Find the equations of all lines through the origin that are tangent to the curve y = x³ – 6x2 – 2x. | Number of answers: Choose one▼

Q: Find an equation of the tangent to the circle x2+y2=36 at the point (5,3)

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

A: We have to find equations of both lines through the point (2 , -3) that are tangent to the parabola…

Q: Find the equation of the line tangent to the curve y = 3x?(x² – 6x) at x = 2.

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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: What are the coordinates of the points in the graph of y? – x² + 6x – 13 = 0 in which the tangent…

A: y2-x2+6x-13=0 --------------(1) Differentiating with respect to x ddxy2-x2+6x-13=ddx(0)…

Q: Find the slope of the tangent line to the curve - 2a? – 2ry – 2y = - 38 at the point (- 4, - 1).

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Q: Find the slope of the curve, equations of the tangent and normal lines to the given point. 8x y at…

A: Solution

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: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ < t < ∞.

A: Given: x=3+2t y=-12-6t            - ∞ < t < ∞ To find: curve generated by given functions.

Q: Find the equation of the tangent to the curve y= 3x' – 4x² +2x–10 at the points where the curve cuts…

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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 an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

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Q: find the slope of the curve at the point indicated.

A: We need to find the slope of the curve at the point indicated, y=5x-3x2,x=1

Q: Find an equation of the line tangent to the curve defined by x2 + 6xy + y 32 at the point (2, 2).…

A: v

Q: Find an equation of the tangent line to the curve at the given point.y=8x-6x^(2), P(4,-8)

A: y=8x-6x^(2), P(4,-8)Let the equation of the tangent: y=mx+cSlope of the tangent =m =  dy/dx.

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4)

A: Equation of the tangent line

Q: Sketch the graphs of y = x2 and y = −x2 + 6x − 5, and sketch the two lines that are tangent to both…

A: Given y=x2........... (1) and  y=-x2+6x-5 ..... (2) Sketch the graph using equation 1 and 2  Here…

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: Find the length of the curve with equation x2 (y + 1)3 from the point where æ = 0 to the point where…

A: Since the given curve is  x2=y+13      from point x=0 to x=33. Given curve can be written as x=y+132…

Q: Find an equation for the line tangent to the graph of  f(x)= 2xex at the point (3,f(3)). y=?

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Q: find the slope of the curve at the point indicated y = 1/x - 1, x = 3

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Q: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: Find the slope of the tangent line to the curve - 4a? – læy + 2y³ : - 4x² = - 4 at the point (2, 2).

A: to find the slope differentiate  the y with respect to x.

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: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 4x? – 4x.…

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Q: Find the points on the curve y = 2r3 – 3x2 – 12x + 20 - where the tangent is parallel to the x-axis.

A: A straight line parallel to x-axis have slope 0.

Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 6x2 7x. -…

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

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Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

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Q: Find the equations of the tangent lines to the graph of x2(x2 +y?) = y2 when x =

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Q: Find the length of the curve defined by y = 4x3/2 + 11 from x = 2 to x = 8.

A: We will differentiate the function and use the arc length formula.

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: ) Find an equation of the line tangent to the curve y = x²e²-3 at a = 3.

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Q: Find the points on the curve where the tangent is vertical. x=1³-3t, y-t³-31²

A: First we find dy/dx

Q: find the slope of the curve at the point indicated y = x - 1/x + 1, x = 0

A: Given, y=x-1x+1 and the point x = 0

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

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Q: Find the following points of intersection.

A: Given that, y=42xy=2x2

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

A: x2+y2=25 Differentiating with respect to x, we get 2x+2y·dydx=0⇒2y·dydx=-2x⇒dydx=-xy Now slope of…

Q: Find an equation of the tangent line to the graph at the given point. x²y? - 9x? - 4y² = 0, (-4,…

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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…

Q: Find the equations of the line tangent to the curve y = x³ + x , where the slope is equal to 4.

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