termine the equation of the tangent line to the curve y=Vx at the point (1, A) x-4y+3=0 в) х+4у-3-0 c) x-4y-3=0

Q: Find the equation of the tangent line to the curve y = 2xe^x at the point (0,0) in y = mx + b form m…

A: We have the given equation of the curve y=2xex   We have to find the equation of the tangent line…

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 the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

Q: Find an equation of the tangent line to the curve 2(z² + y°)² = 25(æ² – y³) (a lemniscate) at the…

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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: (a) Find the equation of the tangent line to the curvey = 2 sec x – 4 cos x at the point (, 2) %3D

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find the slope of the tangent line to the curve V4r + y+ VIY = /13 + V10 at the point (2, 5). The…

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Q: The slope of the tangent line to the curve y^2 = 5x – 1 at P(1, 2).

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Q: Find the equation of the tangent line to y = = at x = 1. y - V2 = - V7 (x - 1) A) E (x - 1) -- x y -…

A: The solution is given as

Q: Calculate the equation of the tangent line to the curve r2 +ry+3r+2y-1 = 1 at the point (0, 1).

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Q: a) Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y - 2y³ In…

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Q: How many horizontal tangent lines does the curve parametrized by the equations z(t) =-4t-1,…

A: on doing derivative we get the 1

Q: 5. Find the equation of the tangent line on x² + y? = (2x² + 2y² – x)² at (0, ).

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Q: Find the point on the curve y=x√x for which the tangent line to the curve is perpendicular to the…

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Q: Find the equation of the tangent line to the curve 3 x' + 2 y – 22 = 3 xy – x at the point (2, 2).…

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x2 - 10x +1 which is perpendicular to the…

A: The equation of the line is      x+2y-6=0⇒y=-12x+3       in the form of line equation y=mx+c  So,…

Q: x = e' and y = te %3D

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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: 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: 5. Find the equation of the tangent plane of sin(xyz) = x + 2 y + 3z at the point (2, -1, 0).

A: We have given the surface X,Y,Z at the point (2,-1,0). We have to find the equation of the tangent…

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 at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

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Q: Fine the equation of the tangent line to the curve at the point (0, 4) 4+6y = sin(xy^2) + y

A: Given,          The equation of the tangent line to the curve at the point 0,4…

Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

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Q: the equation of the tange

A: Given that: The equation of the curve x2 + 4y2 = 8. The equation of the line x + 2y = 8.

Q: Calculate the equation of the tangent line to the curve 2r³ + xy +3x+ y = 2 at the point (0, 2).

A: To find the equation of a tangent line to the given curve at point (0,2).

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

A:

Q: 8. Find the tangent lines to curve y = x* + 2x – 2x? – 3x + 3 that is perpendicular to line x- 3y =…

A: Given curve, y=x4+2x3-2x2-3x+3 And the line x-3y=2. The objective is to find the tangent lines to…

Q: 12. What is the equation of the tangent line to the curve y = x² – 2x + 1 at point (3,4)? a. у%3D 2х…

A: Since the student has mentioned to solve question numbers (12) and (13), but we can solve only one…

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

A:

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

A: By using equation of tangent line formula, we find the required tangent line.

Q: II. Find the equation of the tangent line to the curve z2+V#j+y² = 19 at the point (1, 4).

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Q: Equation of the tangent to the curve y = 1+eX/2 at x = 0 is O x+2 y =4 2x + y = 0 2y -х- 4 O x+ 2y =…

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Q: Find the equation of the tangent line to the curve x²y² - xy + x - y = 0 at the point (0, 0). Ox+y=1…

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Q: At what point on the curve y = 4 + 2e* – 4x is the tangent line parallel to the line 4x – y = 5? (x,…

A: Given: y=4+2ex-4x   and 4x-y=5

Q: 3 Find the equation of the tangent line to the curve x*y – xy = –2 at the point (-1, –1

A: Given: x4y-xy3=-2 and the points are (-1,-1)

Q: 6. Determine the equation of the line tangent to y = x+ tan r at the point (7, 7).

A: As per the company policy i can answer only first question for you, More than that leads me towards…

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).

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Q: Find the equation of the tangent line at (2,2) on the curve x² + xy + y² = 3

A: Topic = Derivative

Q: Find the points on the curve y = 2x3 + 3x? – 12x + 9 where the tangent line is horizontal. (x, y) =…

A: we have to find the points on the curve where the tangent line is horizontal. y=2x3+3x2-12x+9

Q: Find all​ x-coordinates of points​ (x,y) on the curve y=(x−2)4(x−5)-3 where the tangent line is…

A: Given,          y=x-24x-5-3 where the tangent line is horizontal.

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: A) Determine the equation of the tangent line to the curve xsin(y) – x²cos(y) = 1 at the point (1,4)

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Q: The slope of the tangent line to the graph of xy = In(x² + y² ) at the point (1,0) is :Select one…

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Q: The curve defined by the equation x^2+y^2=(2x^2+2y^2-x)^2 is called a cardioid. Find the equation of…

A: consider the given equation, x2+y2=2x2+2y2-x2 Use implicit differentiation method and differentiate…