' Sketch the curve y = In

Q: Find equations of the tangent line and normal line to the given curve at the specified point. 3x…

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Q: Make the curve y=ax*+bx³+ cx²+ dx+e pass through the points (0,3) and (-2,7) and at (1,4) have a…

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Q: Find the equation of the tangent line to the curve at the given point. y = 5x – 2x, (1, 3) y =

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Q: Find the equation of the tangent line and normal line to the curve y= √( x− 3) at (4,1).

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Q: Find the point-slope equation of the tangent line to the parametric curve given by x = 1+ 2t° and y…

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Q: Find an equation of the tangent line and normal line to the curve at the given point. y = (2x)/(x2 +…

A: Given :          y=2xx2+1     1,1

Q: What are Bézier curves?

A: A curve is an infinitely large set of points. Each point has two neighbors except endpoints.

Q: Show that the curve y=|x| has no tangent line at the origin.

A: We show that y = |x| is not differentiable at origin.  Therefore there will be no tangent line at…

Q: Find an equation of the tangent line to the astroid at the (3√3, 1).   x2/3 + y2/3 = 4

A: Given an astroid equation find the equation of tangent at a point.

Q: (A) Find the equation of tangent and normal to the curve 2x2 + y = 9 at (-2, –1).

A: To find the equation of tangent and equation of normal at the given curve .

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(x² + y²)° = 25(a² – y²) at the…

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Q: How can draw a Lorenz curve ?

A: ANSWER: For the given question, we have,

Q: What does it mean for two families of curves to be mutually orthogonal?

A: Two families of curve are said to be mutually orthogonal if they intersect at right angles. Angles…

Q: Find the tangent line(s) to the parametric curve given by x =

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Q: Find the equation of the tangent line to the curve of y = 1/x at the point (3, 1/3)

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the equation of the tangent line to the curve y = (5 In(x))/x at the points (1, 0) and (e,…

A: Formula of equation of tangent is y-y1 = m(x-x1)

Q: Find an equation of the tangent line to the given curve at the specified point. 5x y = X + 3' (2, 2)…

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Q: Find the equation of the tangent line and the normal line of the curve at given point: 1. y? = ,…

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Q: Write the equation of the tangent line to the curve = 2 at the point (1,1). .3

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Q: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

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Q: Find the equation of the tangent line and normal line to the curve: 2. x2 + 2xy = y3 at the point…

A: Firstly, we find  dy/dx by differentiating both sides with respect to x

Q: Sketch the tp, ap and mp curve and explain

A: The graphs are used to visualize the data. It helps to make decision by visualizing the data set.…

Q: An equation of the tangent and normal line to the curve Y-xesinx at (0, 0) is . www

A: Differentiate wrt x and us equation of tangent line

Q: Find equations of the tangent line and normal line tothe curve at the given point. y= 6Cosx  (π/3,…

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Q: What is the slope of the tangent line to a curve with parametric equations of x= 2t+1 and y= 3t-1? *

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Q: Grph the Find an equation of the tangent line to the curve at the en point. owo

A: Given that             y = √x ,   (1,1) Here we have to find the equation of the tangent line to the…

Q: Find an equation of the tangent line to the curve at the given point. X + 1 y = (5, –6) X - 6 y =

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Q: 1+lnx y =

A: y = 1+ln xx

Q: Using the equation f(x) =√25-x² at point (2,4), find the equation of: A. Tangent B. Normal line to…

A: Let's find.

Q: Find an equation of the normal line to y = x2 at the point (2, 4). (The normal line at a point is…

A: y=x2 Differentiating with respect to x, we get dydx=2x Now slope of the tangent line at 2, 4 is,…

Q: Find an equation of the tangent line to the curve at the given point. 5x y = x + 3' (2, 2) y =

A: Given curve, y=5xx+3 we have to find the equation of tangent line to the given curve at point (2,2).…

Q: tangent line of the curve

A: The tangent line is the line on the curve which passes through the given point on the curve.

Q: 2. Use the guidelines to sketch the curve. Y In x x²

A: The given function is: y=ln xx2 Note that the domain of the function is (0,∞). First of all, let's…

Q: he curve y = X fc (vî (yi

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Q: what is the curve?

A: what is the curve?

Q: Find the normal to the curve y = 1 - x2 at the point (3, -8).

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Q: (b) Use the equation of the best fitting curve from part (a) to predict the distance required to…

A: (a)  The curve in  figure 1 perfectly fits the the data set

Q: . Find an equation of the tangent line to the curve y = Vx at the point (1, 1).

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Q: Find an equation of the tangent line to the curve at the given point:  y=(2x+1)/(x+2) ,    (1,1)

A: To determine the equation of the tangent line.

Q: Find the equation of the tangent line to the curve y = (2 In(x))/x at the points (1, 0) and (e,…

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Q: IL FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT TH INDICATED POINT.

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Q: Make the curve y = ax4 + bx3 + cx2 + dx + e pass through the points (0,3) and (-2,7) and at (1,4)…

A: The curve y=ax4+bx3+cx2+dx+e

Q: 7. Find all points (x, y) where the curve y = xe has a horizontal tangent line. 2

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