2) Use a derivative sign chart to graph the following parameterized curve: dx -5(1-3X-7). dt 4(1-1Xt-6)

Q: Find the equation of the tangent line to the curve at the given point. y = 5x – 2x, (1, 3) y =

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Q: Find the equation of the tangent line to y = 4cos(3x) at x =

A: We have to find the equation of tangent line

Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: Find an equation of the tangent line to the given curve at the specified point. 2x (2, 1) %3D X + 2'

A: Equation of a line having slope m pass through the point (x1,y1) is       (y - y1) = m (x -x1)

Q: y = 5x³

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Q: Find the equation for the tangent line of the graph of y = x° at (0,0).

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

A: At what point on the curve  y= 1+3ex -3x is the tengent line prallal to the line 2x -y =5 . Here i…

Q: Find an equation of the tangent line to the curve at the given point. 2x + 1 y x + 2 (1, 1)

A: Given, y=2x+1x+2Point=1, 1

Q: Find the equation of the tangent line to the curve y³+2xy+x³ = 0 at (-1, –1).

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Q: What is the slope of the tangent line that touches the graph of In y + e2=-1 = 3y – 4x at the point…

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Q: Find an equation of the tangent line to the curve at the given point. y =  4x x + 3 ,…

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Q: Find the equation of the tangent line at the given value of x on the curve. 3y +xy-y%3D375X"; x-1…

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Q: Find the equation of the line normal to the tangent at the point (1,2) x’y+xy² = 6. on the curve

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Q: Find the equation of the tangent line to the curve at its point of inflection. y+x^3+3x^2+2

A: The given equation is y=x3+3x2+2. Compute the point of inflection by equating y''=0 as follows.…

Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: Find the equation of the tangent line to the curve defined implicitly by the equation 5ey-1 = 6 – xy…

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Q: Find an equation of the tangent line to the curve at the given point. y = 5x/(x+4),    (1, 1)

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Q: Find an equation of the tangent line to the curve at the given point y = 4x2 – x, (1, 3)

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

A: See the attachment

Q: Find the equation of the tangent line to the curve of y = 1/x at the point (3, 1/3)

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

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Q: ,4 Consider the curve whose equation is x4 + y* + 3xy = 5. The dy slope of the tangeant line, at the…

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Q: Find the equation of the line tangent to the graph of y = 3x cos x at the point (π, −3π).

A: Given Data: Equation: y=3xcosx Point: (x1, y1)=(π, −3π) The derivative of the given equation of…

Q: Find the equation of the tangent line to y = x2 at the point where x = 2.1.

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Q: Find an equation of the tangent line to the graph of the equation x2+9xy +y2 =25 at point (0, 5)

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Q: Find the equation of the tangent line at the point (1,−1) to the curve defined implicitly below. x6…

A: Given equation of curve x6 + y2 = 2let the tangent line be y = mx+c where m is the dy/dx and c is…

Q: Find the equation of the tangent line to the curve y = (5 – 3x)² at z = –5.

A: To find the equation of the tangent line to the below curve at x = -5. y=5−3x2

Q: Find the equation of the tangent line at the point (1,−3) to the curve defined implicitly below. x3…

A: The line is tangent to the given hyperbola at (1,-3).Tangent line is a straight line.Therefore, the…

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

A:

Q: Find an equation of the tangent line to the graph of the function                         y = 4x…

A: The given equation is y=4xarccosx-1.   Find the slope of the tangent line by differentiating the…

Q: Find the equation of the tangent line at the given value of x on the curve. 3y +xy-y = 192x*; x=1

A: Given eqn : 3y3+xy-y=192x4  ,  x=1 So when x =1 3y3+xy-y=192x4=3y3+y-y=192= y3 = 64= y = 4 Now find…

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

A: Given curve is y=x. To find equation of tangent line at point 1,1. Differentiating the given curve…

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 3x)1, (0, 1)

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

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Q: 2x2 y = Зх — 1

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Q: Find an equation for the tangent line to y =-3x- at the point x =-1.

A: We have to find equation of tangent line to the curve y=-3x2-1x3 at the point x=-1 To find the…

Q: Find an equation of the tangent line to the curve at the given point. y = 4*, (0, 1)

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Q: Find an equation of the tangent line to the given curve at the specified point. y = (4x)/(x+4)  (4,…

A: To find the equation of the tangent line to the given curve at the specified point, Differentiate…

Q: Find the equation of the tangent line at the given point on the curve. x3 + 2xy – y2 = 11 at (2,3)

A: We need to find the equation of the tangent line at the given point on the curve. We have x3+2xy-y2…

Q: Find the equation of the tangent line to the curve y=x3 at x0=1.

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Q: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

A: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

Q: Find the equation of the tangent line to y = 2**-3*+1 at x = 4. y =

A: Given: y=2x2-5x+1 To find: The equation of the tangent line to y=2x2-5x+1 at x=4

Q: (e) Discuss the method to find the points of inflexion of a curve without using higher order…

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Q: Find the equation to the tangent line to the curve y = Vx³ – 2 where x 3 3

A: Please refer the attached image for complete solution.

Q: Find an equation of the tangent line to the curve at the given point:  y=(2x+1)/(x+2) ,    (1,1)

A: To determine the equation of the tangent line.

Q: Find an equation of the tangent line to the given curve at the specified point. 4x y = X + 1 (3, 3)

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Q: Find an equation of the tangent line to the curve 1+ 16x2y tan (x- 2y) at the point (T/4,0). %3|

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

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Q: Determine the equation of the tangent line to the graph of y = y2 – x² at the points (분 ) and (블, )

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Q: Find the equation of the tangent line at the given value of x on the curve y° + xy° - 4 = x + 4y“;…

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