2. Find atax

Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizonta? A none of the given…

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Q: Find an equation of the line tangent to each of the following curve at the given point. y + Vxy = 6;…

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Q: b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? %3D

A: b) if B(x)=g(x)we have to find the equation of tangent line drawn to B(x) when x=1   differentiate…

Q: Find the equations of the tangent line in the given plane. Given: v = (3t - x)e-2t

A: Given function - v = 3t-xe-2tWe need to find ∂2v∂t∂x,Concept - We need to partially differentiate v…

Q: Find all values of x where the tangent lines to y = x² and y = x³ are parallel.

A: Slope of both curves are equal

Q: v = (3t - x)e-2t

A: v=3t-xe-2t Partially differentiating with respect to t, we get…

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 the equations of the tangent line and normal line to the curve at the given point. a) (4,0.4) y…

A: If y=fx is any equation of the curve. Then its tangent line on point x1, y1 is given by: y-y1=mx-x1,…

Q: he equation of this tangent line can be written in the form y = mx + b where ?= nd b =

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Q: Find the equation of the tangent line to the curve y? = xy + 6a? at the point (1, -2).

A: Given The curve y2 = x3y+6x2 and the point (1, -2)

Q: Find the equation of the tangent line at (1, Tt) of 6x²y– ncos(y) = 71

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Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: The given function is y=x2-4x and the point is 1,-3

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 line that is tangent to the curve r = r In y, I> 0, at the point (1.e).

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Find the equation for (a) the tangent plane and (b

A: Given, the surface                      4z-x2=0 and the point P0(4, 0, 4).

Q: The equation of the tangent line to the curve at the given point. x2 v2 2-13 = (1, 1) is %3D 100 4…

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Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1). A y=2 B) y = x…

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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 coordinates of the point Pin Figure, at which the tangent line passes through (5, 0).

A: Given figure is  where suppose that the coordinate of point P is P=a,b

Q: Find the slope of the tangent line to the curve1x^2+1xy−3y^3=−24at the point (−2,2).

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Q: The equation of the tangent line to the curve a? +y = 16, at (4,-13) is 4 13 13 (x – 4) + 13 4 4 y =…

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the…

A: Topic:- application of derivatives

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: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1). A y=2 B) y = x…

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Q: Show that the equation of the tangent to the curve = 2 (a'0, b1.0) a y at the point (a, b) is = 2.…

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Q: Given x = y1/y , find its tangent line at (1, 1)

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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: The equation of this tangent line can be written in the form y = mæ + b where: m is: b is:

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Q: The equation of the tangent line to Y f(x) at a can be written in the form y 3 = mx + 6 where m =…

A: Given Data: Function: fx=6sinx6sinx+4cosx   Differentiate the function with respect x is,…

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: Given the function z = = f(x,y) = 2y³ -5xy-3x²+2, find the equation of the tangent plane at (1,-1),…

A: Given problem:- Given the function z  = f(x, y) = 2y³ −5xy-3x²+2, find the equation of the tangent…

Q: Find an equation of the tangent line to the graph at the given point.

A: The equation of the given graph: x23+y23=5

Q: Find the slope of the tangent line to the graph of yx = xy at each of the following points.    (i)…

A: The given equation is, yx=xy   Take natural log on both sides. lnyx=lnxyxlny=ylnx   Differentiate…

Q: Given the function f(x)=−2xcos(x), find f′(x). Then find the equation of the tangent line at at the…

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Q: What are the values of m and c if the equation of the tangent line is given by y = mx+ c?

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: We have to find: a slope of the curve at the given point P and b an equation of tangent at the given…

Q: Given that x² + y? = (2x² + 2y² – x²)? Find an equation of tangent line to the curve at point (0,…

A: The formula to differentiate the product of two functions, f(x) and g(x) with a common variable is…

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A: Solution:- The given curve is  x+xy=6  ......(1) and point (4,1) we have to find equation of the…

Q: Produce the equation of the tangent line to the given curve at the specified point 2x^4+xy^2=11;…

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Q: Given: v = (3t - x)e-2t Find: (a2v)/(at2)

A: The multiplication property of derivative:                    ddxu.v =udvdx + vdudx

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: 1.) Given 4x?– y? = 36, find its tangent line equation that must be perpendicular to the line…

A: Given:- curve :- 4x2-y2=36 Line:- 5x-2y-4=0 To find:- Given 4x² - y² = 36, find its tangent line…

Q: Find the equation of the line tangent to xe' + ye = 1 at the point (0, 1).

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Q: Given that the graph of J (X) passes through the point and that the slope of its tangent line at +…

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Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

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Q: d an equation of the tangent plane to the given surfa (-1, 1, –9). %3=

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Q: Find an equation of the tangent line at the point indicated. s(t) = In(7 – 3t), t= 1. %3D (t-1)…

A: Following steps help to find equation of line tangent . 1.Find the first derivative of f(x). 2)…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given a curve, y=1x and a point P-2,-12 (a) To find the slope of the curve at the given point. (b)…

Q: Estimate the slope of the tangent line to each curve at the given point (x, y). 5. E L IN NN IIE…

A: Slope of the tangent line