Find equations of the tangent lines to the curve y = o mc) at the points (1, 0) and at the point (1, 0) y = at the point y = Illustrate by graphing the curve and its tangent lines. y y 10h 10 10 4 -4 -3 -2 -5 -3

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex + x,  (0, 9)

A: Given: y=9ex+xx1=0y1=9 The objective is to find the equation of tangent line to the curve

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x4 + 2ex,…

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Q: ) Find the slope m of the tangent to the curve y = 9 + 5x² – 2x3 at the point where x = a. 10а + 6а?…

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Q: Find an equation of the tangent line to the graph at the given point. y = y 8 16 x fix) = 2 X + 16 4…

A: Given that a graph  and  find an equation of the  tangent line at point (-2,-8/5).

Q: Find equations of the tangent lines to the curve y = 6 n) at the points (1, 0) and (e, at the point…

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Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin…

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through…

Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4,-7). (Use…

A: Topic:- application of derivatives

Q: Find the equation of the tangent line to the curve y = (5 In(x))/x at the points (1, 0) and (e,…

A: Given: f(x)=y=5lnxx Equation of tangent to a function f(x) at (m,n) is given by y-n=f'(m)x-m

Q: (a) Find the slope of the tangent line to the curve y = x - x3 at the point (1, 0)(i) using…

A: (a) Given equation is: y=x-x3 Then we get, dydx=1-3x2 At the point (1, 0) we get,…

Q: The curve below has a horizontal tangent line at the point (4, – 1) and at one other point. Find the…

A: Explanation of the answer is as follows

Q: Find an equation for the line tangent to the curve y =x +1 at the point (-2,5). Sketch the curve and…

A: The curve is y=x2+1 at the point (-2,5).

Q: Find the equations for the two distinct tangent lines to the curve y= x^2 that pass through the…

A: Consider the given curve: y=x2 Here, the objective is to find the equations for the two distinct…

Q: Find equations of the tangent line and normal line to the curve at the given point. = x* + 9e*, (0,…

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Q: Find the equation of the tangent line to the curve y=9√x at the point (4,18). The equation of the…

A: Find y' and the value of y' is the slope for y.Find the slope m at (4,18).

Q: Find an equation of the tangent line to the curve at the given point. y = x3 − 2x + 2,    (4, 58)

A: Here we find the  equation of the tangent line to the centrey=x3-2x+2  at the point 4,58

Q: Find equations of the tangent lines to the curve y = (6 In(x)) at the points (1, 0) and at the point…

A: Solve by using equation of tangent

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+7 and the point (1, 3) is on…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the equation of the tangent line at the given point on the following curve. 2. x+y 8, (-2,2)…

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Q: Find the slope m of the tangent to the curve y = 8 + 4x2 − 2x3 at the point where x = a. (b) Find…

A: Given: y = 8 + 4x2 − 2x3

Q: Find equations of all tangent lines to the graph of y = 4x + 40x² + 125x + 118 which pass through…

A: We have given equation of graph y=4x3+40x2+125x+118. We have to find equations of all tangents which…

Q: Find an equation of the tangent line to the curve y = at the point (1,). 8 + Vx Confirm this tangent…

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Q: Find the equation of the line tangent to the curve y= x^3 + 5x at the point (1,6) Include y = in the…

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Q: Find the equation of the tangent line to the curve y=3xcosx at the point (π,−3π)(π,−3π). The…

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Q: ric equations for the tangent line to the curve of intersection + y2, 8x - 3y + 4z = 32, (3, 4, 5)

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Q: Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this…

A: To find the equation of the tangent line to the curve y=4sinx at the point π6,2. Solution: Firstly,…

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 3,  (2, 15)

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Q: Find an equation for the line tangent to the curve y at the point (4,27). = 3 x - 2 Find an equation…

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Q: find the slope of the tangent to the curve y^2 + x^3+4=0 at (-2,2). Then find the slope of the line…

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Q: Find equations for the horizontal tangent lines to the curve y = x3 - 3x - 2. Also find equations…

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Q: a. Find equations of the tangent and normal line to the curve y = In(x² – 2x + 2) at x=2. b. Plot…

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Q: find the slope of y=x^2-2x-5 at the point (2,-5) The equation of the tangent line to the curve at…

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Q: How many tangent lines to the curve y= x /(x+1) passthrough the point ( 1,2) ? At which points do…

A: Given : y=xx+1  pass through the point (1, 2) To find: The number of tangent lines to the curve  y =…

Q: the graph at the given point. (y − 3)2 = 4(x − 5),    (9, 7)

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Q: Find an equation for the line tangent to the curve y =x +5 at the point (2,9). Sketch the curve and…

A: Differentiating the equation of parabola and substituting the point gives the slope at that point.

Q: Sketch the curve f(x, y) = c together with Vƒ and the tangent line at the given point. Then write an…

A: Curve sketch for 2x2 -y = 13 Curve sketch for  3xy = -54

Q: Find the equation of the tangent line to the curve y = ( at the point (1, 0) at the point (e, 8/e) y…

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Q: Find the equations of the tangent lines at the point where the curve crosses itself. x = 3 - 6t y =…

A: The given curve is: x=t3-6ty=t2

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 8,  (2, 20)

A: Given, The equation of a curve is y = 2x3 − x2 + 8 at  point (2, 20)

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 - 2x+7 and the point (1, 3) is on…

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Q: + y3 equation of the tangent line to the curve x 4 at Find an (-3/3, 1).

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Q: Find the equation of line tangent the circle x ^ 2 + y ^ 2 = 25 at point at (3, - 4)

A: Differentiate the equation and get slope of tangent at (3,-4) ddxx2+y2=ddx252×3+2×-4×dydx=0dydx=34

Q: Find equations for the lines tangent and normal to the cissoid of Diocles y (8 - x) = 4x at (4,8). y…

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Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this…

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Q: 16. Find the equations of the tangent and normal lines to the curve 16x* + y* = 32 at its points of…

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

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Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y =…

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y = 4x…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y − 3)2 = 37,…

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