Find equations of all lines having slope −3 that are tangent to the curve y=12/(x−8).

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Find the slope of the line tagent to the curve of y = In x/x at point (1,0)

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Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

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Q: Determine the equation of the line that is tangent to y= ex / x2 at x=2.

A: The given function is, y=exx2 To find the line that is tangent to y=exx2 at x=2.

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

A: Given that f(x)=x2 To find two tangents that passes through (-1,-3)

Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

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Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: Find equations of all lines having slope - 1 that are tangent to the curve

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Q: What is the equation of the curve passing through the point (3,-2) and having a slope at any point…

A: We want to find correct option.

Q: Find the equation of a curve whose tangent line has slope 2x – 5 and the curve passes through the…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 6√y + 7x³ that passes…

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Q: of intersection(s) of the normal line to the curve y=((9x^3)/(8x+4)) wherein the slope of the curve…

A: Given: The curve equation is The line equation is  2x+y=0

Q: Find the slope and equation of the line tangent to f (x) = x² – 4 at the point (3, 5).

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Q: The equation of the tangent line to the circle x^2 + y^2 = 36 at the point (5, square root 11) is…

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Q: Find equations for two lines that are both tangent to the curve y = x³ – 3x² + 3x – 3 and parallel…

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Q: Solve with solution determine the slope of the tangent line to the curve y=3x2 – 2x at the point…

A: Topic = Derivative

Q: Find equations of the tangent lines (in slope-intercept form) to the curve y = x-1 that are parallel…

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Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of y/x2 at any…

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Q: Find the point where the line tangent to y=x* – 3x² +2 at (2, 6) crosses the x – axis.

A: y=x4-3x2+2,  2, 6 Differentiating with respect to x, we get dydx=4x3-32x+0=4x3-6x Now slope of the…

Q: See image below

A: Given function is

Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y% = 104 at the point (2,…

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Q: What is the equation of the line tangent to the graph of y = x(1-2x)^3 at the point (-1,1)?

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Q: Find the slope of the curve x²+y²-6x+10y÷5=0 at point (1, 0)

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Q: The fourth derivative for * 3 points y = x3 - 3x2 + 2 are 6x-6

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Q: Find equations of both lines through the point (2, -3) that are tangent to the parabola y = x2 + x.…

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Q: Find the equation of the curve that passes through the point (0, 2) and has a slope of at any point…

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Q: The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find…

A: Given,  The tangent line to the curve y=x3-6x2-34x-9 has Slope=2 at two points on the curve.…

Q: Find the equations of the two tangent lines to the graph off that pass through the Indicated point.…

A: Given: f(x)=10x-x2

Q: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

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Q: What is the equation of the line tangent to the curvev= x² – 1 at the point -2,3) y = x+ O y=-4x +…

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Q: The equation of the line with gradient 3 which passes through the point (1, -4) is: O y = 7x – 3 O y…

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Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

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Q: find an equation of a straight line tangent to the curve y=e^x and passing (0,0).

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Q: Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y.

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Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: Find the slope and an equation of the tangent line to th 3 2 3. f(x) = + 8x + 8; (-1, 21 slope 11…

A: Recall: Point-slope intercept form :  y-y1 =m x-x1 where , 'm=dydx' is the slope and x1,y1 are given…

Q: Determine the equation of the line tangent to y = /1+x³ at the point (2, 3).

A: The given function is y=1+x3. Its derivative is obtained as, dydx=ddx1+x3=121+x3ddx1+x3=3x221+x3 at…

Q: Find an equation of the curve that passes through thepoint (0, 1)and whose slope at (x, y) is xy.

A: To Determine: Find an equation of the curve that passes through the point (0, 1)and whose slope at…

Q: What is the value of the slope of the tangent line to the curve y = 2x2 + x – 3 at the point…

A: Given :-  y = 2x2+x-3 To find:- slope of tangent line at (-1, -2)  METHOD:- Slope of tangent =dy/dx

Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…

Q: find an equation of the tanfent line to the curve at the given point y = 4x – 3x², (2, –4)

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Q: Find equations of the two tangent lines to the graph of f(x): x2 that pass through the point (-1,…

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Q: What is the value of the slope of the tangent line to the curve y = 2x² + x – 3 at the point (–1,…

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Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.

A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…

Q: Determine the equation of the line tangent to the graph of y 5 when x = 9. 2+ Va

A: Given Data The equation is y=52+x. The value of x is x9=9.   Differentiate the equation y=52+x with…