Find the slope of the tangent line using the Definition of a Tangent Line for: Y= x + 5X at the point (-2,-6). O m = 1 O m = -6 O m = 5 O m = -2

Q: y = 3x?+1 ; (0,1)

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Q: Find the slope of the tangent line to the curve a? – 2xy + 2y° - 63 at the point ( – 3, – 3).

A: Given : x2 - 2xy + 2y3 = -63

Q: At the given point, find the equation of the tangent line, as requested. y^5+x^3=y^2+10x, tangent…

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Q: Find the slope of the tangent line to the curve - 3a? + xy + 3y³ = 45 at the point (– 3, 3).

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Q: Find the slope of the tangent to the curve r=−6+5cosθ at the value θ=π/2

A: Given curve is

Q: Find the equation of the tangent line at each point x=2cot(a), y=2sin2(a) (-2/(31/2), 3/2), (0,2),…

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Q: Find all values of x where the tangent lines to y = x² and y = x³ are parallel.

A: Slope of both curves are equal

Q: Determine the slope of the tangent line to the curve (;² – 2x – 8) 2 -9 R(x) = at the point where…

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Q: Question 4

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

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Q: Find (a) the equation of the secant line through the points where x has the given values, and (b)…

A: Given f(x)=3x2-5x+7, x=2, x=4

Q: For what value of x is the tangent line to the curve y= x² - 6x +5 horizontal?

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Q: Find the slope of the tangent line to the curve læ? – læy – 3y: - at the point (– 1, 1).

A: Given curve1x2-1xy-3y2=-1To find :Slope of the curve at point -1,1

Q: Find the slope of the tangent line to the curve - 2.x? + 3xy + y – 118 - at the point (3, – 4).

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Q: Find the slope of the tangent line to the curve - 42? – zy + y - 4 at the point (– 2, 2).

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Q: Find the equation of the tangent line to the curve y= (x-3)°(x+2) at the point (4,36).

A: Given,  The curve   y = x-38x+22   We have to find the equation of the tangent line to the curve at…

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 the slope of the tangent line to the curve - 4x – 3ry + 4y° = = 14 at the point (- 3, 2).

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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,

Q: Find the equation of the tangent line to x? – y + y? = 21 at the point (1,5).

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 2? y = 2 + 2ex –…

A: To determine the point on the given curve is the tangent line parallel to the line 3x-y=2.…

Q: Find the equation of the tangent line at (1,2) for x'+2y = 9 y- A= B(x - C)

A: point (1,2)  ; x3+2y2=9 In the given point x is 1, y is 2

Q: Find an eqaution of the tangent line to the curve at the given point. y = √x, (1,1)

A: We have to find the equation of tangent line to the curve: y=x at the point 1, 1 We know equation of…

Q: Find an equation of the tangent line at x = a, y = x² – - X; a = - 2

A: Equation of tangent line ,  y - y0 = m ( x - x0 )  Here m is the slope of tangent line and  ( x 0 ,…

Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

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Q: Find all points on the curve x'y + xy 2 where the slope of the tangent line is -1.

A: consider the given equation of the curve, x2y2+xy=2 to find the slope of the tangent differentiate…

Q: Determine the equation of the curve for which the tangent line at every point has a slope of 25, x =…

A: Topic = Coordinate geometry Correct option = D

Q: Find the equation of the tangent line to the curve 2y? + xy = 5 – 2x², at the point (1;1).

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Q: What is the slope of the tangent line that touches the graph of In y + e2z-1 = 3y – 4x at the point…

A: Given that: lny+e2x-1=y-4x

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Find the slope of the tangent to the curve y = 25* at the point (1, 32).

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Q: Find the equation of the tangent and normal line at the point indicated. Sketch the curve. y = x –…

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Q: Find equation of the tangent line to the curve at the following point.

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the…

Q: Find an equation of the tangent line to the curve xe' +,ye = 5 at the point (0, 5).

A: Topic:- application of derivatives

Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y = X² –2× at the…

A: The definition of the slope of the tangent line at x=c is given by: limh→0fc+h-fch Given: y=x2-2x…

Q: Find all values of x where the tangent lines to y = x and y = x° are parallel.

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Q: Find the equation of the tangent and normal lines to the curve y=sqrt(x) at the point (1,1).

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Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: a) find the slope of curve at point P(1,-3).Find the derivative of the following function.

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 3? y = 3 + 2ex –…

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Q: Find the slope of the tangent line to the curve la? + 4xy + 2y 32 at the point (- 4, 2). -

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Q: Find the slope of the tangent line to the curve - la2 – 3xy + 3y° = 29 at the point (- 1, 2).

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Q: Find an equation of the tangent line to the curve at the given point. y = √ x,  (81, 9)

A: Given: y=x, (81, 9)

Q: At the given point, find the equation of the tangent line, as requested. y^4+x^3=y^2+11x, tangent…

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Q: Find the slope of the tangent line to the curve lx? + 3xy + 3y - 25 at the point (- 4, 1).

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Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: Find the equation for the slope of the tangent line to the curve below at any point (x,y). 2x + 5y =…

A: Given, 2x+5y=3y

Q: Find an equation of the tangent line and normal line to the curve at the given point. y = x* – 2e*,…

A: Given curve is y=x4-2ex. To find the equation of the tangent line and normal line to the curve at…

Q: image attached

A: Use chain rule:

Q: Find all values of æ where the tangent lines to y = x³ and y = x* are parallel.

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