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December 21, 2014

December 21, 2014

Posted by **Jarred** on Saturday, January 16, 2010 at 7:45pm.

1. Use a reference triangle to find the given angle.

cos -1 (1/2) give an exact answer in terms of pi

2. Express In 0.25 in terms of In 2 and In 3. Simplify your answer. Use integers or fractions for any number in the answer.

3. Determine whether the function is even, odd or neither.

f(x)=4x^5 + 3x^3

Thank you!!!!

- Calculus -
**Damon**, Saturday, January 16, 2010 at 8:33pm1. Use a reference triangle to find the given angle.

cos -1 (1/2) give an exact answer in terms of pi

adjacent/hypotenuse = 1/2

well, if you know about 30,60,90 triangle the answer is immediate.

sin 30 degrees = 1/2

cos 60 degrees = 1/2

60 degrees = pi/3 radians

- Calculus -
**Damon**, Saturday, January 16, 2010 at 8:36pm2. Express In 0.25 in terms of In 2 and In 3. Simplify your answer. Use integers or fractions for any number in the answer.

ln (1/4) = ln 1 - ln 4 = 0 - ln 4

-ln 4 = -2 ln 2

- Calculus -
**Damon**, Saturday, January 16, 2010 at 8:40pm3. Determine whether the function is even, odd or neither.

f(x)=4x^5 + 3x^3

For negative x, this function is negative of the corresponding value for positive x

Therefore it is ODD

In general odd powers of x are odd and even powers of x are even

eg

f(x ) = +x

f(-x) = -x odd

f(x ) = + x^2

f(-x) = + x^2 even

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