Find the slope of the tangent line to the curve defined by 4x + xy – y* 1760 at the point (8, –4). e slope of the curve at the point (8, -4) is

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 5x + 1), (5, 0) y…

A: Given y=lnx2-5x+1 We have to find tangent line at (5,0)

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

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

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

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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 an equation of the tangent line to the curve y = 7tan(5x) at the point (0, 1)

A: According to Bartleby only first question can be solved at a time Please find the solution

Q: Find the equation of the tangent line at the given point on the curve. 3y² - Vx = 44, (16,4)

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Q: Find the equation of the tangent line to the curve y²(y² – 4) = x² (x² – 5) at the point (0, –2). |

A: Equation of tangent line is given by:y-y1=dydxx=x1·(x-x1)      .............[1]So first find dydx at…

Q: Find the equation of the tangent line to the curve at the given point. y: (6, 1)

A: Recall: Point - slope form : y-y1= m x-x1 ; where , 'm' is the slope and x1,y1 are the given…

Q: Find the slope of the tangent line to the curve. √(3x + y) + √(2xy) = √7 + √4 at the point (2,1).

A: Given: 3x+y+2xy=7+4 we know that slopem of tangent at point2,1 is given by m=dydx|2,1 so, finding…

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: Is there a formula to do this? What is the process?

A: Given curve is: First, find the slope of tangent line:

Q: Find an equation of the tangent line to the curve atthe given point. y= In (x3 - 7) , (2 ,0)

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x² – 6x + 1), (6, 0) y…

A: As per guidelines we have to solve one question Please repost other questions again

Q: Find the slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

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Q: Find the equation of the tangent line to the graph of y = x² + 2e* at the point (0, 2).

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

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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: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

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Q: Find an equation for the tangent line to the graph of y – 3xy + x2 +1 = 0 at the point (2, 1).

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Q: Find the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 7x + 1), (7,0) y =

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Q: Find the slope of the tangent line to the curve −x^2−3xy+3y^3=−7 at the point (−1,−1)

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

A: Given: y=2x+1x+2, 1,1 for finding equation of tangent, we need to find slope of tangent  we know…

Q: Find the equation of the tangent line at the given point on the curve. 3y - Vx = 23, (16,3) y =

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Q: Find the slope of the tangent line to the curve defined by 3x + xy - 2y = 56 at the point (2, 5).…

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Q: Find the slope of the tangent line to the curve defined by 4x + xy – y = 1760 at the point (8, –4).…

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Q: Find the equation of the tangent line to the curve at the given point. y = V2x + I, (4,3) y =

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Q: Find the slope of the tangent line to the curve 4x^2+1xy+3y^3=240 at the point (3,4)

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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: Find an equation of the tangent line to the graph of x° + 3xy² + y = 15 at the point (1, 2). y=

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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 all the points on the curve x^2y^2+xy=2 where the slope of the tangent line is equal to -1

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

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

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Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

Q: Find the equation of the tangent line at the point (1,0) to the curve implicitly defined by In(x +…

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Q: Find the slope of the line tangent to the curve y = cos2 x at the point(−π/3 , 1/4)

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Q: Find the equation of the tangent line to the curve y = (1 + 2x)² at the point (4, 81). ソ=

A: First find the slope of the tangent line with the help of derivative of the given curve than write…

Q: Find the slope of the tangent line to the curve 1x² − 2xy + 1y³ = 13 at the point (4,3).

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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 the slope of the tangent line to the curve 2x² 4xy + 4y³ = 10 at the point ( − 1, 1).

A: SOLUTION-

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

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Q: Find the slope of the tangent line to the curve 1x^2+1xy+4y^3=8 at the point (−3,−1)

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x² - 3xt 1), (3, 0) y…

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Q: Find the equation of the tangent line to the graph of x2y2+4xy = 0 at the point (-4, 1).

A: Given: x2y2+4xy=0  at point -4,1

Q: Find the slope of the tangent line to the curve 1x^2+1xy−2y^3=160 at the point (−4,−4)

A: The objective of the question is determine the slope of the tangent linen to the given curve.

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.