Find the equations of the tangents and normal to the following curves: y2 + 8x = 0, parallel to x + y + 4 = 0.

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: Given the equation of curves: y = x2 + 7x + 6 and x - 2y = 6. Find the slopes of the tangents of the…

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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 (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: a). Slope of the curve is the derivative of the curve at the given point. So differentiating given…

Q: ) Find the slope m of the tangent to the curve y = 9 + 5x² – 2x3 at the point where x = a. 10а + 6а?…

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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…

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Q: Determine an equation of the line tangent to the curve at the given point. 4x² + 4xy + 3y 51, (3,1)

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Q: Determine the equation, in y= mx + b form, of the line that is perpendicular to the slope of the…

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Q: Find an equation for the tangent to the curve at the given point. y=x-x2 (2, -2) O y = 5x + 4 O y=…

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Q: Find the equations of the tangents and normal to the following curves: x2 – y2 = 15, parallel to 4x…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,          x=t2-4 , y=t3+6t , t=3To find: The equation of the tangent line.We know that,…

Q: Find the constant k so that the line with equation y = kx is tangent to the circle with equation (x…

A: Given:The line y = kx is tangent to the circle (x - 3)^2 + (y - 5)^2 = 4.

Q: Find the slopes and equations of the lines tangent to y = f(x) at the given point.

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Q: A coordinate of the point on the curve of y=2x3−3x−6, where the tangent at the point is…

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Q: Find the equation of the line segment tangent to the curve y−2x2−1=0y−2x2−1=0 which is parallel to…

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Q: FInd the equations of the tangent lines to the curve y=(x-5)/(x+5) that are parallel to the line…

A: Given:The equation of the curve is y =(x-5)/(x+5).The equation of the line is x-10y =2.

Q: Find the length of the curve with equation x2 (y + 1)3 from the point where æ = 0 to the point where…

A: Since the given curve is  x2=y+13      from point x=0 to x=33. Given curve can be written as x=y+132…

Q: Find an equation of the tangent to the curve at the point (1, 81) I = e', y = (t– 9)2

A: Given: x=et,y=(t-9)2   at (1,81)

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line.…

A: Given equation of a graph is 4x2+y2-8x+4y+4=0 Since we need to find the points where the tangent to…

Q: Find the equation of a line tangent to the curve xy = (√xy -x) + 1 at the point (1, 2). A. y= 2-x…

A: Here given equation as Differentiate with respect to x

Q: Find the equations of the tangents and normal to the following curves: x2 = 3y, perpendicular to x…

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Q: Find the equation of the tangent to y= 5e" that is parallel to y- 5x. a) y= 5x-5 b) y= 5x+5

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

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the slope of the tangent to the curve y = 3e^(2x) at (0,3)  a. 3  b. 2  c. 6  d. 12

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

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Q: Determine the equation of the line tangent to the curve   at the point (-1,1) and reestablish a…

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

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Q: What are the values of m and c if the equation of the tangent line is given by y = mx+ c?

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Q: Show At what points does the equation of the line tangent to the curve y=1/x+3 have a slope equal to…

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Q: Find the equation of the tangent and length of the tangent to the curve y= x2+1 at (1,2)

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Q: Sketch the figure of the described situation in the problem and then solve. Determine the equation…

A: Tangent and normal line: At the point of tangency, the normal line is defined as the line that is…

Q: Find the equations of the tangent lines to the graph of x2(x2 +y?) = y2 when x =

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Q: Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. y…

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Q: Find an equation for the tangent to the curve at the given point. y = x2 - 4, (2,0) О А. у32х- 8 В.…

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Q: find the equation of the line TANGENT of the given curve for x=pi/6 y=5cos(2x)

A: Explanation of the answer is as follows

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

A: Solution of given question is written in below steps.

Q: For the curve whose equation is given by x2 - 3xy + y2 - 4x + 2y +1 = 0, find the slope of the…

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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: find the slope of the curve at the point indicated y = x - 1/x + 1, x = 0

A: Given, y=x-1x+1 and the point x = 0

Q: Find equations for the tangents to the circle (x - 2)2 + ( y - 1)2 = 5 at the points where the…

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Q: Consider the curve that is given by the following equation 2/3 + y7/3 = 5 Determine the equation of…

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Q: Find the equation of the line tangent to xe' + ye = 1 at the point (0, 1).

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Q: Determine the equation of the tangent to the graph of the equation xy – 2x'y-3ry + 5y – 4 = 0 at the…

A: To find the equation of tangent to the given equation at (1,2).

Q: Find the equations of the tangents and normal to the following curves: 25x2 + 4y2 = 100,…

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

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Q: Find an equation for the line that goes through the point (0,0) so that the tangent of the angle it…

A: Given, (x1,y1)= (0,0) tangent of the angle it makes with the x-axis=0

Q: The equation of the line that is tangent to the curve y=2x3−6x and is perpendicular to 18y+x+3=0…

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

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…