FINDinG THE cauaTIon OF THe cUrve CURUC WHOSE y": 12 x- 24 WITH A HORI ZONTAL tAnGent AT THE POint (3,0).

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Q: Construct a line tangent to arc UV at point U. L this as line UY. Construct another line tangent to…

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Q: Consider the curve parametrized by a = e-sin(0) and y = ecos(8) for 0 ≤ 0 < 2π. At what points (x,…

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Q: Another folium like curve T The curve is x - y³ – 6xy = 0 is graphed to the left. Verify that the…

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Q: x=e"Cost = e"S int

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Q: The angle between tangent and the radius vector of the curve r 5(1- sin@) at 0= is %3D

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

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Q: How many tangent lines to the curve y = pass through the point (1, 2)? X + 6 At which exact points…

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Q: length of curve y=(x^2)/2-(lnx)/4  from x=1 to x=3

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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.

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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: The tangent line to the curve x'+y° -9xy=0 at the point (2,4) intersects the y-axis at y =. Write…

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Q: Two circles of radius 4 are tangent to the graph of y2=4x at the point (1,2). Find equations of…

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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: Tangent are drown from the origin to the curve y = sin x.Prove that their points of contact lies on…

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Q: Find the length of the arc of the curve y=x+3 from the point where y=2 to the point where y=x^2+1…

A: y=x+3  ⇒x=y-3⇒dx=dy⇒dxdy=1 The formula for the length of the arc from the point y=2 to y=x2+1…

Q: Find the slopes of the curves at the given points.Sketch the curves along with their tangent lines…

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 8 where the tangent line is horizontal. (х, у)…

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Q: How many tangent lines to the curve y = x+3 pass through the point (1, 2)? At which exact points do…

A: Take the derivative of the given curve and satisfy the equation of tangent then solve for points.

Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

A: We have to find value of t for horizontal tangent line and vertical tangent line .Now x and y…

Q: Consider the curve x²y + y2x = 6 %3D Find the coordinates of the point (x,y) where the curve has a…

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Q: Find equations of the tangent line and normal line to the curve at the specified point. (1, 0.1) y =…

A: the objective is to find the equation of tangent line and normal line.

Q: UV is tangent to oW at point U. What is the value of: X-1

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Q: Chebyshev's theorem is used when there is a bell shaped curve

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A: Equation of tangent to curve is given.

Q: A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 20 cosh (x/20)…

A: Given: A telephone line hangs between two poles 14 m apart in the shape of the catenary…

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A: The general form of the parametric equation of the curve in three dimensional space is given by…

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

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Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

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Q: Consider the curve parameterized by x 3t2 15 and y 2t 15. Find equations for all tangent lines to…

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Q: a) Find the equation of tangent line of curve that is given by parametric equations x = 3cost + sint…

A: The slope of the tangent at a point on the curve, y=f(x) is equal to the first derivative of the…

Q: QI- i) Show that cosh2x- sinh2x = 1 ii) Find the equation for the tangent line to the curve y = Vx +…

A: i) we solve this by hyperbolic method ii) we solve this by equation of tangent line

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

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Q: 6. Determine the point of inflection on the curve defined by y=x³ + 5. Show that the tangent line at…

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

Q: Use Newton's method to find the coordinates of the inflection point of the curve y = esin(x), * / 25…

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Q: equation of tangent plane to the Surfuce Find xל S^ ד ト+メル+ at PC,1,3)

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

A: Explanation of the solution is given below...

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

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Q: Q: Find a pair of curves such that, (i) The tangents at points with equal abscissae intesection on…

A: We need to find pair of curves that satisfies condition (i) , (ii) , and (iii)

Q: 2) Find the cartesian eauation for the olar curve r=tan e sece ×ニy )yニxと 2.

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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: roblem 5. Find the equation for the line tangent to the curve y√ = 3x√√y - 10 at x =

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