What is the equation of the tangent line and normal line to the curve y = -8 at (4, – 4)? Оа. TL: 2x + y -4%3D0 NL: x- 2y – 12 = 0 O b.TL: 2x -y + 4 = 0 NL: x + 2y + 12 = 0 Ос. TL: х + 2у + 12 %3D0 NL: 2x - y+ 4 = 0 O d.TL: x - 2y – 12 = 0 NL: 2x +y - 4 =0

Q: Find equations of the tangent line and normal line to the curve at the given point. yy = √xx xx+1 at…

A: According to the given information, it is required to determine the equation of tangent and normal…

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A: Given the equation y=3x2−4x+5

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A: Tangent is a line to the curve that just touches the curve at a particular point. Normal is a line…

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A:

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A:

Q: Find the equation of the tangent line to the curve y= (1+2x)2 at the point (2, 25). y = %3D

A: This question is based on application of Derivative.

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A:

Q: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

A:

Q: The line is tangent to the curve y=x2−3 at (2,1). What is the equation of the normal line?

A: On solving this we will get

Q: Find the points on the curve y 2x3+ 3x2- 12x + 9 where the tangent line is horizontal. (x, y)…

A: The above question is answered below

Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at 4'2

A:

Q: (A) Find the equation of tangent and normal to the curve 2x2 + y = 9 at (-2, –1).

A: To find the equation of tangent and equation of normal at the given curve .

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A: we have to find an equation of the form y=f(x) for a curve with x-intercept 2 whose tangent line at…

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

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A:

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 9 where the tangent line is horizontal. (x, y)…

A: According to the given information it is required to calculate the points on the curve where tangent…

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A: Find the slope of the tangent line using implicit deffentiation

Q: Compute Δy Δxfor the interval [4,10], where y= 2x-6   ________   What is the slope of the tangent…

A:

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A:

Q: Find the equation of the tangent line and normal line to the given curve at the specified point. y =…

A: The given equation is,

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A: Since first subparts question statement missed. Answer 2 and 3

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A:

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

A:

Q: Find the equation of the tangent line and normal line to the curve r+4.ry +y = 13 at (2,1). %3D

A: Let's find.

Q: Find equations of the tangent and normal line to the curve y = 3Vx – 2Vx4 at (1,1) |

A: NOTE: Refresh your page if you can't see any equations. . to find the slope take the derivative

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A: To find the slope we need dy/dx

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A:

Q: What Is the equation of the tangent line and normal line to the curve y= at (4, -4) O a. TL:…

A: Topic = Application of Derivative  Correct option = d

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A: Since you have asked multiple questions and with each question having multiple part i will solve the…

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A: Product of slopes of two perpendicular lines is -1.

Q: Find an equation of the normal line to y = x2 at the point (2, 4). (The normal line at a point is…

A: y=x2 Differentiating with respect to x, we get dydx=2x Now slope of the tangent line at 2, 4 is,…

Q: Determine the equations of the tangent and normal to the curve y=2xex at (0,0)

A:

Q: Find the equation of normal to the curve y = 2x – 4x² +x- 6 at point (2,–4)

A: Given y=2x3-4x2+x-6 and point is P(2,-4)We need to find the slope i.e. y'dydx=ddx(2x3-4x2+x-6)We…

Q: What is the equation of the tangent line and normal line to the curve y = at (4, - 4)? O a. TL: x +…

A: We will find the equation of tangent line and normal line as following.

Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

A:

Q: Find equations of the tangent line and normal line tothe curve at the given point.   y= x2 - x4 ,…

A: Given, y=x2-x4, 1, 0

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A:

Q: Find the equation of tangent and normal for the curve xsin2y = ycos2x at ,

A:

Q: Find the equations of the tangent and the normal at the point indicated. y = x2 - 2x at its…

A: Given that - y = x2 - 2x at its points of intersections with the line y = 3

Q: At what points on the given curve x = 2t3, y = 4 + 8t - 11t2 does the tangent line have slope 1?…

A:

Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С.…

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is…

Q: 7. What is the equation of the tangent line and the normal line to y = x² – 4x + 2 at (4,2)…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: 2. What is the slope of the line tangent to the curve 8x3-y²=4 at the point (1,-2)? CAL normal line…

A:

Q: 4. Find the equation of the tangent line to the curve at the specified value of the parameter: x =…

A:

Q: Calculate the gradient of the tangent line to the curve y3 - x3 -xy = 1at the point (-1,0).

A:

Q: 6. Find the equation of tangent and normal for the curve xsin2y = ycos2x at

A: Given that: x.sin2y=ycos2x