Find an equation of the tangent line to y = f(x) when r = 2. The slope of the tangent line is f'(2) = ¿. It passes through (2, f(2)) = (2, 3). Therefore by the point-slope formula y – y0 = m(x – xo), the equation of the tangent line is

Q: e defined by 8x^2+5xy−3y^4=270  at the point (9,−3). The slope of the curve at the point (9,−3) is

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Q: Find the equation of the line tangent to the curve xy^3+xy=6 at the point (3,1). When the equation…

A: Firstly, we will find derivative And then we can solve for y'and we get

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

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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 y = x Vx +5 at the point (2,6).

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

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Q: Find the equation of the tangent line to the curve at (2, 1): x^2 + 4xy + y^2 = 13

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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 form y = f(x) for a curve with æ-intercept 0 whose tangent line at any point…

A: We have to find

Q: Find equation of the tangent line to the curve y = v2x + 1 at the point (4,3).

A: Given:    y = √(2x+1)  Point (4,3)

Q: 2. Find the equation of the tangent and normal line of the function y+ 3xy +x = 5 at the point (1,…

A:

Q: Find the equation of the tangent line to the curve y²(y² – 4) = x² (x² – 5) at the point (0, –2). |

A: Equation of tangent line is given by:y-y1=dydxx=x1·(x-x1)      .............[1]So first find dydx at…

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

A:

Q: Find equations of the tangent lines to the curve y = x-1/x+1 that are parallel to the line x − 2y =…

A: Given,        The equations of the tangent lines to the curve y=x-1x+1 that are parallel to the…

Q: Find an equation of the tangent line to the graph of the equation x2+9xy +y2 =25 at point (0, 5)

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Q: 6. Find the equation of the tangent line to the curve r* - a*y" = 12 at the point (-2, 1).

A: the equation of the tangent ( x0, y0 ) to the curve y=f(x) is    y – y0 = f ′(x0)(x – x0)

Q: Find an equation of the tangent line to the curve x2+y+y2=13 at the point (-1,3)

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Q: 7. Find an equation of the tangent line to the curve y = 1 y = 1+3r IVI that is parallel to

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

Q: Find the equation of the tangent line to the curve x2 + 4y2 = 8 and parallel to the line x+2y=8.

A: Given curve is x2+4y2=8. To find equation of tangent line to the given curve which is parallel to…

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: Find the derivative of the function given by the equation y2=2px, where p is a parameter.

A: Given equation is Where p is a parameter. This equation is the canonical equation of  a parabola.…

Q: 4. Find the equation to the tangent line to the curve -3 %3D at the point (x, y) = (1,2).

A:

Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

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Q: (a) Find the slope of the curve at point P and write the equation of tangent line at point P. 2x2…

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Q: Determine an equation of the tangent line to y= (e3x+2)5 at the point (0 , 243) then solve it for y.

A: We have to find the value of y.

Q: 3 at the point ( 6, (0.) The slope of the tangent line to the curve y = is:

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Q: Find the equation of the tangent line at the given point on the curve. 327x 3x² + 3y² , 109y 2 10…

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where, m is 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: Find the equation of the tangent line to the curve y = e - x that is parallel to the line y = 1 - 2…

A: Consider the curves, y=e-x…

Q: 4. Find the equation of the tangent line to the curve 2xy+r sin y = 27 at the point (1.%).

A:

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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

Q: Find an equation of the tangent line to the curve y=x(x1/2) that is parallel to the line y=6+3x

A: y=6+3xBy comparing with y=mx+b, m=3Slope of a line parallel to to y=6+3x is  3

Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

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

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 equation of the tangent line to the curve y= x4 + 6ex at the point (0,6). Enter exact…

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Q: 1. Find the equation of the tangent line to x² – 3xy + y² = -1 at (2,1).

A: given that x2-3xy+y2=-1slope of tangent (m)= dydxdifferntiate the given curve with respect to…

Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

A:

Q: 9) Find the equation of the tangent line to: y = (1+x) e*when x=0

A:

Q: Find the equation of the line tangent to the curve xy3+xy=20 at the point (10,1). When the equation…

A: It is given that, the equation of the curve is xy3 + xy  = 20. Use implicit differentiation to…

Q: 2. Find the slope of the tangent line to the curve y? + yx² + x² – 3y? = 0 at the point (0, 3).

A:

Q: dy dz a ) e-π7z In(y) = x²z

A: Detailed solution is given below.

Q: 2. Find the slope of the tangent line to the curves: (a) xy + y³ = 12 at the point (2, 2), (b) 3x4/3…

A: This question can be solved using the concept of tangent and normal using application of…

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

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Q: Find an equation of the tangent line at the given point.

A: We find dy/dx at (2,4)

Q: Find an equation of the line tangent to f(x) = Va at (4, 2).

A: equation of tangent line

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.