Find the points on the curve y=2x^3 + 3x^2 -12x +3 where the tangent line is horizontal.   (x,y) = ( , ) (smaller x-value) (x,y) = ( , ) (larger x-value)

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Q: 5. Find the slope of the tangent line to the curve y + 2yx3 - x-5y3 = 0 at (0, 5). %3D

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A: The solution for the above question is as shown below.

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A: The tangent line is horizontal where y'=0

Q: Find the points on the curve y 2x3+ 3x2- 12x + 9 where the tangent line is horizontal. (x, y)…

A: The above question is answered below

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e". %3D Equation:

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A: The given equation is y = 3x.Differentiate with respect to x on both sides,(dy/dx) = 3x ln(3).

Q: b) Trapezoidal rule with end corrections using the first derivative

A: The formula for the trapezoidal rule with end correction is in the integral with upper limit is a…

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 9 where the tangent line is horizontal. (x, y)…

A: According to the given information it is required to calculate the points on the curve where tangent…

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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Q: %3D

A: Solving

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A: GIVENy=x3+2x+5   and x=2

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Q: Find equations of the tangent and normal line to the curve y = 3Vx – 2Vx4 at (1,1) |

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

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Q: Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: is the tangent line to y= 1/2arctan(1/5x) at the point (5,π/8)?

A: Answer and explanation is given below

Q: (c) Trapezoidal rule with end corrections using the first derivative and third derivatives

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A: Giveny=etanxTo findderivative of y.

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Q: Find the equation of the tangent and the nirmal to the curve y=5x4 at the point (1,5)

A: Given curve,  y = 5x4  To find the equation of tangent and normal at the point (1, 5)

Q: Find the point(s) on the curve where the tangent line is horizontal i.e. slope is zero). 3 (x+x²' f…

A: Solution below  Slope is zero at a point where dy/dx=0

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Q: 4. Center at (-4,9), tangent to the x-axis 5. Center at (-4,9), tangent to the y-axis

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A: Differentiating with respect to x, we get

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A: We are asked to find the slope of the tangent line at the given point

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