Results 1 to 5 of 5

Math Help - Multiple Choice Question

  1. #1
    Super Member
    Joined
    Dec 2008
    Posts
    509

    Multiple Choice Question

    Hi
    I few question i am having trouble with:
    1)P and Q lie on the curve y=x^3. The x coordinates of P and Q are 2 and (2+h) respectively. The gradient of chord PQ is:
    A. \frac{h^3-8}{h-2}
    B. 12+6h
    C.12
    D. \frac{(2+h)^3-8}{h}
    E. 12+6h+h^2

    2)The equation logx=y(log3)+1 is equivalent to the equation:
    A. x=10.3^y
    B. x=30^y
    C. x=3^y+10
    D. x=y^3+10
    E. x=10y^3

    3)If the angle between the lines 2y=8x+10 and 3x-6y=22 is \theta, then tan\theta is best approximated by:
    A)1.17 B)1.40 C)2 D)0.86 E)1

    P.S
    Follow Math Help Forum on Facebook and Google+

  2. #2
    -1
    e^(i*pi)'s Avatar
    Joined
    Feb 2009
    From
    West Midlands, England
    Posts
    3,053
    Thanks
    1
    Quote Originally Posted by Paymemoney View Post
    Hi
    I few question i am having trouble with:
    1)P and Q lie on the curve y=x^3. The x coordinates of P and Q are 2 and (2+h) respectively. The gradient of chord PQ is:
    A. \frac{h^3-8}{h-2}
    B. 12+6h
    C.12
    D. \frac{(2+h)^3-8}{h}
    E. 12+6h+h^2

    2)The equation logx=y(log3)+1 is equivalent to the equation:
    A. x=10.3^y
    B. x=30^y
    C. x=3^y+10
    D. x=y^3+10
    E. x=10y^3

    3)If the angle between the lines 2y=8x+10 and 3x-6y=22 is \theta, then tan\theta is best approximated by:
    A)1.17 B)1.40 C)2 D)0.86 E)1

    P.S
    You should only ask one question in a thread in the future

    1. P = (2,8) and Q= ([2+h], [2+h]^3)

    The gradient, m, is equal to \frac{\Delta y}{\Delta x} = \frac{(2+h)^3-8}{(2+h-2)}

    You don't even need to expand the cubic to see the answer

    ======================================

    2. x = 10^{ylog_{10}3+1}. Use the laws of exponents to simplify
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Dec 2008
    Posts
    509
    ok this is what i got for question 2

    x=10log3^y+1

    10log = 1

    3^y+10^1

    x=3^y+10

    Answer says its x=10.3^y
    Follow Math Help Forum on Facebook and Google+

  4. #4
    -1
    e^(i*pi)'s Avatar
    Joined
    Feb 2009
    From
    West Midlands, England
    Posts
    3,053
    Thanks
    1
    Quote Originally Posted by Paymemoney View Post
    ok this is what i got for question 2

    x=10log3^y+1

    10log = 1 <--- where did you get this from?

    3^y+10^1

    x=3^y+10

    Answer says its x=10.3^y
    The way I would have done it is to say that c^ac^b = c^{a+b}

    10^{log3^y+1} = 10^{log3^y} \cdot 10^1 = 10 \cdot 3^y
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,393
    Thanks
    1327
    Quote Originally Posted by Paymemoney View Post
    ok this is what i got for question 2

    x=10log3^y+1
    You mean x= 10^{log 3^y+ 1} and that is equal to 10^1(10^{log 3^y})= 10(3^y)

    10log = 1

    3^y+10^1

    x=3^y+10

    Answer says its x=10.3^y
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Multiple choice question.
    Posted in the Statistics Forum
    Replies: 1
    Last Post: October 15th 2011, 05:38 PM
  2. Multiple choice question #1
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 11th 2011, 07:52 PM
  3. Multiple Choice Question
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 12th 2010, 09:50 AM
  4. multiple choice question
    Posted in the Algebra Forum
    Replies: 5
    Last Post: December 9th 2009, 03:54 PM
  5. Limits question (multiple choice)
    Posted in the Calculus Forum
    Replies: 8
    Last Post: February 19th 2008, 11:42 AM

Search Tags


/mathhelpforum @mathhelpforum