#8. In each case, sketch the set of points determined by the given conditions (a) /2-1+i/>1 (b) Reliz) < -1.

Q: Use calculus to show that the closest point on the graph of 2 2 + y² = 5² to point (6, 8) is point…

A: By using calculus to show that the closest point on the graph of  x2+y2=52 to point 6, 8 is point 3,…

Q: Check the function y=x²+1 whether have a symmetry about x or y axis

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Q: Find the distance between the points

A: Given,          The two points are A2,8 and B-8,2.

Q: 5. Let f(x) = 4x²/3 – x4/3. a) Find the domain of f. Domain: b) Find the x-intercept(s) and…

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x²-0.01y2,…

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Q: Find the distance between the pair of points (5, 1) and (8, 5) . If necessary, express answers in…

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Q: Find B if A is (-4,7) and the midpoint of the line segment AB is (0,1)

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Q: Find all values of x so that the triangle with vertices A=(-4. x. -4), B=(-1. 3.-7), and C-(-7.…

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Q: Show that the function (x2+y2 t224이) is a Solution of Loplace's equation d2u dy?

A: It will be solution of given Laplace equation only when, it will satisfy it.

Q: What is the ordered pair of the point that is located four units to the left of the origin and three…

A: Answer is  (4, 3)

Q: Find a point whose coordinates are integers and whose distance from (3, 2) is √41

A: To find:   a point whose coordinates are integers and whose distance from (3, 2) is √41 Consider the…

Q: Identify the vertex for: f(x) = x² +5x-2 O (-2,--5-) O (--/ -2) O (--/ -33) 33 O ( - 11/, --5-)

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Q: Determine what is the minimum distance from the origin to the line  y=-2x+5

A: topic - distance of line from origin

Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

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Q: What is the y of x

A: Given y(x)  we have to define of y of x