Find the equations of all lines through the origin that are tangent to the curve y = x³ – 4x? – 4x. - - Number of answers: | 2▼ Equation: y = -4 x

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

A: Given,

Q: Q3:-Find the equation of the line tangent to the curve the point (-1,2) (y = 2x?) at

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Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

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Q: the slope of the curve 2y2=ax2+b at (1,-1) is -1.Find a,b

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Q: Find the equation of the curve for which y"= 2x³. The slope of the inflectional tangent at (-1, 3)…

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Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: Find the slope and equation of the tangent line for the equation 5.x'y – 6y° = 7x² – 35 at (1,2).

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Q: Find the equations of the tangents to the curve x = 6t2 + 2, y = 4t + 2 that pass through the point…

A: Equation of tangents: y-y1 = m(x-x1) m=dy/dx To get dy/dx, first get dx/dt then get dy/dt. Now do…

Q: Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point…

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Q: 1. Find the equation of the lines tangent and normal to the curve 3x?y2=4x2-4xy. at the point…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: the slope of the curve 2y2=ax2+b at (1,-1) is -1.find a,b

A: The equation of the curve is  2y2 = ax2+b…

Q: Find the equations of the tangents to the curve x = 6t2 + 4, y = 4t3 + 2 that pass through the point…

A: we have to find the equation of the tangent line

Q: Q/ Find the equation of the tangent to the test subject y = Vsin 4x, %3D and passes through the…

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Q: Find the equations of the tangents to the curve x = 9t2 + 6, y = 6t3 + 3 that pass through the point…

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Q: Find the equation of the line segment tangent to the curve y−2x^2−1=0 which is parallel to the line…

A: Given curve is y-2x2-1 = 0

Q: (b) Find the equation of the tangent line to the curve 8x²y3 – 5x? + 7y³ = 10(x – 3y), at the point…

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y…

A: We need to find the slope and the equation of the tangent line tothe following curve:3. y=3x2+2 at…

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 equations of the tangents to the curve x = 6t2 + 2, y = 4t3 + 2 that pass through the point…

A: Given data:     The first equation is: x=6t2+2. The second equation is: y=4t3+2. The given point is:…

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: For what values of a and b is the line-3x + y-b tangent to the curve y = az3 when x-5? a=

A: The value of slope of tangent to the curve at the point is the value of its derivative at that…

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

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: Find an equation for the line that is tangent to the curve y = 3x-3x at the point (1,0).

A: y = 3x3 - 3x P= ( x1 , y1 ) = ( 1,0 )

Q: Find an equation for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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Q: Hello, could you please help me determine the equation of the line tangent to the curve…

A: The given curve is: x2y+2xy2=x+6y

Q: The slope of the tangent line to the curve  y=3x^3 at the point (-5,-375) is:? The equation of this…

A: Consider the given: y=3x3Differentiate w.r.t. "x"dydx=9x2Find the slope at…

Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: b) Write an equation of the tangent line to the curve x² + y - 25 = 0 at the point (3,4).

A: To find an equation of tangent line to the curve x^2+y^2-25=0 at point (3,4).

Q: The equation of the tangent line to the curve +y =64, at (6,-12) is 12 y=D (-6)+12 6. 6. 12 -6) – 12…

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Q: 59. Find equations of both lines that are tangent to the curve 3x23x-3 and are parallel to the line…

A: First we find the slope of the tangent:Slope of the tangent is the derivative of the given…

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: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

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Q: Find equations of both lines through the point (-2,-18) that are tangent to the parabola y = x² + 3x

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Q: Show At what points does the equation of the line tangent to the curve y=1/x+3 have a slope equal to…

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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: Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point…

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Q: Find the equation of the line tangent to the curve f(x)=x+ at the point (5, 26/25) 1 %3D

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Q: 2x at x =1 y = Зх-1

A: Find dydx as follows. y=2x23x-1dydx=22x3x-1-3x23x-12dydx=23x2-2x3x-12 Find dydx at x=1 as follows.…

Q: The equation of the tangent line to the curve x? + y² = 64, at (5,-18) is

A: The given equation is x2+y2=64 Differentiate both sides w.r.t. x, 2x+2ydydx=0 dydx=-xy evaluate dydx…

Q: Find the equation of the line tangent to the parabola y = x^2 -1 at the point (-2,3).

A: Given the parabola :

Q: Find equations of the tangents to the curve x = 3t 2 + 1 y  =2t 3 + 1 that pass through the point…

A: The given equations of curve are Solving equations (1) and (2) by substituting the values of t from…

Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

Q: 2) Find the slope and the equation of the tangent line to a curve: y = 3x? - 4x + 1 at x = 2.

A: The given curve is y=3x2-4x+1, we have to find slope and the equation of tangent line to the curve…