At what point on the parabola y =  3 x2+ 2x is the tangent line parallel to the line y = 10x −2? Use first principles in your solution

Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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Q: solve: y" - 3y" + 2y = e2x 1+ex

A: To solve the given differential equation :     y'''-3y''+2y=e2x1+ex We will use the method of…

Q: Find the point on the graph of the equation y = x³ that is nearest to the point (8,0).

A: Let (x, y) be any point on the curve                y = (1/4)x3. . . . . . (1)  Distance of the…

Q: + y = e In t 16. 2y" + 2y' + y = 4Vx 17 3x" 6y' + 6y = e* sec r

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Q: Solve when x(0)=2 and y(0)=3

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Q: Find the point on the line 6x + y = 7 that is closest to the point (−2, 1).

A: Given line 6x + y = 7     (1) Given point A(-2,1)

Q: Find the point on the line 2x + y = 7 that is closest to the point (−4, 2).

A: We use second derivative test to find out point where distance minimum

Q: Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

A: To Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

Q: Use the method of variation of parameters to find the general solution of each of the following…

A: This question is about ordinary differential equation.

Q: What is the standard form the equation- 1/3+3/4 x= - 5/2 y?

A: The objective of this question is to convert the given equation into standard form. The standard…

Q: Find the point on the line 2x + y = 8 that is closest to the point (−5, 1).

A: Use distance formula to solve

Q: Find the point on the line 6x + y = 7 that is closest to the point (−5, 1).

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