Find the equation of the tangent plane to the graph of f(x, y) = In (5x² – 2y²) at the point (1, 1). (Use symbolic notation and fractions where needed. Enter your answer using x-, y-, z-coordinates.) the equation: Find the equation of the tangent plane to the graph of G(u, w) = sin (uw) at the point (7,). (Use symbolic notation and fractions where needed. Enter your answer using u-, w-, z-coordinates.) the equation: Find the equation of the tangent plane to f (x, y) = 4x² – 8xy + 8y² having slope 8 in the positive x direction and slope 16 the positive y direction. (Use symbolic notation and fractions where needed.) z =

Q: ) Find symmetric equations for the tangent line to the graph of f(r, y) = at (1, 2, 2) in the plane…

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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 an equation of the tangent plane at the given point. f (x, y) = ln(4x2 − y2), (1, 1)

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Q: Find an equation of the tangent line to the curve 2(z² + y°)² = 25(æ² – y³) (a lemniscate) at the…

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A: Here, the equation of the given curve is: y sin (2x)=x cos(2y)...(1) To use the implicit derivative…

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A: We need to find the equation of the tangent line to the graph y=x+ln(x) that is perpendicular to the…

Q: Find the slope of the tangent line to the curve (2x + 4y+ /2xy = V16 + V12 at the point (6, 1). %3D…

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Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² – 7xy2 at the point (7, 8) z =

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Q: Find an equation of the tangent plane to the graph of f(x, y) = In(4x² – 2y2) at the point (1, 1). z…

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Q: x = e' and y = te %3D

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Q: Find the slope of the tangent line to the curve ((8x+9y)^(1/2))+((2xy)^(1/2))=7 at the point (2,1)

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Q: Find the equation of the line tangent to y = f(x) atx = 1, where f(x) = 11e& + e. Carry out all…

A: Given f(x) = 11e^(8x) + e^(-x^2)

Q: Find an equation of the tangent plane at the given point. f (x, y) = sech(x − y),  (ln 4, ln 2)

A: The given surface is, fx,y=sechx-y. At the point, ln 4, ln 2. The equation of the tangent plane to…

Q: Let f(r, y) = - (5x² + 4xy+ y²). Then an implicit equation for the tangent plane to the graph of f…

A: Given function is, fx,y=−5x2+4xy+y2 To find the implicit equation of tangent plane to the graph of f…

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: Find all points​ (x,y) on the graph of y=x/(x−1) with tangent lines perpendicular to the line y=x−8.

A: The given function for the tangent is, Differentiate the above expression to get the slope of the…

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: Find an equation of the tangent plane at the given point. f (x, y) = x/√y,  (4, 4)

A: Given : The function is f ( x, y) = xy and point ( 4, 4 ).

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

A: We need to find equation of tangent line.

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 the equation of the tangent line to the graph of x^2 * y^2 + 6xy =1512 at the point (-7,6)

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Q: Find the equation of the tangent line to the curve at the given point. y = 9x – 8/x, (1, 1) %3D

A: Given,           Equation of the curve is y = 9x -8x  and point = (1,1)

Q: Find the equation of the tangent line of the curve y = sin x + cos x at the point A ( π ,√2 ) .…

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

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Q: Find an equation of the tangent plane at the given point: F(r, s) = r²s-0.5 – 2s-4, (-1, 1) z =

A: The formula to find the equation of a tangent plane at a point (a, b) to a given surface f(r,  s) is…

Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² - 7xy² at the point (7, 8). z =

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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 y = 4x cos x at the point (, - 4). The equation…

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

Q: Find an equation of the tangent plane to the graph of f (x, y) =2x2 - 4xy 2 at (-1, 2)

A: Given: f(x, y) = 2x2 -4xy2  To find: Equation of tangent plane to the graph of  f(x, y) = 2x2 -4xy2…

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Q: Find the equation of the tangent plane to the graph of the curve f(x, y) = x² + y² at the point…

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Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

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Q: 2. Find the coordinates of the points on the curve y = r' - x² – x +1 where the tangent line is…

A: Solution:- step-by-step solution of above  question is given below.. The given curve is  y=x3-x2-x+1…

Q: Find an equation of the tangent plane to the graph y = x² + 2xz at (1,3, 1). (Possible Answer: 4r –…

A: We have to find an equation of the tangent plane to the graph y=x2+2xz at 1,3,1.

Q: Determine the slope of the tangent line to the function with the given information: (a) f(x, y) =…

A: According to Bartleby guidelines we have to answer only first three subparts please upload the…

Q: Find an equation of the tangent plane to the graph z = Væ + y³ nt (8, 2, 4).

A: We know that equation of tangent plane to the graph z=f(x,y) at point (a,b,c) is…

Q: A set of direction numbers for the tangent line to the curve of intersection of S : x² + y² – z = 8…

A: The equation of a tangent line to a given surface involves the gradient of the function. When we…

Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

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: Find the equations of the tangent lines in both the x-direction & the y-direction to the function z…

A: We need to find equation of tangent line.

Q: 5) Determine the slope of the tangent line to the function with the given information: a. f(x,y) =…

A: Given, the function                            We have to find the slope of the tangent line to…

Q: 3 Find the equation of the tangent line to the curve x*y – xy = –2 at the point (-1, –1

A: Given: x4y-xy3=-2 and the points are (-1,-1)

Q: Find the equation of the tangent line to the curve y = (2 In(x))/x at the points (1, 0) and (e,…

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Q: Find the point on the curve y=/2 for which the tangent ine to the curve is perpendicular to the line…

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Q: Find an equation of the tangent line to the curve at the given point. y = v x, (81, 9) y = |0

A: y = xdifferentiate with respect to x,dydx= 12xdydx(81,9)= 1281=118

Q: 1. Use implicit differentiation to find all points on the graph of y3 – 3y = 2² + 3r +2 at which the…

A: When tangent is vertical then slope of tangent not defined