Find the point on the circle x2 + y2 = 1 that is closest to the point (1, 3/4) by using the method of Lagrange multipliers.

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: Which of the following is the center and radius of the circle? ²+²+4x-14y+46-0 O Center (2,-7);r=7 O…

A: equation is given is  x2 + y2 +4x -14y + 46 = 0 compare with circle equation  (x-a)2 + (y-b)2 = r2…

Q: Find the equation of the smaller circle that touches the circles x2 +y2=1  and passes through the…

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Q: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

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Q: The municipal Parks Department is planning a new flower bed outside the city hall. It will be…

A: Given that the dimensions of the rectangular park are 9 m by 6 m. The flower bed will be surrounded…

Q: 2 -1 dr 7. Approximate/1 using three rectangles and the right endpoint method.

A: Riemann sum

Q: Find an equation of the diameter of circle x²+y²-6x+2y-15=0 which when produced passes through the…

A: Given, Equation of the circle x2 +y2 -6x+2y-15 =0  We have to find the equation of the diameter of…

Q: Find the area of the largest rectangle that can be bounded by the x-axis and the parabola y = a -…

A: The given problem is to find the area of the largest rectangle that can be bounded by x-axis and the…

Q: The point (-1,0) lies on the circle x2+y2-4x+8y+k=0 . Find the radius of the circle.

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Q: The distance between the points (3, 8) and (x, 8x + 3) i

A: Solve for the distance between two points