the given function which we can find out by using…

Q: 1 at the point (1,1). Find the curvature of the curve f (x) =

A: We need to find the curvature of the curve fx=1x at the point 1,1.

Q: The curvature of y=x? is:

A: The curvature of a curve is defined as the amount by which a curve deviates from being a straight…

Q: At what point does the curve have maximum curvature? y = 9 ln(x) (x,y) =? what happens to the…

A: we are given we can use formula now, we can plug it and we get

Q: find the curvature of y=x^4 at (1,1).

A:

Q: Find the curvature of he curve :  at x^2/3 at x=1

A: GivenLet f(x)=x23To find the curvature of the given curveFormula:ρ=1+f'(x)232f''(x)

Q: Determine the maximum curvature for the graph of f(x) = 5 In (x). The maximum curvature is at x =

A:

Q: 2) Find and sketch the circle of curvature at the point on the curve y = x² where the tangent line…

A:

Q: 10.) At what point does the curve have maximum Curvature? y=In(x). K(x)= f"|

A: firstly find f, f' and f'' . And substitute all these values in given curvature formula.  After that…

Q: Find the equation for the principal curvatures, the differential equation of the lines of curvature,…

A:

Q: Find the point on the curve y = ex where the curvature is greatest.

A: Given: Find the point on the curve y = ex where the curvature is greatest.

Q: Calculate the curvature and radius of curvature of y = 4 cos x + sin x at x = π/2

A:

Q: Show that the Gauas and mean curvatures on , X = (u + v,u –- v,uv) at u = 1, v = 1 are K = 116 and H…

A: Given, X=u+v,u-v,uv u=1,v=1 , k=116 and H=182 We know that, E=xu,xuF=xu,xvG=xv,xv So, we need to…

Q: For the function graphed below, estimate the point of greatest curvature -4 -3 /-2 -1 -2 (0,-2) x…

A:

Q: Find the radius of curvature at any point x = - of the curve

A: Given,             y=4sin2x-sin4x at  x=π4

Q: .3 Find the radius of curvature of y=x' at x=1,

A:

Q: What is the radius of curvature at point (1, 2) of the curve 4x - y2 = 0.

A:

Q: Determine the curvature of the curve y=arctanx at x=0 and at infinity.

A:

Q: 2) Find and sketch the circle of curvature at the point on the curve y x where the tangent line has…

A:

Q: Find the radius R, of curvature to the hyperbola y = x + 3x² – x³ at the point x = 0 given that R =…

A: To find the radius R, of curvature to the given hyperbola at point x = 0.

Q: At what point does the curve have maximum curvature? y = 7 In(x) (x, y) = What happens to the…

A: Given,              y = 7 ln(x)

Q: Find the curvature and radius of curvature of the curve y=cosmx at a maximum point.

A: Given curvey= cos mxWe have to find curvature and radius of curvature at maximum point .Formula…

Q: The curvature of y = x2

A: so we have to find curvature of y =  x2. we use the formulae for curvature  k(x) =…