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Questions tagged 'Mathematics'

325 questions

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Anonymous

Feb 20, 2025

Find the vertex, focus, directrix, and focal width of the parabola.

Could you please help me find the vertex, focus, directrix, and focal width of the given parabola? Your detailed explanation will be greatly appreciated.

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Anonymous

Feb 20, 2025

Identify the vertical asymptotes of f(x) = 10 over quantity x squared minus 7x minus 30.

Identify the vertical asymptotes of the function ( f(x) = \frac{10}{x^2 - 7x - 30} ). Please provide a detailed explanation of how to determine these asymptotes and the significance of vertical asympt...

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Anonymous

Feb 19, 2025

If f(x) = 2x^2 − 10, find f(5).?

Given the function f(x) = 2x² - 10, how can I find the value of f(5)?

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Anonymous

Feb 18, 2025

If the roots of ax^2+b=0 then:A) ab>0B) a=bC) ab0, b>0?

If the roots of the equation ( ax^2 + b = 0 ) are considered, which of the following statements is true? A) ( ab > 0 ) B) ( a = b ) C) ( ab < 0 ), ( b > 0 )

Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED?

Consider circle O. Given that AE = 7, EC = 2, and BE = 4, can you help me determine the length of ED? Thank you!

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Ben Willms

Feb 17, 2025

Determine which statements are true in 3. (Select all that apply.)?

Determine which of the following statements are true. (Select all that apply.) (a) Two lines that are parallel to a third line are parallel to each other. (b) Two lines that are perpendicular to a thi...

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Anonymous

Feb 17, 2025

Find the equation of the tangent line to the curve at the given point?

I am trying to find the equation of the tangent line to the curve (y = x^3 - 3x + 1) at the given point (3, 19). I have already calculated the derivative, which is (f'(x) = 3x^2 - 3). However, I'm not...

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Anonymous

Feb 17, 2025

A man stands on his balcony, 140 feet above the ground.

A man stands on his balcony, 140 feet above the ground. He looks down at the ground, with his line of sight forming an angle of 75 degrees with the building, and sees a bus stop. The function ( d = 14...

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Anonymous

Feb 16, 2025

can a vector have a component greater than its magnitude ? Explain?

Can a vector have a component that is greater than its magnitude? Please explain your reasoning.