The slope of the tangent line to the curve at (x,y) point is defined by (1+ k) e2a+e .If the curve passes through the x – axis at x = In 2, determine the equation of the curve. = A - в I E E E E

Q: e defined by 8x^2+5xy−3y^4=270  at the point (9,−3). The slope of the curve at the point (9,−3) is

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Q: 7. Find the equation of the tangent line to the graph of the function 4xy + 5 In y = 28 at the point…

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Q: 59. Find an equation for the tangent line to the graph of y = xV2x + 3 at the point (3, 9).

A: Given that the function is y = x2x+3 To find the equation of tangent line at point (3,9). To find…

Q: 21. Find an equation of the tangent line to the graph of f(x) = x² - 2x at (a) (–2, 8); (b) (1, –1);…

A: fx=x2-2x

Q: Find the slope of the tangent line to f(x) = e^[3 (x^2) − 4x] at the point (0,1).

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Q: The tangent line to the graph of y = g(x) at the point (1, 4) passes through the point (2, 3). Find…

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Q: Find the equation of the tangent line to the curve at (2, 1): x^2 + 4xy + y^2 = 13

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Q: Find the equation of the tangent line to the graph of f(x) = In x at xo = e 8.

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Q: Find an equation of the tangent line to the following curve at the given point. y = e9x cos πx,…

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Q: 4. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.

A: Solution :-

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

Q: 2) Find the equation of the tangent line to the graph of x? + (y – x)3 = 9 at the point x = 1.

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 – 6xy = 0,     (4/3,…

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Q: y = x^2+ 1, find an equation of the tangent line to the graph of y at x = 3.

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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: The Slope of the tangent line to the at the point C7,3) is: Curve y=

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Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

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Q: Find an equation for the tangent to the curve at the given point: y= x2 + ex −e; at (1,1).

A: The equation of given curve is, y= x2 + ex −e The point of tangency is (1,1)

Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

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Q: the equation of the tangent line to the curve at the given point. y = x² In ¤; (e, e²) :The result…

A: We can find the answer as below.

Q: Determine the slope of the tangent line to the curve y = In(x²) at x = e 2 1 e4 Option 2 Option 3 1

A: differentiate it with respect to x at given point to get the slope of line.

Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

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Q: 4. Find the equation of the tangent line to the curve y = 4+ e2 sin at the point (0, 5).

A: First find the slope at given point with the help of derivative than write the equation of tangent…

Q: -1 Where on the curve y = (196 + x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

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Q: The graph of the curve + y° = 6xy is shown above. The slope of the tangent line to this curve at the…

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Q: Fin the equation of the line tangent F(x) = xcos(x) + e^x at the point (0,2)

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Q: 4) Find a formula for the line tangent to the curve at the point (4,4).

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Q: Determine an equation of the tangent line to y= (e3x+2)5 at the point (0 , 243) then solve it for y.

A: We have to find the value of y.

Q: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by…

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Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4 at the point (2, 512).

A: The tangent is given by dydx So, In this question we differentiate y with respect to x and then put…

Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

Q: 2. Find the equation of the tangent line to the graph of f(x) = 3x?e-1 - 1, at r = 1.

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Q: 1. Find an equation of the tangent line to the graph of y = In (x² – 3) + e²-* at the point (2, 1).

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Q: aph of given equation at (1,-1/2)

A: The graph given is , x2-4xy-3=0 . Differentiate the equation with respect to x,…

Q: Determine an equation of the tangent line to y = (e3x - 2)4  at the point (0,1) then solve for y.

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Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)…

A: Slope is already given. And for slope we have to find dy/dx  and then simplify.

Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

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Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

A: Solve the following

Q: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is .2 Select one: a.-e…

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Q: Graph the curve over the given interval together with its tangent at the given value of x. 37 19) y…

A: csvs

Q: Find an equation of the tangent line to the graph of  y = e−x2  at the point (5, 1/e power of 25)

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Q: Find the equation of the tangent plane to the graph of xe*y- eyz = In(x?) at the point (1,1).

A: Solution

Q: The slope of the tangent line to the graph of y = e3 at x = In 2 is

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

A: We find dy/dx at (2,4)