Post a New Question

Calculus

posted by .

This is my first calculus class and I am lost on how to answer these. The book isn't giving me a clear explanation for help. Any help someone could provide would be great!

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 -

    1. 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 -

    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.

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

    -ln 4 = -2 ln 2

  • Calculus -

    3. 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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    My a.p. calculus teacher doesn't know how to do this problem (like many others) so he's giving us 5 points extra credit on our test if we can figure it out, but I don't know how to do it: It's as the lim-->infinity (x+sinx)/(x+cosx) …
  2. math-calculus

    1.For any function y+f(x), express dy/dx using limit notation. Give a clear explanation for your given answer. you probably meant to type y=f(x) By definition dy/dx = Limit (f(x+∆x) - f(x))/∆x as ∆x-->0 The explanation …
  3. Calculus

    I need to take a college calculus class. Can someone direct me to a site which might help me get a good start?
  4. physics

    For some reason i cant get this question. If someone can help that would be great. Thanks. In a pickup game of dorm shuffleboard, students crazed by final exams use a broom to propel a calculus book along the dorm hallway. If the 3.5 …
  5. Calculus

    I need help with finding first and second derivative--simplify your answer. Y=xtan(x) I solved first derivative xsec^2(x) + tan(x) I don't understand how to get the first...can someone show me the steps with explanation?
  6. calculus--please helpp

    if the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, find k. all i know is that its related to finding a derivative and i m basically completely lost....can please someone provide me some help?
  7. Finite Math

    Fifty percent of students enrolled in calculus class have previously taken pre-calculus. Thirty percent of these students received an A for the calculus class, whereas twenty percent of the other students received an A for calculus. …
  8. Calculus

    How do I use three vertices to calculate the area of a triangle?
  9. Integral Calculus

    We can use this power series to approximate the constant pi: arctan(x) = (summation from n = 1 to infinity) of ((-1)^n * x^(2n+1))/(2n+1) a) First evaluate arctan(1) without the given series. (I know this is pi/4) b) Use your answer …
  10. Writing Skills

    The call number of the book that you're looking for is R865.2. What do you know about the book based on this information?

More Similar Questions

Post a New Question