Find the slope of the curve y^2 = 3x + 1 at the point (-1/3, 0). Draw the graph of the curve. (solve by definition/long method)

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A: Topic = Derivative

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A: Solution

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Q: There is a line through the origin that divides the region bounded by the parabola y = 4x - 5x² and…

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A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

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A: According to company rule, we can answer only first question and rest can be reposted.

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Q: compute the instantaneous slope at: (-4, 8) • Start with two points A : (-4,8) and B: (-4 + h, ?)…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 2x – 8x and…

A: There is a line through the origin that divides the region bounded by the parabola y=2x-8x2 and the…

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A: Take the derivative and put the given point.

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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

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A: Answer and explanation is given below...

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 the equation for the tangent line of the graph of y = x² at (-3, 9). Equation:

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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…

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