2(x2+y2)2=25(x2-y2) Find the slope of the tangent line to the curve at each of the points. Make sure your answer is consistent with the graph of the curve. i. (3, 1)

Q: Find an equation of the straight line having slope 1/6 that is tangent to the curve y=√x+5.

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Q: 5. Find an equation of the line tangent to the curve y = 3x² 1 and parallel to the line 2x – y + 3 =…

A: Explained below

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A: To find the slope of the tangent line to the below curve the point (-6,4)

Q: 2. Find the slope of the tangent line to the curve y = 4x² – 2 at x= 1. What is the equation of the…

A: The given curve is y=4x2-2. At x=1, y=412-2=2. Thus, the graph is passing through 1, 2. The slope of…

Q: Q3/ Line A with equation y = -8x – 18 is tangent to the curve with the equation y = 4x + 2x². Find…

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Q: Find the slope of the tangent to the curve y = 3 + 4x² – 2x' at the point where x=a. Draw the graph…

A: Slope of the tangent is derivative of the function .

Q: 3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope…

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 7,  (2, 27) y…

A: In

Q: Find an equation of the tangent line to the graph at the given point. 3(x² + y2}² = 100(x? – y²),…

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Q: Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/(1-x)

A: y=11-x Also, the given Slope is -1

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(2 + y²)° at the point (- 3, - 1) 2.…

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Q: Find the point on the graph of y = x3 such that the tangent at the point is parallel to the line y –…

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Q: Find an equation of the tangent line to the curve at the point (3, 7). y= x-1/x-2 +5

A: We can make it easier for you

Q: 4) Determine an equation for the tangent to the graph of the curve y = (6x - 3)(-x? + 2) when x = 1.…

A: Note: To draw the tangent of a curve at a given point, first we have to find out the slope of the…

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: 2. At what point is -3 the slope of the tangent line to the curve y x+3x -7.

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Q: 3. Find the slope of the graph tangent to the curve y =x* - 2x3 +x that passes through the point (2,…

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Q: 17. Given the curve y = 3x³ – 4x² +7, find the slope of the tangent line at the point when x= 3.

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Q: Q3/ Line A with equation y = -8x – 18 is tangent to the curve with the equation y = 4x + 2x? Find…

A: Given : The equation of the tangent line is y = -8x-18. The given curve is y = 4x+2x2

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2),…

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Q: 3. Determine the equation of the tangent to y = x² + 6x + 9 which has a slope of 6. Sketch the graph…

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Q: 1) Find the slope of the tangent lines on the curve y = 6x + 24x -39x - 43 at points | (-5,2) and…

A: Slope of line is given by m = dy/dx = tan θ y = 6x3 + 24x2 - 39x - 43  Differentiating with respect…

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1,…

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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 an equation of the tangent line to the curve y =√x  at the given point (4,2) Use the…

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the…

Q: 4. Find the equation of the curve for which y""= 2x³. The slope of the inflectional tangent at (-1,…

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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: Find an equation of the tangent line to the curve 2(az² + y³)² = 25(x² – y}) - (a lemniscate) at the…

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Q: Find the slope of the tangent to the curve y = 3 + 4x – 2x' at the point where x=a. Draw the graph…

A: For finding slope we find dy/dx and put x=a

Q: Q3/ Line A with equation y = -8x - 18 is tangent to the curve with the equation y = 4x + 2x². Find…

A: Tangent line: If a line touches a curve at a unique point then the line is called tangent and that…

Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3…

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Q: 5x What is the slope of the tangent line to the curve y = at the point (2,2)? x2+1

A: Find the slope of the tangent line.

Q: 11. What is the slope of the tangent line to the curve y = 3x2 - 5 at point (-1,-2)? а. -5 b. -6…

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Q: What is the slope of the tangent line to the graph of y= x*-3x2 + x +2 at x-17 [a) What is the…

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Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution

Q: Find the slope of the line tangent to the curve y =x at the point (- 0.4, 0.16) and then find the…

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Q: The slope of the tangent line to the curve y - f(x) is perpendicular to the line3x-2y -S . The slope…

A: topic - slope of perpendicular line

Q: 7. Find an equation of the line tangent to the curve y = 3x² – 1 and perpendicular to the line x

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Q: Q3/ Line A with equation y = -8x - 18 is tangent to the curve with the equation y = 4x +2x. Find the…

A: We have solve the given two equations

Q: Find equations of all lines having slope -1 that are tangent to the curve y = 1/(x - 1).

A: Given, y=1x-1 Slope,m=-1

Q: Find the equation of the tangent to the graph y=x√(x-1) at (5,10).

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Q: At a particular point of the curve y = 2x2 -x+q, the equation of the tangent is y = 3x-5. [7 marks]…

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Q: Find the slope of the tangent line to the curve defined by 9a – 8zy – y* = -18 at the point (-1,…

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Q: roblem 5. Find the equation for the line tangent to the curve y√ = 3x√√y - 10 at x =

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