Questions from Calculus


Q: Show that the points (−1, 0), (3,

Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

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Q: A line is represented by the equation ax + by = 4

A line is represented by the equation ax + by = 4. When is the line parallel to the x-axis? When is the line parallel to the y-axis? Give values for a and b such that the line has a slope of 5/8. Give...

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Q: Find an equation of the line tangent to the circle x2 +

Find an equation of the line tangent to the circle x2 + y2 = 169 at the point (5, 12).

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Q: Find an equation of the line tangent to the circle (x

Find an equation of the line tangent to the circle (x − 1)2 + (y − 1)2 = 25 at the point (4, −3).

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Q: Find the coordinates of the point of intersection of the given segments

Find the coordinates of the point of intersection of the given segments. Explain your reasoning. a. Perpendicular bisectors b. Medians

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Q: Several lines are shown in the figure below. (The lines

Several lines are shown in the figure below. (The lines are labeled a–f.) a. Which lines have a positive slope? b. Which lines have a negative slope? c. Which lines appear parallel?...

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Q: Find a linear equation that expresses the relationship between the temperature in

Find a linear equation that expresses the relationship between the temperature in degrees Celsius C and degrees Fahrenheit F. Use the fact that water freezes at 0°C (32°F) and boils at 100°C (212°F)....

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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 − 3)2

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Q: As a salesperson, you receive a monthly salary of $2000

As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You are offered a new job at $2300 per month, plus a commission of 5% of sales. Write linear equations for yo...

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Q: Find the domain of the function. f(x)

Find the domain of the function. f(x) = √x2 − 3x + 2

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