Folium of Descartes: x3 + y3- 6xy 0

Q: If the tangent line to the function   f(x)=(√x  )+a                     at x=4 has equation…

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Q: Find the slope of the tangent line to f(x) = e***4* at the point where x 0. %3D a) 00 b) O-4 d) 04

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Q: Function Point h(t) sin t + et %D 7 7

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Q: Find the eguation of the tangent Line to the CUrre y= Cos( Son)e) at the Point mith coordinates (T)…

A: Given curve is, y=cos(sin(x)) we have to find the equation of the tangent line at the point (π,1) of…

Q: Find the tangent line to the curve C: r =t, y = t° – 3t at the point (3,0).

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Q: Determine the slope of the tangent line to the given curve, provided below, at x = 1. * 4 x + 6 y =…

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Q: In z The tangent line to the graph of y is perpendicular to the line = 7 at the point where

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Q: The slope of the tangent line to the graph of y I cot I at x = 1 is Coloot ono:

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Q: ind the equation of the tangent line to the graph of f(x)= 3e* +1 where x, = In 2.

A: Slope of tangent line is (m) given by derivative of curve at given point. Let the curve be f(x) and…

Q: Find an equation of the tangent plane to the graph of f(x, y) = at the point (2, 9). y Z =

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Q: Find the slope of the tangent line to the graph of the function at the given point.

A: The slope(m) of the tangent line to the curve is nothing but the derivative of the function at the…

Q: Find the equation of the tangent and normal to the following curves at the points indicated against…

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Q: Find the tangent line to the curve C: r =t, y = t – 3t at the point (3,0)

A: dydx=dydtdxdt=3t2-32tx=3 at t=±3 so there are two slopes tangent…

Q: Find the slope of the tangent line to the curve below at the point (3, 5). 4x + 4y + 3ry =…

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Q: Find the equation of the tangent line at (1, Tt) of 6x²y– ncos(y) = 71

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Q: (x2 + y2)2 = 4x2y, (1, 1) Bifolium: 1.4 1.2 (1, 1) 1 0.8 p.6 0.4 0.2

A: Find equation

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

A: Solve by converting polar form into coordinate form

Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: If y=mx+b is the equation of the tangent line to the graph of y = x - x- 3 and is parallel to the…

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Q: The tangent line to the graph of y = In(2x) is perpendicular to x + 4y = 1 at the point where…

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Q: The exact value of the slope of the tangent line to the graph of the curve r = 5 + 4 cos(0), at e =…

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Q: Find the D.E. for each of the curves determined by the condition that at each point (x, y) ,   The…

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Q: Find the tangent line of f(x) = V1+x at a = 0 and use it to give an approximation for V1.01

A: To find the tangent line of the below function at a = 0. fx=1+x3

Q: Given x = y1/y , find its tangent line at (1, 1)

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Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: 3. What is the slope of the tangent line to the graph of y =- at x = 2? x+1 1 A) 3 B) 9e - C) 4e 4…

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Q: The slope of the tangent line to y = x6 + x – 5 at - the point x = 4 is O -46657 6145 O 16384 O 1537…

A: Given:         f(x)=x6+x-5 at x0 =4  The value of function at the given point y0         f(y0)=…

Q: The equation of the tangent line to Y f(x) at a can be written in the form y 3 = mx + 6 where m =…

A: Given Data: Function: fx=6sinx6sinx+4cosx   Differentiate the function with respect x is,…

Q: Find an equation of the tangent line to the following curve at the given point. y = e cos TX, (0, 1)

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Q: The tangent line to the graph of y = In(2x) is perpendicular to x + 4y = 1 at the point where…

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Q: If y=mx+b is the equation of the tangent line to the graph of f(x)= x² - x at x= -1, then m=

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Q: Find the slope of the tangent line to the graph at the given point. + y3 - 6xy = 0, (4/3, 8/3)…

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Q: Find the slope of the tangent line to the graph at the given point. (x² + y?32 = 4x²y, (-1, 1)…

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Q: Find the slope of the tangent line to the graph of yx = xy at each of the following points.    (i)…

A: The given equation is, yx=xy   Take natural log on both sides. lnyx=lnxyxlny=ylnx   Differentiate…

Q: 140 W

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Q: Find an equation of the tangent line to the curve at each given point. x = t2 − 4,    y = t2 − 2t…

A: Find an equation of the tangent line to the curve at the point (0,0).

Q: The slope of the tangent to the curve f (x) = 2" at x = 1 is approximately (to three decimal…

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3)…

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83

Q: : Find an eguation of the tangent Line to the graph of P" at (12, f (12) where fox)= sx*+2x+9 %3D

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Q: FInd the equation of the tangent and normal to the following curves at the point indicated against…

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Q: Find the slope of the tangent at (0, f(0)), for the function, f(x)=/cos (2) + e

A: We have to find the slope of tangent at 0,f0 for the function: fx=cosx+e-x Here point is given as…

Q: Find an equation of the tangent plane to the graph of f (x, y) = xy 2 - xy + 3x 3y at P = (l, 3).

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Q: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

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Q: Find the slope of the tangent line to the graph of the function at the given point.    f(t) = 3t −t2…

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Q: If y=mx+b is the equation of the tangent line to the graph of f(x) = X .2 - X at x= -1, then m= b3D

A: According to power rule of differentiation

Q: Find the slope of the tangent line to the cerve, x-xy°+Iny= 24 at the point C3,2)

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Q: Given that the graph of J (X) passes through the point and that the slope of its tangent line at +…

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3)…

A: We have to find slope

Q: The slope of the tangent line to the graph of y? = In(xy) at the point (e, 1) is :Select one -e-1.a…

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Q: Estimate the slope of the tangent line to each curve at the given point (x, y). 5. E L IN NN IIE…

A: Slope of the tangent line