; Find the equation of the tangent and normal line of the function f(x): V2x – 1 at the point (5, 3). 2.

Q: Determine the value(s) of x where the tangent to g(x) = (x + 5)(x2 - 1) is parallel to y = -7x - 8

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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: Find f(4) and f'(4), assuming that the tangent line to y = f(x) at a = 4 is y = -7x +2.

A: The derivative of a function at a point represents the slopeof tangent at that point .

Q: Q1. Write down the linear (tangent line) approximation to y = e x / 2 at the point x = 0, and…

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

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = x – x; x = 4 O…

A: Given curve is Differentiating with respect to x , we get Now, we will find f(4) and f'(4)

Q: Given f(z) = x+ VE Calculate the tangent line at the point (16, 20) y : (2- 16) + 20

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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: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

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 graph of the function f (x) = v 4,4 + 12 at the point…

A: Consider the equation

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: a) Find an equation of the tangent line: x' +y' + 9xy = 27 at (x, y) = (1, 2)

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Q: Find the equation of the tangent line to the curve x =t2 -2, y =t³ -2t + 1 at the point t=2.

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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 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 f (3) and f' (3), assuming that the tangent line to y = f (x) at a = 3 has equation y = 5x + 2.

A: Tangent to a function at a point is a line which just touches the graph of the function at that…

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 an equation of the tangent line and normal line to the curve at the given point for the…

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Q: find an equation of the tangent plane at the given point. f (x, y) = x2y + xy3, (2, 1)

A: Let z = f(x, y) is any function and let x0, y0 be a point on f then equation of tangent plane is,…

Q: Find the equation of the tangent line drawn to the curve y - 4x* – 6xy = 0 at the point (-1,3).…

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Q: Find an equation of the tangent line to the graph of f (t) = (t – 5) (t² – 3) at the given point (2,…

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Q: The tangent plane to the graph of the function :==3y+1=(1+y} at the point (1; 1; 3/2) contains point…

A: The given equation of the surface is z=x2y+1. Rearranging the above equation gives, w=z-x2y-1 Find…

Q: Find the equations of the tangent lines x = t2 − t, y = t3 − 3t − 1 at the point where the curve…

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Q: Find the point at which the tangent to the curve y = v V4x2 +1– 2 | has its slop 2

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Q: Consider xy2+x2y=6, find the slope of the tangent line at the point (1, 2)

A: Given curve: xy2+x2y=6 Find the slope of the tangent at point (1, 2).We know that slope of the…

Q: (b) What is the equation of the tangent line for f(x) = x² – 1 at r = 4?

A: f(x) =x2-1

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…

Q: Find f(3) and f'(3), assuming that the tangent line to y = f(x) at a = 3 has equation y = 5x +2.

A: Consider the provided function, y=5x+2 Find the value of f3  and  f'3 at a=3. y=5x+2 We can write…

Q: Find the point(s) (x, y) on the function f (x) = V1+ 2x where the tangent line is parallel to the…

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Q: Find the equation of the tangent line to the graph of the function f (z) = (z² + 10) (z – 2) at the…

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Q: Find an equation of the tangent line to the curve y? = x3 + 3x? at thu point (1, 2). 2у + 3x 3 3 3x…

A: We have to find the equation of tangent 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: 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: 3) Let x = t2 - 1 , and y = e2 . Find the tangent line to the point (0, 1) .

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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 of the tangent plane to the graph of f (x, y) = xy 2 - xy + 3x 3y at P = (l, 3).

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Q: find the equation of the Tangent and normal line of the function y3 +3xy + x4 =5 at the point (1,1).

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Q: Find the equation of the tangent plane to the graph of f(x, y) =−3x2 − y3 at the point (x, y) = (2,…

A: The given function is

Q: Find an equation of the tangent line to the function y = 3x at the point P(1, 3).

A: Given: The function y=3x2 . The equation of tangent line at the point Px1, y1 to the a curve y=fx…

Q: Find the equation of the tangent line to the curve x=4+2t, y=1−t2 at the point t=1.

A: We need to find the equation of tangent line to the curve at point t=1

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

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Q: Find the point(s) on the curve t3 3t, y 2t2 +t 2 x = - where the slope of the tangent line is equal…

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Q: Find the equation of the tangent plane to f(x,y)=√2xy+ 1 at the point            (2, 2),and use it…

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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 an equation of the tangent line to the graph of y = In(x²) at the point (1,0). a. y = 2(x –…

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Q: Find the equation of the tangent plane to z = e + x + x² + 4 at the point (3, 0, 17).

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Q: Find the equation of the tangent line.

A: We have to find the slope at (0,2)For that we need g'(0)