Find the equation of the tangent line to the curve at the given point. In (x² + 2x + 1) ; (-2,0) Note: The result should be an equation, be sure to include y =in your answer.

Q: Find the equation of the tangent line to the curve x' + y' = 6xy at (3,3). Write the equation in…

A: Given the curve x3+y3=6xy We need to find equation of the tangent line to the given curve at (3,3)…

Q: Find the equation of the tangent line at the given point on each curve. :x2 + y2 = 100; (8, -6)

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: Find an equation of the tangent line to the curve at the given point. y = 4x – 3x, (2, –4)

A: Given, y=4x-3x2Point=2, -4

Q: Find an equation of the tangent line to the curve at the given point. у 3 + 5x2 — х, (1, 5)

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Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

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Q: Find the slope of the curve, equations of the tangent and normal lines to the given point. 8x y at…

A: Solution

Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x2 - 12x + 1, (5, 16)

A: Solve by eq

Q: リ= 3x3-x2+6

A: Given query is to find the equation of the tangent.

Q: Find an equation of the tangent line to the graph at the given point. 3(x² + y2}² = 100(x? – y²),…

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

A: Use derivative for finding the equation of tangent line.

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the…

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Q: Find the equation of the tangent line at the given point on curve. x2y2 = 81,   (-1, 9)

A: Given function is  x2y2 = 81 Equation of tangent line is given by, y-y1=mx-x1

Q: Find the equation of the tangent line to y=−6/x^2 at x=−2. Write your answer in slope-intercept…

A: The equation of the curve is y = -6x2 To evaluate: The equation of the tangent line to the given…

Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask…

Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: We have to find an equation of the tangent line to the curve at the given point.…

Q: Write the equation of the tangent line to the curve (a lemniscate) 2(x2 + y²)“ = 25(x² – y²) at the…

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Q: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

Q: Find an equation of the tangent line to the graph at the given point. (x +2) + (y- 3) = 37, (-3,-3)

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Q: Find an equation of the tangent line to the curve at the given point. x + 5 y = X - 4 -* (3, -8) y =

A: Solution: The objective is to find an equation of the tangent

Q: The slope of the tangent line to a curve is given byƒ′(x) = 8x2 + 9x - 5.If the point (0, 2) is on…

A: The slope of the tangent line to a curve is given as ƒ′(x) = 8x2 + 9x - 5 We can write the above…

Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

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Q: Find an equation of the tangent line to the curve at the given point. x2 (4, 16) y

A: Given ex2-y=x2y To find equation of tangent at the point 4,16

Q: The slope of the tangent line to the curve  y=3x^3 at the point (-5,-375) is:? The equation of this…

A: Consider the given: y=3x3Differentiate w.r.t. "x"dydx=9x2Find the slope at…

Q: Find an equation of the curve whose tangent line has a slope ofƒ′(x) = x2/3,given that the point (1,…

A: Given: f'x=dydx=x23 For finding equation of curve, we will use variable separable method So,…

Q: Find an equation of the tangent line to the curve at the given point. x + 4 (4, -8) x - 5

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Q: (x)%3D 3x2- 12x +

A: The function given is  fx=3x2-12x+1 at the point 0,1 . The derivative of the function fx=3x2-12x+1…

Q: Find an equation of the tangent line to the curve at the given point. у %3 4х — Зx?, (2, —4)

A: The objectives to find the equation of tangent line to the curve at the given point.

Q: find an equation of the tangent line to the graph of the given point. f(×)= √x(x-8), (16,32)

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Q: Find the equation of the tangent line at the given point on each curve. x2 + y2 = 25; (-3, 4)

A: Find the equation of the tangent line at the given point on each curve. x2+y2=25  ;   (-3,4)

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

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Q: Find an equation of the tangent line to the curve at the given point. y = 4x^2 − x^3, (1, 3)…

A: The curve y = 4x2 – x3, we have to find the equation of the tangent line to the curve at the point…

Q: Find an equation of the tangent line to the curve at the given point. y =√(4-77x) ,  (−1, 9)

A: We have to find tangent

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: Given, y= x³-4x²+9 Therefore, dy/dx = 3x²-8x Also given, x=1 Substituting in the above equation we…

Q: Consider the following equation and point. f(x) = 3x2 – 6, (-1, -3) Find an equation of the tangent…

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x - 14x + 1, (5, 6)

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Q: Find an equation of the tangent line to the graph at the given point. x2y2 − 9x2 − 4y2 = 0,…

A: Given that, x2y2 - 9x2 - 4y2 = 0 Points are :  (-4, 23) We have to find the tangant line to the…

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: we will find tangent line to curve f(x) at x=1 for slope we will use power rule of derivative .

Q: The slope of the tangent line to a curve is given by f'(x) = 2x+ 9x - 5. If the point (0,4) is on…

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Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: Formula: The equation of a line passing through x1,y1 and having slope m is given by y-y1=mx-x1. The…

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the…

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Q: Find an equation of the tangent line to the curve at the given point.y = x4 + 5x2 − x, (1, 5)y=

A: Equation of the curve: y = x4 + 5x2 − xSLope of the curve = dy / dx

Q: Find an equation of the tangent line to the curve at the given point. y = 3x2 – x³, (1, 2) y =

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Q: Find an equation of the tangent line to the curve at the given point y = x3 - 2x + 2, (2,6) y =

A: From the given data:

Q: Find an equation of the tangent line to the graph at the given point. x²y? - 9x? - 4y² = 0, (-4,…

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Q: Find the equation of the tangent line at the given point on each curve.: x2y3 = 8; (-1, 2)

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Q: Find the equation of the tangent line to the graph of the given equation at the indicated point.…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x³x² + 2, (1, 3) y = 6x²…

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