dy Given the equation below, find dx - 45x' + 10x60 y + y° - 34 dy dx Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in mx + b format

Q: dy Given the equation below, find dx - 30x³ + 8x45y + y" : - 21 dy dx Now, find the equation of the…

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Q: dy Given the equation below, find da 9æ° + 3z"y+ y° = 13 %3D dy da Now, find the equation of the…

A: Given : Function 9x8 + 3x45y + y6 = 13     To find : Derivative of the given function dydx?

Q: dy Find given the equation 18x + 10x18y + y8 = 29. dx dy da Now, find the equation of the tangent…

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Q: Find dr when 5z? + 3z'y –- 3y* = 20. dy dz The slope of the tangent line to this curve at the point…

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Q: Find the equation of the tangent line to the curve (piriform) y^2 =x^3(7-x) at the point (1,√6) a…

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Q: ven the equation below, find dr 30x² + 5x¹5y + y¹0 = 36 I w, find the equation of the tangent line…

A: We will find the tangent equation and slope.

Q: dy Given the equation below, find 16z? + 5z"y + y* = 22 dy dr Now, find the equation of the tangent…

A: Given y=16x2+5x16y+y3-22⇒ddx(16x2+5x16y+y3-22)=5y*ddx(x16)+16*ddx(x2)+ddx(y3)-ddx(22)We know that…

Q: dy Given the equation below, find de 1722 + 8x8y + y° = 26 dy dx Now, find the equation of the…

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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: d?y 1 C. Given vx +Vy = 2, show that dx2 3 x2 D. Find the equation of the tangent line to the curve…

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Q: dy Given the equation below, find dx 20 - 30x° + 4xy + y° = - 25 8 dy dx Now, find the equation of…

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Q: y° – y = x + 3x

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Q: dy Given the equation below, find dx - 1528 + 10260 y + y° 4 dy dx Now, find the equation of the…

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Q: dy Find dz when 3z + 3r'y – 2y = 28. dz The slope of the tangent line to this curve at the point (2,…

A: Please see the explanation below

Q: 2) Consider the curve defined by -8x² + 5xy + y³ = -149 dy a) Find dx b) Write an equation for the…

A: solution is given below

Q: A) Find in terms of x and y dx B) Write the equation for the tangent line where x = 2 and y = 1.

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Q: dy Given the equation below, find dx + 5x®y+ y0 = 36 dy da Now, find the equation of the tangent…

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Q: Find an equation of the line tangent to the following curve at the given point. 17 = 1; 15,- 64 8 dy…

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Q: dy Given the equation below, find dæ 6æ + 2ay+ y = - 3 18 4 %3D dy dx Now, find the equation of the…

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Q: dy Given the equation below, find dx - 1423 + 6x28y + y° - 7 dy 212²(1 – 4225y) dx 3x28 + 4y7 Now,…

A: To find: The tangent line to the curve at 1,1. Given: The equation of curve is -14x3+6x28y+y8=-7 and…

Q: Find the equation for the curve f (x) at the point (x, y) meet the following conditions dy / dx = 4x…

A: A curve is a function with equation of the form y=f(x). A differential equation is an equation in…

Q: (c) (15) Let y3 + 2xy + x = 0. Find . Then find an equation for the line L tangent to the graph of…

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Q: nswer two only: [25] M W Find the equation for tangent to the curve y = x + cos(2x²) at x = 2.

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Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

A: Given query is to find the derivative and equation of the tangent.

Q: Find the equation of the tangent line to the curve (piriform) y^2 =x^3(7-x) at the point (2,√40) a…

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Q: dy Given the equation below, find dx - 22a8 + 5æ33y + y° = 16 %3D dy dx Now, find the equation of…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: dy Given the equation below, find dx 32a + 9a64y + y" = 42 dy dx Now, find the equation of the…

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Q: Consider the curve defined by the equation y^2 + 4x^2 = 3 - 2y^2 a) find dy/dx b) find the…

A: Consider the curve defined by the equation y2 + 4x2 = 3 - 2y2 a) find dy/dx b) find the point(s) for…

Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

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: dy Given the equation below, find dx – 16x* + 3x16y + y° : - 12 dy dx Now, find the equation of the…

A: Given: -16x4+3x16y+y5=-12 Derivative of function f(y) w.r.t. x is f'(y)dydx

Q: dy Find when 5x? + 3x°y – 5y3 = 28. - dx dy dx The slope of the tangent line to this curve at the…

A: Given,  5x2+3x3y-5y3=28

Q: dy Given the equation below, find dx - 7a + 5a"y + y? = - 1 ,35 dy da Now, find the equation of the…

A: We have to solve

Q: dy Given the equation below, find 21x + 2x¹¹y+y³ 24 dy da Now, find the equation of the tangent line…

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Q: y = xx that is parallel to the line y = 6 + 3x. Find an equation of the tangent line to the curve

A: Given curve is

Q: dy Given the equation below, find dx – 13x° + 3x"y + y" 26 10 - 9 78 (1 – 220y) 3226 + 10y dy dx…

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Q: Find the equation of the line that is tangent to the curve y = 6x cos x at the point (T, -67). The…

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Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: dy Given the equation below, find da 9æ8 + 3x45y + y® = 13 dy dx Now, find the equation of the…

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Q: dy Given the equation below, find dx 10x + 4x20y + y° = 15 dy dx Now, find the equation of the…

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Q: Find the equation of the tangent line to the curve y 6x cos r at the point (T, - 67). The equation…

A: As we know that, The slope of the tangent line to the given curve is equal to the derivative of the…

Q: dy Given the equation below, find dæ 20a + 4x0y + y° = 25 dy dx Now, find the equation of the…

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Q: dy Given the equation below, find da - 1224 + 7236y + y = - 4 dy da Now, find the equation of the…

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Q: x = 2t + 5, y = t8, t = –1

A: To find the equation of tangent line given x=2t+5,y=t8,t=1

Q: dy Given the equation below, find dz 16z + 3x4y + y = 20 dy dx Now, find the equation of the tangent…

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Q: Given the equation below, find dy dx 36x8(6+5x²7y) 5236 + 7y y dy dx 36 24x² + 5x³y + y² = 30 Now,…

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Q: A curve is such that dy 25 (3x+4)° – 6x-8. Given that the | dx stationary point on the curve has…

A: Option (B) is the correct option. Solve the given D.E.

Q: B The equation of a curve is y = cotx - 8 cos x, 0<x< π, find the coordinates of the points on the…

A: If the equation of the curve is given y=f(x)  Then we find dy/dx and then equating to 0 we get the…

Q: dy Given the equation below, find dx 13x + 8x52y + y° 22 dy dx Now, find the equation of the tangent…

A: To find the (dy/dx)