It is given to you that an equation of the tangent line to the graph of y = g(x) at z = 9 is 5x + 12y = -27 It follows that y = is the equation of the tangent line to y = g(x²) at z = 3 is the equation of the tangent line to y = (g(x))° at x = 9. and that y =

Q: 18. Find the denvative or the runction y = 2x - 13x + 5 and use it to find an equation of the line…

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Q: 7. Find the slope of the tangent line to the graph at (1,1): x²y² – 9x² – 4y² = 0 %3D r-9r-4y = 0…

A: find the slope of the tangent line to the graph at 1,1; x2y2-9x2-4y2=0 differentiate the equation…

Q: e defined by 8x^2+5xy−3y^4=270  at the point (9,−3). The slope of the curve at the point (9,−3) is

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Q: Find the equation of the tangent line to y = 2"-5a -5x+1 = 4. at x = y = 12 In 2 - 1

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Q: The equation of the tangent line to the curve at the given point. x² + y2 +3 = (2x+2y + 9x)2, (0, 1)…

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Q: What is the slope of the tangent line that touches the graph of In(y) +e-=3y– 4x at the point A В) з…

A: slope , m=dydx.

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

Q: Find the equation of the tangent line to the curve y2=6x-3 perpendicular to the line x+3y=7

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Q: Find the slope of the line tangent to the curve x - 3xy + 4x = 2 at x = 1. -5/3 O 2/3 O 1/3 O 4/3

A: The given curve is: x3-3xy+4x=2 We need to find the slope of the line tangent to the given curve.…

Q: The equation of the tangent line to the graph of f(x) = Vx+1 At the indicated point (3,2) is:…

A: By using the derivative and slope intercept form required tangent equation is :

Q: Find equations for the tangent lines to the graph at the given points 3xy + x2 = 4, (1, 1) and (4,…

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Q: What is b > 0 if the tangent line to y = bx at x = 0 has slope 2?

A: Our Aim is to find thr value of b given that the tangent line to y=bx-(i)at x=0 has slope 2.

Q: y = x^2+ 1, find an equation of the tangent line to the graph of y at x = 3.

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Q: The equation of tangent line to the graph of 8x²+16y²=48 at (2,1) is A x- y - 3=0 x- y+3=0 c none of…

A: Slope of tangent line is y'

Q: 2. Find the equation of the line tangent to x* – 3xy+ y³ = 1 when x = 0.

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Q: The equation of the line tangent to f(x) = (x² – 9) (2x – 1) at æ = 2 is y = 2x –*

A: Given that: f(x)=(x2-9)(2x-1)

Q: 1) Find an equation to the line tangent to y = (x – 3) 2 at x = 0.

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Q: 1 Find an equation of the tangent to the curve f(x) = /x + 8 that has slope 4 %3D - OA. 1 y =7x-3 O…

A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

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Q: 11. Find the equation of the tangent line at (2, 1) given In y = 4y² – x³ +4

A: 11. The equation of the curve is given by lny = 4y2-x3+4 To evaluate : The equation of the tangent…

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 4 is 6x + 8y…

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Q: Consider the following curve. 1 + x y = 4 + ex Find y'(x). -ex + 4 (4+ e*)² y'(x) = ot2 1 Find an…

A: According to the problem, we have

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: 19. The slope of the tangent to the curve (x2 + y²)² = 4.x²y at the point (1, 1) is 3 3 (a) - () – 1…

A: We have to find slope of the tangent to the curve x2+y22=4x2y at the point 1, 1. We know slope of…

Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

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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: What is the equation of the tangent line to graph of the function y = e^(3x) at the point (0,1)? O y…

A: The given function is y=e3x

Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

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Q: 1. For y-In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

A: We can answer first question as per the honor policy. Please resubmit other questions to know the…

Q: Determine an equation of the tangent line to y= (e3x+2)5 at the point (0 , 243) then solve it for y.

A: We have to find the value of y.

Q: 1. Given the equation of tangent to the curve y = x³ - x² – 7x + 10 at the point (a, b) is y = 5x +…

A: We know that the equation of the straight line that passes through the point (x0, y0) with finite…

Q: 2. Find the equation of the line tangent to x³ – 3xy + y = 1 when x

A: Given:               x3-3xy+y3=1,     x=0 at x = 0               0-30y+y3=1y3=1y=1 The slope of the…

Q: Find the equation of the tangent line at the given point on the curve. 327x 3x² + 3y² , 109y 2 10…

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where, m is the…

Q: 3. Find the equation of the tangent to y = 1-x² 3x+7 at the point where x = 1.

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Q: 1. For y=In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

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Q: determine the constants a and b so that the line y = -3x + 4 is tangent to the graph y = ax^3 + bx…

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Q: 1 - Find the equation of the tangent line to the curve y = 3 5 x2 +6x 2 11 at its point of…

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Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=4 is 4x+7y=−54…

A: Given The tangent line to the graph of y=gx at x=4 is given by 4x+7y=-54

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: #4. Find the equations of the tangent lines to the relation 3y = x² - 4y when x 2.

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Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

Q: Determine an equation of the tangent line to y = (e3x - 2)4  at the point (0,1) then solve for y.

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Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

A: Solve the following

Q: 2- find dy/dx e2x = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x –…

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Q: 2. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is A. 2y +…

A: Wr have to find the derivative of the given function first.

Q: Find the equation of the tangent line to the curve at the point (5,3) given that x2+xy+2y2=58

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Q: 3. Find the equation of the tangent line to the graph of x²y + 9xy= 162 at the point (-3, 6).

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