f(x,y) = 4x² + y² + 2 at the point wherex = 1 and y = 1.

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: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +…

A: We have to find the equation of normal and tangent line.

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: Make the curve y=ax*+bx³+ cx²+ dx+e pass through the points (0,3) and (-2,7) and at (1,4) have a…

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Q: Find the tangent and normal line to the curve at the specified condition.  y = x ( 4x - 1 )2 at…

A: The tangent line is a straight line to the curve that touches the curve at a single point. The…

Q: Find the equation of tangent and normal to the curve x sin 2y = y cos 2x at 4 2

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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. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

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Q: Find the equation of the tangent line at the given value of x on the curve. 3y +xy-y%3D375X"; x-1…

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Q: Find the equation of the tangent line to y = = at x = 1. y - V2 = - V7 (x - 1) A) E (x - 1) -- x y -…

A: The solution is given as

Q: Find the equations of the tangent and the normal at the point indicated.   a2y = x3 at (a, a).

A: To find the equation of tangent and normal at the given point.

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

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Q: Find the equation of tangent to the curve given by x=d' cos' y-a sin'o at point VE(x+ y) = a b)…

A: x=a3cos2∅y=a3sin3∅

Q: Ħ! Find the equation of the tangent line to the graph of f(x)= and is paralle I to the line x+2y=6…

A: A parallel line will have an equal slope.

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

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Q: Find the equation of the tangent plane to z at (-4,2).

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Q: 2. Find the equation of the tangent plane to f(x,y) = sin(x² +y) when x = 0, y = T. 3 and r - cost

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Q: Find the 3rd derivative of the function given by the parametric equations x=1+sint, y=t−cost at t=0.

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Q: Find the tangent line at (1, 0) of the curve xe^y = 2 sin(xy) + cos y.

A: Slope of the tangent is given by the derivative of the function at that point. So first we will find…

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 point of intersection of the tangent line to y=sin 2x) at y=0 and the line x+2y=5-

A: Given: y=sin(2x)  and y=0       substituting y=0 in y=sin(2x)then    0=sin(2x)         2x=0…

Q: Find the slope of the curve x2+ y2 -6x – 4y – 21 = 0 at (0, 7). Compute also the tangent line and…

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Q: Find an equation of the tangent plane to z=ln(2x+3y) at the point (1, 1, ln5).

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Q: Find the equations of the tangent lines x = 2 − π cos t, y = 2t − π sin t at the point where the…

A: Given :       x=2-πcost, y=2t-πsint

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

A: To Determine: FInd the equation of tangent plane to the graph of…

Q: Find the slope of the tangent line to the graph at the given point. (x² + y?3Z = 4x?y, (1,1) %3D…

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Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

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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 the equation of the tangent line to the spiral r= x at the point with x=π

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Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: Find an equation of the tangent line to x^2y^3 −y^2 +xy−1=0 at (1,1).

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Q: 2y+ In(xy) +z = 6 at the point (4,0.25, 2)

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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 EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1.…

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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: Find the derivative of the parametric curve x=2+cost, y=1+sint at the point t=π3.

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Q: What is the equation of the curve whose tangent line passes through the point i sec (In x) (1,2)…

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Q: The slope of the tangent line to the curve In(zy) = y² – 1 at the point (1, 1) is m =

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Q: Find the equation of the tangent line on the curve defined by 2xy - y2 = 1 at x = 1. a. y = 1 b. y…

A: To determine : The equation of the tangent line on the curve defined by 2 x y - y 2 = 1   at   x =…

Q: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

Q: FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 2.…

A: Given: x2y3-2xy=6x+y+1 To Find: Equation of the tangent line and normal line of the given curve at…

Q: Find an equation of the tangent plane at the given point. z = In(x-2y), (3,1,0)

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Q: Find the equation of the normal to the tangent line for the equation x'y+ xy² +x² + y² = 0 at the…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find the equation of the tangent plane to z= 6x +2 at the point (1,5).

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Q: Find the point of intersection of the tangent line to y=sin( 2x) at y=0 and the line r+2y 5. O (5,0)…

A: let us first ind the equation of tangent  line

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

A: