159. Evaluate integral O (x2 + y?) dæ + 2xydy, where C is the curve that follows parabola y = x² from (0,0) (2, 4) , C then the line from (2, 4) to (2, 0), and finally the line from (2, 0) to (0, 0). yA A(2, 4) 3

Q: Q2/ Find the distance between the Line 2x - 2y + 1 = 0 & 3z + 2y = 4 to the Z-axis.

A: We have to find the distance between the line  to the axis

Q: The line -8x + y = m is tangent to the parabola f(x) = nx² when x = 5. Find the values of m and n.

A: NOTE: Refresh your page if you can't see any equations. . the given tangent line is  here we have…

Q: The slope of the tangent line to the parabola y = 2x² + 7x + 7 at the point (4, 67) is: The equation…

A:

Q: 11. Find the equation of the line tangent to the parabola y=x²-3x+2 and perpendicular to the line…

A: Determine the equation of tangent line

Q: 2. Find the points of contact of the two tangents to the curve, 6y=2x³+9x³-12x+2, parallel to the…

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Q: At what point of the parabola y = x² – 3x – 5 is the tangent line parallel to 3x - y = 3? O (-3,-5)…

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Q: 3. Find the equation of the tangent line to the parabola 4x² +9y² = 18z, x = 3 at the point (3, 2,…

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Q: 7. For whit value of b will the line y =- y 3x +4x -1? 2x+ b be tangent to the parabola

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Q: 2. Construct the cubic spline that intersects with function f(x) at these points (1,-5), (0,3),…

A: Given Data: To construct the cubic spline that intersects with function  at the points , ,  and use…

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have vertical tangent line.

A: This question is taken from the tangent and line in which we have to all points on the graph that…

Q: The slope of the curve 2y = ax + b at (1,-1)is -1.Find a, b.

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Q: 25. Find the equation of the line tangent to the curve x2 + y2 = 1 through the point (,).

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Q: Show that the curves 2x2 + 3y2 = 5 and y2 = x3 are orthogonal.

A: To show that the two curves are orthogonal.