A curve has equation 2x3 4x²y + 3y2 = 3. - dy Find the value of at the point (2, 1). dx

Q: d the equation to the tangent line to the curve y= 4 -r* where x=1.

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Q: Find an equation for the line in the xy-plane that is tangent and normal to the curve x³y² + y² = x…

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Q: . Find an equation of the tangent line y = e* that is parallel to the line x – 4y = 1.

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Q: Find the equation of the tangent line to y = 2ex at x = 7.  (Enter your answer as an equation using…

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Q: Find the slope of the tangent line to the curve V4r + y+ VIY = /13 + V10 at the point (2, 5). The…

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Q: Find dy/dx when 4x2+3x3y-2y2=56 The slope of the tangent line to this curve at the point (2,2) The…

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Q: Use Bernoulli's Equation dy/dx=y-xy3e-2x

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Q: Calculate dy/dx for the equation y4 + xy = 8x3 − 22x + 16 at the two points on the graph with…

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Q: Differentiate implicitly to find Then find the slope of the curve at the given point. x²y - 3x - 4 =…

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Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x)…

A: We know, ∫xndx= x(n+1)/(n+1)

Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (64, 8)

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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: The curves y = x2 + ax + b and y = cx - x2 have a common tangent line at the point (1, 0). Find a,…

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Q: (b) Find the equation of the line normal to the tangent at the point (1,4) on the curve x'y+ xy =…

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Q: Find the coordinates of the points on the curve y= x' + 5x + 3 at which the tangent: makes an angle…

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Q: y = x3 + 6x² + 9x – 2 at x = 0 -

A: topic - equation of tangent and normal Line to the curve

Q: find y in terms of x  dy/dx = x^2 (8-x^3)^5  curve passes through (2,5) y=

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Q: Find the equation of the tangent line at the given point on the curve. 2y- Vx 28, (16,4) y=D

A: 2y2-x=28,    16, 4. Slope of the tangent line is the derivative of the given function at the given…

Q: d two coordinate points at which the tangent line to the curve given by x² – 2x + 4y² = 15 is…

A: if the tangent is vertical then dydx will be ∞x2-2x+4y2=15differentiate 2x-2+8ydydx=04ydydx=1-xsince…

Q: #1 Find the equation of the tangent line to y:R @ x- -4 Provide answer in point-slope form dy %3D

A: Differentiate at given point then use equation of line

Q: I. Find all intervals on which the equation is normal. 1. (2x + 4) dy +x - y = 2 dx2 dx

A: Given

Q: 2.x²y+ 3xy? = 2x + 55

A: We will find the value of dy/dx and the equation of the tangent line at point (5,1) in the following…

Q: The families of curves represented by the solution of the equation dy dx for n = - 1 and n = + 1,…

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Q: Consider the equation sin(x+y) = 2x-y^2. Find dy/dx and find the slope of the tangent line to the…

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Q: The slope of a curve at any point (x,y) is given by dy/dx= 8 - x.  If (2,14) lies on the curve, find…

A: find the equation of the curve.

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: (b) Find the equation of the line normal to the tangent at the point x’y+xy² = 6.

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Q: Find an equation of the tangent line to the curve atthe given point.

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: a) Given that straight line y + x=2 is tangent to the curve y =x² – 6x + q. Find value q.

A: Given,  y+x=2⇒y=-x+2

Q: find the value of the derivative y’ = dy/dx ye^2x=2 y+1, at ( 0, -1 )

A: Given data:     The given equation is: ye2x=2y+1. The given point is:(x1, y1) =(0,-1).…

Q: Consider the curve defined by the following equation: ax2y-4xy2+5x=b where a and b are unspecified…

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Q: Find the equation of the family of curve having the given slope, and the equation of the family…

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

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Q: Consider the curve given by y2 + (1+x³)3 = xy + 8. Find the equation of the tangent line to the…

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

Q: The curve y= ax² + bx +c passes through the point (1,2) and is tangent to the line y = x at the…

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

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Q: The equation y2(y² – 4) = x²(x² - 5) is known as the devil's curve. Give an equation for the tangent…

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Q: Find an equation of the tangent line to the curve, x^2-xy-y^2=1 at the point (2,1). (use implicit…

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Q: -2x²+2x+1 Find the equation of the tangent line to the graph of F(x) evI dy at x = 0. sech my

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Q: Find the slope of the tangent line to the curve x+y3D6 xy at the point (3,3). (a) 0 (b) -1 (c) 1 (d)…

A: To find: slope of tangent line at the point (3,3) to the equation of curve given below.

Q: dy Find in simplest form in each of the following dx - 5 1. y = - x³ – 4x² + 7x – 5 in

A: Given that: y=-5x3-4x2+7x-5     NOTE: As per our answering guidelines, we can only answer 1 question…

Q: Find the equation of the tangent line at (2,2) on the curve x² + xy + y² = 3

A: Topic = Derivative

Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

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Q: find the equation of the line tangent to the curve y2+ exy=4 at point (0,2)

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Q: 2- find dy/dx ex = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x - 2x?,…

A: 2. Given function is: e2x=sinx+4y Differentiating with respect to x we get,…

Q: Find the equation of the line tangent to the graph of y = 3e" at r = 4. Tangent Line: y

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Q: Find an equation of the tangent line at the given point.

A: We find dy/dx at (2,4)

Q: The curve defined by the equation x^2+y^2=(2x^2+2y^2-x)^2 is called a cardioid. Find the equation of…

A: consider the given equation, x2+y2=2x2+2y2-x2 Use implicit differentiation method and differentiate…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.