16. The slope of the tangent line at any point (x, y) on the curve is 3x2 - 2x +7. What is the equation of the curve (general solution)? a. y =-+7x + C b. y = x3 – x2 +7x + C c. 2y = x³ – x² + 7x + C diy y = 3x3 - 2x² + 7x + C 3

Q: 1 ++y-2=0. Find an equation for the line that passes through the point (3,2) and is perpendicular to…

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Q: 9. How would you write the equation of a line with a slope of 2/3 and a y- intercept of -3 O b)…

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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: x² + y² 3. Find the equation of the curve whose slope at any point is equal to and which passes…

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Q: 3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope…

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Q: 6. Verify that the point (1, -2) is on the curve and then determine an equation for the line tangent…

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Q: Find the equation of the tangents: y=x² + 6x² + 10x + 8 parallel x-y= 2. to the line А.…

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: The region bounded by f(x) 2x² + 12x + 14, x = = 0 is rotated about the y-axis. Find the volume of…

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Q: What is the equation of the line tangent to the graph of y = (2x+3)/(3x-2) at the point (1,5)? 13x -…

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Q: A curve is generated by the equation x² + 4y² = 16. Determine 2. whose corresponding tangent lines…

A: Given data:- The given equation of curve is, x2+4y2=16 Curve corresponding tangent line are…

Q: 1 - Find the equation of the tangent line to the curve y = 3 5 x2 +6x 2 11 at its point of…

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Q: 9. Find an equation of the line tangent to the curve y = 2x - 7x2 + 10 at the point (3, 1). y = 12

A: Given that, the curve is y = 2x2 - 7x2 + 10  To find the tangent line to curve at point (3,1)   To…