(2.;v3). 1 Find the equation of the tangent line to x? +y²: = 1 at Use exact values in y = mx + b form.

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 an equation of the tangent to the curve x = 5 + In t, y = t2 + 2 at the point (5, 3) by two…

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Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the…

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Q: Find the equation of the tangent line to the curve y=2sin(x) at the point (pi/6, 1) in y=mx+b

A: Using equation of tangent formula.

Q: Find an equation of the tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0. а.…

A: Topic:- application of derivatives

Q: 4 Find all the points on the curve x2 + xy + y? = 3 where the tangent to the curve is a vertical…

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Q: At what point on the curve y = V-8 + 2x is the tangent line perpendicular to the line 8x + 4y = 1?

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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: Find an equation of the tangent line to the curve y = 2x sin x at the point (, n) O A. y = -2x O B.…

A: According to our guidelines, we can answer only one question, other questions can be reposted.

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: 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: Ħ! Find the equation of the tangent line to the graph of f(x)= and is paralle I to the line x+2y=6…

A: A parallel line will have an equal slope.

Q: Find the equation of the tangent to the curve x² +3y² = 6y at the point (1, ½)

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Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point (6,0)? A y = x -…

A: Given, The equation of the curve ey+cosx = 1 We have to find the equation of the line tangent at the…

Q: m 10. PREVIEW ONLY -- Find an equation of the tangent line to the curve y = 9° at the point (1,9).…

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Q: #1 Find the equation of the tangent line to y:R @ x- -4 Provide answer in point-slope form dy %3D

A: Differentiate at given point then use equation of line

Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

A: The given curve is: x=6+ln t  ,     y=t2+5  ,     (6, 6)

Q: Find the equation of the tangent line to the curve y = 2 In (22 at the point (1, 2) . (Hint:…

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Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1). A y=2 B) y = x…

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Q: Find the equation of the tangent line to the curve at the given point. y = 9x – 8/x, (1, 1) %3D

A: Given,           Equation of the curve is y = 9x -8x  and point = (1,1)

Q: Find the equation of the tangent line to the curve at the given point. y = V2x + I, (4,3) y =

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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: Find the equation of the tangent line at the point (−2,2) to the curve defined implicitly below. 4y2…

A: We have to  find tangent line to curve at given point at (-2,2).Cirve equation is given by:

Q: Find an equation for the tangent line to y=f(x) and the specified point Answer in y=mx+b form

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Q: What is the equation of the tangent line to the curve y = at point (0, 0)? O none of the choices O y…

A: Given :      y = 3√x    Point : (0 ,0)

Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of…

Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)

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Q: Find an equation of the tangent plane to the graph y = x² + 2xz at (1,3, 1). (Possible Answer: 4r –…

A: We have to find an equation of the tangent plane to the graph y=x2+2xz at 1,3,1.

Q: 2- Find the equation of the tangents to curve given parametrically by Y= sin(x²) + 1 at (x,y)= (…

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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: 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: At what point is the tangent line to the curve y° = 6x² perpendicular to the line 2x – y – 1 = 0?…

A: Given: y3=6x2..(1)2x-y-1=0y=2x-1...2   As we know that, iI two lines are perpendicular to each other…

Q: 2- Find the equation of the tangents to curve given parametrically by Y= sin(x²)+1 at…

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Q: The equation of the tangent line to the curve x2 + y? = 25, at (8,-12) is. %3D 8. (x +8) + 12 12 y =…

A: differentiate equation with respect to x. 2x+2y(dy/dx)=0 (dy/dx)=-x/y so, m=(dy/dx)|(8,-12)…

Q: 1- Find the equation of the tangent to the 2(x2 + y²)2 = 25(x² - y?) at (3,1) %3D

A: According to guidelines we should have been able to do only one question at a time #1

Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)…

A: Slope is already given. And for slope we have to find dy/dx  and then simplify.

Q: 1. Find the equation of the tangent line to the curve defined by the equation In(xy) + 2x – y + 1 =…

A: Given: lnxy+2x-y+1=0 for finding equation of tangent at point12,2, we need to find slopem of tangent…

Q: - Find an equation of the tangent line to the curve sin(r+y) = 2y – 21 at the given point (-7, –x).

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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: What is the equation of the tangent line to the curve y = at point (0,0)? O none of the choices O y…

A: Tangent line

Q: I attached a picture of the question

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Q: 18 of 20 Find the equation of the tangent line to the curve y = Vx+2 at the point (2, 2). y = 금z + 2…

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Q: At which point on the curve y = -1+2e* 3x is the tangent line parallel to the line 3x – y = 5?

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Q: The line y = -4x +b is a tangent line to the curve 3y²r + sin(2y – 4) = /(2y) at (a, 2).

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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 an equation of the tangent line to the curve at the given point by both eliminating the…

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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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