Find an equation of the line tangent to the curve defined by æ° + 2xy + y% = 104 at the point (2, 2). y = ||

Q: . Find an equation of the line tangent to the curve y = 2 + sin(rx) at a = 1.

A: Given curve is y=2+sinπx at x=1 findequation of line tangent to the given curve

Q: d the equation to the tangent line to the curve y= 4 -r* where x=1.

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Q: Find an equation for the line in the xy-plane that is tangent and normal to the curve x³y² + y² = x…

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Q: . Find an equation of the tangent line y = e* that is parallel to the line x – 4y = 1.

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Q: Find the equation of the tangent line to the curve x + y² = 4 where the slope of the curve is 1.…

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Q: 1. Find an equation of the tangent line to the curve  x^2 + y +y^2 = 13 at the point (-1, 3). ?

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Q: FInd an equation of the line that is tangent to the curve y=e^xcos(x) at the point (0,1).

A: The equation of the curve is y = e^x(cos(x)) and the point is (0, 1). Differentiate the function…

Q: 5. Find the equation of the tangent and normal lines to the curve x = t2 – 2t, y= t3 - 3 when t =…

A: Firstly we find Slope of tangent and slope of normal to the given curves and then we will find…

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

Q: Find the equation of the tangent line to the curve y = 1+e¯* at the point (0,2)

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: s) Find the equation of the tangent line to the curve y = x Vx´ +5 at the point (2,6).

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Q: B) Find an equation of the tangent line to the curve at the given point y = (1+ Vx)³ at x =1 ?

A: Given curve is, y=(1+x3 )3 at x=1.  The objective is to find the equation of the tangent.     For…

Q: Find an equation of the line tangent to the curve y = e at (0,1). 2x

A: We need to find the equation of tangent to the curve: y=e2x  at (0, 1) This can be done as follows:

Q: The equation for the tangent line to the curve y=x3 which passes through the point (0,2) is y=mx+b…

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

A: Given: To find an equation of the tangent line to the curvey=x at the given point (1,1)

Q: (b) Find the equation of the line normal to the tangent at the point (1,4) on the curve x'y+ xy =…

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Q: Find an equation of the tangent line to the curve at thegiven point.   y = e2x  Cosπ   x, (0. 1)

A: Given: y=e2xcosπx at 0,1 for finding equation of tangent at given we need slope m of tangent at that…

Q: 3. Find the equation of the tangent line to the graph of x y + 7xy = 30 at the point (-5, 2). %3|

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Q: 6.) Find the equation of the tangent lines at the point where the curve crosses itself x = t³ – 6t,…

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Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e*) at the point (0, 7).

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Q: 4. Find the equation of the tangent to the curve y = xe* at the point (1, e):

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Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: (B): Find an equation for the tangent and normal Line to the curve (y 2x +4x-3) at (x1)

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Q: Find the equation of the tangent line of the curve y = sin x + cos x at the point A ( π ,√2 ) .…

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Q: Find an equation of the form y = f(x) for a curve with r-intercept 2 whose tangent line at any point…

A: Here, to find the equation of the curve of the form y=f(x) with x-intercept 2. That is curve passes…

Q: Q3. Find the equation of the tangent line of the curve y= sinz + cos z at the point A(-, V2).

A: The given curve is y=sin x+cos x and at the point is Aπ4, 2  To find the equation of the tangent the…

Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

Q: 3. Find the equation of tangent line to the curve 2x – y + 3 = 0 x = t – 1, y = t³ + 1 parallel to…

A: Equation of tangent line is given by- y - y1  = m (x - x1)

Q: (b) Find the equation of the line normal to the tangent at the point x’y+xy² = 6.

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Q: (c) Find an equation of the tangent line to the graph of x2/3 + y2/3 = 5 at the point (1,8).

A: Given: The equation of the graph is  x23 + y23 = 5 To find: The equation of the tangent line to the…

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: Find the equation of the tangent line to y = e-9* at t = 0. y =

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Q: Find the equation of the tangent line to the curve y3 + 4.xy = 9 at point (2, 1).

A: Recall: Point-slope intercept form :         (y-y1)=m(x-x1); where , m=y'(x) and (x1,y1) be the…

Q: 3. Find the equation of the tangent line to (x*+ y°)* +50xy = 0 at the point (2,-4).

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Q: A curve is defined implicitly by the equation x² + 3xy + y² = 1 Differentiate implicitly to find dy…

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Q: Find the equation of the tangent line to the curve at the given point. y = v2x + I, (4, 3)

A: →Slope, m = dydx→dax+bdx =12ax+b→Equation of straight line passing through (xo,yo) with slope m is…

Q: Consider the curve given by y2 + (1+x³)3 = xy + 8. Find the equation of the tangent line to the…

A: To find the equation of line tangent to the given curve at point (1,1)

Q: Find an equation of the tangent line to the curve y= e* that is parallel to the line y=1-2x.

A: Two parallel lines have the same slope

Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

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Q: Determine an equation of the tangent line to y = (e3x - 2)4  at the point (0,1) then solve for y.

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Q: Find the slope of the line tangent to the curve y = cos2 x at the point(−π/3 , 1/4)

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Q: Find the equation of the line tangent to the curve y=x+cosx at the point (0,1)

A: Given, curve and point

Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

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Q: find the equation of the line tangent to the curve y2+ exy=4 at point (0,2)

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Q: B) Find the slope of the line tangent to the curve y = sin3x at the point where x =

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Q: Q3) Find the equation of tangent line to the curve y/sin(x) +y²=2 at the point (,1).

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Q: Find the equation of the tangent line to the curve xy +xy 12 al the point (6, 1).

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