A cunve is clefined inmplicitly by the equation =6x X 3 +53 a)use implicit differentiation, compute dy b) find an equatiun uf the tangent line to the Point (3、う) Xs+Y 3=6xy at the Curve %3D

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: Use a tangent plane at (3,-7) to approximate the value of the following function at the point (3.1,…

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Q: At what points (r, 0) on this curve are the tangent lines horizontal? Use 0 < 0 < 2n. r = 1- sin 0

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Q: 7. Find the slope of the tangent line to the curve 3x° + 2y° = 13xy at (2, 1). %3D

A: Given

Q: Prove that the point of the tangent intercepted between the axes at any point on the curve xmyn=am+n…

A: Prove that , The point of the tangent intercepted between the axes at any point on the curve…

Q: the equation of the tangent plane where z=x^2 - 2xy - y^2 -8x + 4y

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Q: Find the equation of the tangent line to the function h(x) = xv4 + 2x at x = 6. %3D %3D

A: Differentiate the function with respect to x to find the slope of the tangent line.…

Q: 5. Using tangent line approximation, approximate the value of: a. V9 b. 3.012 – 4(3.01) + 7

A: The objective is to tangent line approximation to approximate the value of 3.012-43.01+7

Q: (a) Find the equation of the tangent line to the curvey = 2 sec x – 4 cos x at the point (, 2) %3D

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find the slope of the tangent line to the curve of intersection of the graph of z = 2x2 + 3xy + 2y2…

A: We need to find slope of the tangent line.

Q: Find the slope of the tangent line to the curve of intersection of graph of f and the plane x =2 at…

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Q: Find a point on the folium x3 + y3 = 3xy other than the origin at which the tangent line is…

A: Implicit differentiating both sides of the equation x3+y3=3xy with respect to x. Use power rule of…

Q: Find an equation of the tangent line to the curve at the given point. у %3D sec(x), (л/3, 2) 2nv3 y…

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Q: f(x) = |x + 1| (-1,0) Prove that has no tangent line at

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Q: 5. Determine the equation of the tangent line to (a) r = 2 sin 0 at 0 = (b) r=1+ cos 0 at 0

A: We have to find equation of tangent line.

Q: 6) What is the tangent plane of f (x, y) = 5x² – 2xy? + 3xy + 4x at point (xo, Yo) = (1, –2) ?

A: The question is solved in step. 2

Q: Prove that the tangent lines to the curves 5y – 2x +y³ – x²y = 0 and 2y + 5x +x* – x³y2 = 0…

A: Given: - The statement is, The tangent lines to the curves 5y-2x+y3-x2y=0and 2y+5x+x4-x3y2=0…

Q: Use first principle rule and proue that dy = if y= secn tand %3D secxo

A: Proving using first principle rule.

Q: is the equation af tangent line at X=/ y = mx+b. to the giaph of f c) =x² -x at x=/ m%= b.

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Q: Find the equation of the tangent plane to z = In(x²y) – x/ỹ at (-,4).

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Q: Determine the value(s) of x such that f(x)=e*-6x have a horizontal tangent line. Answer in exact…

A: Given that  function f(x) = e3x - 6x and we determine the value of x the function have horizontal…

Q: Find the equation of the tangent line on x2 + sin y – ry? = 4 at (2, 0). |

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The slope of the tangent line to the curve + 2y? = 2x² + y at the point (1, 1) is Select one: 3. O 2…

A: Explanation of the answer is as follows

Q: 2. Let f(x) tan (2) at the point (1, 7)? tan (r). What is an equation to the tangent line to y

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Q: Find the slope of the tangent line to the curve 2 sin(z) + 5 cos(y) – 4 sin(z) cos(y) + z = 7m at…

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Q: 5. Determine the equation of the tangent line to (a) r = 2 sin 0 at 0= (b) r=1+ cos 0 at 0=

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Q: prove that the curve y = f(x),(Ax) >0) and y = (x)sin x ,where fx) is differentiable function ,have…

A: We use the Given Curves, Prove that have a common tangent at common point.

Q: Find the equation of the tangent line to the curve y = Vx – 3 at the point (4, 1). - o y = }x - 3 2…

A: Explanation of the answer is as follows

Q: Find an equation of the tangent plane to: 3x +y = z at P(-1,1,-2) %3D

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Q: Find the eguation for the tangent line to y = fcx) at the specified point. fcx)= xe-X ; where X=O ノ

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Q: Find a curve in the xy-plane that passes through the origin and for which the tangent at (x, y) has…

A: Tangent is the line that just touches the curve at a single point. Derivative of the curve at a…

Q: Find the equation – in any convenient form – of the tangent plane to z = x² sin(x+2y) at the point…

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Q: Find the equation for the tangent line to the curve f(x)=cos(x)-2sin(x) at the point (0,1). O y=-x+1…

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Q: Use implicit differentiation to find 20 27 Ans./ of the following curve at the point (2, 3). dx2 2x³…

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Q: 8. Find a parameterization of the tangent line to r(t) = (cos(t), sin(2t)) at the point

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Q: Find the slope of the tangent line to the curve 2 sin(z) +4cos(y) –- 3 sin(z) cos(y) + z = 7x at the…

A: The objective is to find the slope of tangent line to the curve at the point (7π, 3π/2).

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. tan…

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Q: 2. Determine the points on the curve f(x) = sinx-cosx, 0≤x≤27 where the tangent line is horizontal.

A: Find out the points where the tangent line is horizontal.

Q: Determine the Cartesian equation of the tangent line to C1 at the point where θ = π/2 .

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Q: , (a) Find the directional derivative of at (-2,1) in the direction u = ?-j. X.

A: Since you have asked a different question. I am answering the first one. Please post the question…

Q: Find the tangent of ZU. V11 12 U V

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Q: calculate the required derivative using the chain rule. z.ton"() -1 - tan u =Y Cose » yarsin@ az -?…

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Q: Find the slope of the tangent line to the curve 5 sin(z) + 4 cos(y)- 5 sin(z) cos(y) + z = 3x at the…

A: Consider the curve  5sinx+4cosy−5sinxcosy+x=3π

Q: 4. Find the slope of the tangent line to r = cos 0 at 0 = 3 %3D

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Q: Find the tangent line to x^6 + y^6=2 at (1, 1).

A: Given : x6+y6 = 2

Q: Find the tangent line to ƒ (x) = (2 – 4x²)° at z = 1. %3D

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Q: (a) Find the equation of the tangent line to the curvey 2 sec x – 4 cos x at the point (÷, 2)

A: Tangent line to the curve y=f(x), where f(x) is a function of x at point x0, y0is given by:…

Q: Find the tangent plane to the equation 5e* бу at the point (12, 24, 5) Z =

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Q: Calculate the equation of the tangent plane to z = at (4, 2) y?

A: