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MATH 275 Quiz 1: Triangles, Equations of Spheres, and Hanging Objects, Quizzes of Calculus

The instructions and problems for quiz 1 in math 275. The quiz covers topics such as determining if a triangle is isosceles or right, finding the equation of a sphere, and calculating the tension in wires of an object. Students are required to show all their work and may not use decimal approximations unless asked.

Typology: Quizzes

Pre 2010

Uploaded on 08/19/2009

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MATH275โ€”Section002โ€”Quiz1
You may work with other class members on this quiz, but you may not receive
assistance from people not in MATH 275 (Section 002). You must show all of
your work to receive full credit. Do all your work on other sheets of paper and
be sure to staple all the pieces of paper together or YOU WILL GET A โ€˜ZEROโ€™
ON THE QUIZ. Do not use decimal approximations unless asked to do so. Your
work on this quiz must be handed in by Tuesday, 20 January 2004 at 12:40 p.m.
GOOD LUCK!
1) Consider the triangle whose vertices are the points (1,2,3),(โˆ’1,โˆ’1,โˆ’3),
and (2,5,โˆ’1). Is this an isosceles triangle? Is it a right triangle? Explain.
2) A sphere has a diameter whose end points are (1,2,3) and (โˆ’5,4,โˆ’1).What
is an equation of this sphere?
3) Describe the set of points that satisfy the equation
x2+y2+z2=4xโˆ’6y+12zโˆ’49.
4) An object whose weight 75 pounds is hanging from two wires. The wire on
the left makes an angle of 50 degrees with the horizontal. The wire on the right
makes an angle of 30 degrees with the horizontal. Find the tension in each
wire and the magnitude of each. You may write your answers using decimal
approximations.

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MATH 275 โ€” Section 002 โ€” Quiz 1

You may work with other class members on this quiz, but you may not receive assistance from people not in MATH 275 (Section 002). You must show all of your work to receive full credit. Do all your work on other sheets of paper and be sure to staple all the pieces of paper together or YOU WILL GET A โ€˜ZEROโ€™ ON THE QUIZ. Do not use decimal approximations unless asked to do so. Your work on this quiz must be handed in by Tuesday, 20 January 2004 at 12:40 p.m. GOOD LUCK!

  1. Consider the triangle whose vertices are the points (1, 2 , 3), (โˆ’ 1 , โˆ’ 1 , โˆ’3), and (2, 5 , โˆ’1). Is this an isosceles triangle? Is it a right triangle? Explain.

  2. A sphere has a diameter whose end points are (1, 2 , 3) and (โˆ’ 5 , 4 , โˆ’1). What is an equation of this sphere?

  3. Describe the set of points that satisfy the equation

x^2 + y^2 + z^2 = 4x โˆ’ 6 y + 12z โˆ’ 49.

  1. An object whose weight 75 pounds is hanging from two wires. The wire on the left makes an angle of 50 degrees with the horizontal. The wire on the right makes an angle of 30 degrees with the horizontal. Find the tension in each wire and the magnitude of each. You may write your answers using decimal approximations.