14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

Q: Find the Slope at (2,1) given (10-x)y2 = x3

A: Given equation (10-x)y2=x3 Formula for slope at a point is slope= dy/dx  at that point

Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: The point P(9, -4) lies on the curve y = 4/(8 - x). (a) If Q is the point (x, 4/(8 - x)), use your…

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Q: 4. Find the slopes of the devil's curve y44y² = x4-9x² at point A 8 A-(3,2)

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

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Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

A: Given: The given curve is y=x3-9x and the point 3,0. To find: The main aim is to find the equation…

Q: y = 4x4+(3+51)x3+5x2-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Slope of the tangent to the curve y=fx at x=x0  Differentiate equation of curve with respect to x…

Q: Find the value of x between the points  ( − 3, 2) and (x, 6) with slope 2/5.

A: We use the slope formula to find the slope between (-3,2) and (x,6)

Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

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Q: Find the point on the curve y = √x closest to the point (2,2)

A: Here we have to find the point on the curve y = sqrt (x) closest to the point (2, 2)   use the…

Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

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Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

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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: for y if y"= 8x – 3 and the slope i

A: Integration: y''=8x-3Integrating both sides we get,y'=8x22-3x+cy'=4x2-3x+c