Find an equation of the tangent plane to the graph of F(r, s) at t F(r. s). - (3r4 1 + 1), (-1, 1. –4)

Q: Find the equation of the tangent line to the graph of the function f (z) = (2² + 8) (z – 4) at the…

A: The solution are next step

Q: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

A: Given: x=et……1y=te-t……2 where t≥0   To find: Slope of line tangent at x=3

Q: Find the equation of the tangent line to the graph of the function f (z) = (22 +9) (z – 3) at the…

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Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

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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) = at the point (2, 9). y Z =

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Q: Find the slope of the tangent line at z= - 2 for f(z) = 4z? + 4z 0 8 O -12 O -16

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Q: Find the equation of the tangent plane to 4 = Z = eª + x + x* + 4 at the point (1, 0, 7).

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Q: Find an equation of the tangent plane at the given point. f (x, y) = x^2y + xy^3,  (2, 1)

A: To Find an equation of the tangent plane at the given point. f (x, y) = x^2y + xy^3,  (2, 1)

Q: The equation of the tangent line to the curve y = 1 at the point (3,-) is Vx +1 A. x+16y +11=0 B. x+…

A: Please refer the attached solution. None of the option is correct here . I have solved it…

Q: Find the equation of the tangent line to the curve ³+y³ = 9 at the given point (1, 2). a. 4x-2y=10 O…

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Q: Find the equation of the tangent line to the curve given by F(t) = (cos(rt), t, 1+ t²), for t € [0,…

A: (a) First find the derivative of the given curve.  r't=-πsinπt, 1,…

Q: Write an equation for the tangent line to the curve y - x= 2 at the point (1,V3). O A. x-2/3y+5=0 O…

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x?y, (-1, 1)…

A: The objective is to find the slope of the tangent line to the graph at the point  (-1,1).

Q: Find the equation of the tangent plane to the graph of exy² + zy¹ = 61+1 at the point (0, -2,6).…

A: The gradient of a surface includes the partial derivatives of the function. It is always directed in…

Q: (x2 + y2)2 = 4x2y, (1, 1) Bifolium: 1.4 1.2 (1, 1) 1 0.8 p.6 0.4 0.2

A: Find equation

Q: Find an equation of the tangent plane to the graph of f(x, y) = xy3 + x2at (2, -2, f (2, -2)).

A: fx, y=xy3+x2 Partially differentiating with respect to x, keeping y as constant, we get fxx,…

Q: Find the points on the graph of x^2+2x+4y^2=4+y where the tangent line is horizontal

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Q: Find the equation of the tangent line and normal line to the graph of y = x-1 at the x+1 point where…

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Q: Find the equation of the tangent plane to z=e^y+x+x^4+6 at the point (4,0,267).

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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 to the graph of the function f (z) = (2+7) (z – 3) at the…

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Q: find an equation of the tangent plane at the given point. f (x, y) = x2 + y−2, (4, 1)

A: To find equation of tangent plane at (4,1)

Q: Find the equation of the tangent plane to z = e + x + x³ + 9 at the point (2, 0, 20). z =

A: According to question We have to calculate the equation of the tangent plane .

Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

A: The given curve is: x=6+ln t  ,     y=t2+5  ,     (6, 6)

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

A: Mentioned below is the answer

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: 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 the equation of the tangent line to the curve y = f(x) at the given point. y = f(x) = x²-x, at…

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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: Find the equation of the tangent plane to z = ln(x³ + 1) + y³ at the point (0,6,216).

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Q: Find the equation of the tangent plane to z= e" +x+x³ +1 the point (2, 0, 12).

A: Let a surface be represented by the function fx, y, z = c where c is a constant. Then the equation…

Q: Find the equation of the tangent line to the curve at the point (-÷5) (글 given a cos(2 y) = 0. V3 a)…

A: We need to find the equation of the line.

Q: Find an equation of the tangent line for the curve.15 y + (xy + 2) = 0 at the point (3,-1) 3x-7y 16…

A: equation of tangent line at point 3,-1 for graph or curve xy+23+y2=0

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

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Q: Find the equation of the tangent plane to z = e" + x + x² + 6 at the point (5, 0, 37).

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Q: Find an equation for the tangent plane to the graph of the function f (x, y) = y In(x² + 2y) + xy at…

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Q: The slope of the tangent line to the graph of y =; I+1 when x = 1 is %3D %3D - 4 3/4 O 1 4. 1/2

A: y=xx+1 Slope of the tangent line is the derivative of the given function at the given point. So…

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 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: (c) Find the equation of the tangent plane to the graph of f(x, y) at (1,1,3).

A: Suppose surface S defined by a differentiable function  z=fx,y and point Px0,y0,z0 lie on the…

Q: Find an equation of the tangent plane to the graph of f(x, y) = 9x at the point (2, 9 Vy z =

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Q: Find an equation for the tangent plane to the graph of f(x, y) V3+ r2 – 3y2 at the point P(2, 1,…

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Q: Find the slope of the tangent line to the curve y = g²+4r+7 at the point (0, 3). 7a+2 Determine da…

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

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Q: f (z) = V 425 + 21 at the point (1,5)

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Q: Find the equation of the tangent line to the function f(x) = r + 3z++4 at the point where x =-2.…

A: Given : fx = x3+3x2+x+4

Q: Find an equation of the tangent plane to the graph of F (r,s) at the given point: F (r,s) =…

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Q: Find the slope of the tangent line to the graph at the given point (x2 + y?)2 = 4x²y, (-1, 1)…

A: If , then the independent variable x is called the input of the function and the dependent variable…