Questions from Calculus


Q: A real estate office manages an apartment complex with 50 units.

A real estate office manages an apartment complex with 50 units. When the rent is $780 per month, all 50 units are occupied. However, when the rent is $825, the average number of occupied units drops...

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Q: An instructor gives regular 20-point quizzes and 100-point

An instructor gives regular 20-point quizzes and 100-point exams in a mathematics course. Average scores for six students, given as ordered pairs (x, y), where x is the average quiz score and y is the...

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Q: Show that the distance between the point (x1, y1)

Show that the distance between the point (x1, y1) and the line Ax + By + C = 0 is Distance = /

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Q: Write the distance d between the point (3, 1)

Write the distance d between the point (3, 1) and the line y = mx + 4 in terms of m. Use a graphing utility to graph the equation. When is the distance 0? Explain the result geometrically.

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Q: Use the result below to find the distance between the point and

Use the result below to find the distance between the point and line. Point: (−2, 1) Line: x − y − 2 = 0

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Q: Use the result below to find the distance between the point and

Use the result below to find the distance between the point and line. Point: (2, 3) Line: 4x + 3y = 10

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Q: Prove that the diagonals of a rhombus intersect at right angles.

Prove that the diagonals of a rhombus intersect at right angles. (A rhombus is a quadrilateral with sides of equal lengths.)

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Q: Prove that the figure formed by connecting consecutive midpoints of the sides

Prove that the figure formed by connecting consecutive midpoints of the sides of any quadrilateral is a parallelogram.

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Q: Sketch the graph of the equation by point plotting. y

Sketch the graph of the equation by point plotting. y = │x + 1│

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Q: Prove that if the points (x1, y1) and (

Prove that if the points (x1, y1) and (x2, y2) lie on the same line as (x1∗, y1∗) and (x2∗, y2∗), then Assume x1 â‰&n...

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