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Q: Parametric equation of a curve is given by : x = t³ – t y = t – 5t2 + 4 The equation of the tangent…

A: NOTE: Refresh your page if you can't see any equations. . here we have t=0 the point on the…

Q: . Arc length Find the length of the curve y = x, 0sxs V3/2.

A: given,              y=x20≤x≤32

Q: Find equations of the tangent plane and normal line to the surface z + 19 = xe cos z at the point…

A: We have to find tangent plane equation and normal line.

Q: Find the equation of the tangent plane and the normal line to the given surface at the specified…

A: Given:- 24z/x+x3y4+8ysin(z) -2048 To find:- Find the equation of tangent plane and normal line at…

Q: Finding exact length of curve 12x=4y3 +3y−1 1≤y≤3

A: The given curve is 12x=4y3+3y-1 and a=1,b=3.

Q: Discuss the sub-tangent and sub-normal of a curve at a point. Find the condition that the curves ax2…

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Q: Find an equation of the tangent plane to the surface at the given point. 4x2 + 2y? + 4z2 22, P = (2,…

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Q: Second derivative Assume a curve is given by the parametric equations x = f(t) and y = g(t), where f…

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Q: Find the equation of the tangent plane and the normal line to the given surface at the specified…

A: To use the partial derivatives to obtain the equation of the tangent plance

Q: Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with…

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Q: Find an equation of the tangent plane to the surface at the gi g(x, y) arctan (3, 0, 0) %3D

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y =…

A: Find the derivative of y for slope of tangent and normal line and then write their equations in…

Q: Find parametric equations for the tangent line to the given curve at the point (30, 135, 469). The…

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Q: Find the equations of the tangent line to the curve at the given point. y = 5cos x. (1/3,2.5)…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = square…

A: z=xy Partially differentiating with respect to x, we get zxx, y=y·12x=12yx Partially differentiating…

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

A: solution

Q: Consider the curve parameterized by x 3t2 3 and y 2t°. Find equations for all tangent lines to this…

A: Here we have to find the equation of tangent line.

Q: Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P=…

A: NOTE: Refresh your page if you can't see any equations. . the function f is

Q: (a) Given that the transition curve of the highway is modelled after the curve y=4sin x-sin 2 x.…

A: Guven curve  y= 4sinx-sin2x. We have to find its curvature at x=pi/2.

Q: PCt) =<5-t, 4t -3,3t7 uking are length Reparami tize parameter from the point (4,113).

A:

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po 1, е ON surface…

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Q: Q5] What is a parametric representation of a curve? What is its advantage?

A: We are entitled to solve only one question at a time so we will answer only the first question.…

Q: The change in the relative configuration of point within a solid is called strain

A: Strain is a description of deformation in terms of relative displacement of particles in the body.

Q: Find the tangent equation of the curve x= 2sin(2t) , y=3sin(t)  at the point where the curve touch…

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Q: Tangent to the curve z? = 2xy + x² , z = 3 ,at the point ( 1, 4 , 3 )

A: Introduction: The tangent line (or simply tangent) to a plane curve at a particular position is the…

Q: Nr-1 dt, 1sxs4 Note: Will need to use Find the length of the curve y = Fundamental Theorem of…

A: We find dy/dx first. Using the fundamental theorem of calculus.

Q: Consider the family of curves y I 1+ GI

A: We have y=x1+c1x Differentiate with respect to x: dydx=ddxx1+c1x⇒dydx=1+c1xdxdx-xd1+c1xdx1+c1x2…

Q: function fa)= et The given. on %3D

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Q: 31. Find parametric equations for the tangent line to the curve of intersection of the cylinders x +…

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Q: Distinguish briefly the Parametric and non-parametric analysis

A: There are two types of analysis in the testing of the hypothesis. they are: 1) Parametric analysis.…

Q: Tangent to the parabola z = x2 + 3y2 , x = 1 , at point ( 1 , 2, 13 )

A: Given: Tangent to the parabola z = x2 + 3y2 , x = 1 . at point (1,2,13)

Q: Find equations of the tangent line and normal line to the given curve at the specified point. y =…

A:

Q: Find the equation for the line tangent to the curve 2ey = x + y at the point (2, 0). Explain your…

A: Equation of tangent to curve is given.

Q: Can you prove that: the right side = the lift side, please? cosh(x-y)=cosh x cosh y-sinh x sinh y

A: To prove: The identity coshx-y=coshx·coshy-sinhx·sinhy. Formula used: Hyperbolic function:…

Q: Find length of curve y= 2/3 (1+x^2)^3/2,  0<= x<=1

A: Let's find.

Q: he curve y = X fc (vî (yi

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Q: Find a parameterization for a circle of radius 4 with center (-3,-1,2) in a plane parallel to the xz…

A: Aim: To find the parametric equation for the circle of radius with radius 4 and center -3, -1, 2…

Q: Find the equation of the tangent plane and the normal line to the given surface at the specified…

A: Given: -

Q: Consider the curve parameterized by x = 3t²3 and y = 2t³. Find equations for all tangent lines to…

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Q: 3) Find the radius of curvature for the parametric curve et cost, y = et sin t.

A: To find the radius of curvature. The radius of curvature is the inverse of curvature.

Q: Find an equation of the tangent plane to the given surface

A: The given equation is z = x sin(x+y) at (-1,1,0)

Q: ential equation of the family of curves y B are arbitrary constants

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Q: Find an equation of the plane tangent to the following surface at the given point. V3 cos (xyz) =…

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Q: Find the equation of the line tangent to the curve y = Vx at the point (4,2). Hint: Write vx = x1/2…

A: Given: y=x at the point (4, 2) To find: The equation of tangent to the curve y=x at the point (4,…

Q: the max and min directional derivative and their directions; (4) the parametric equation of the…

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,2,2) on the surface…

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Q: Find an equation of the tangent plane to the surface at the given point. 4x2 + 2y? + 4z? = 22, P =…

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Q: The equation y+ y-xy x' defines a curve in the xy-plane called an elliptic curve. (a) Find the value…

A: As per guidelines we have to solve one question

Q: Discuss the properties of the curve (w/ solution) and sketch fully: 1+lnx y =

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface x?…

A: Solution: gradient of function     the gradient of function at   The equation of tangent plane at…