Posted by Brad Paul on August 21, 2002 at 08:17:24:
In Reply to: lots of questions lol posted by megan on August 20, 2002 at 23:47:24:
: okay..well i have summer calc. HW and i honestly don't understand half of it...so if any1 can provide me with help (or answers lol)...i'd love u forever...here they are:
The folloing are quick hints:
: 1.) Find x such that the distance from (x, 5) to (-1, 2) is radical 65 units.
Use your "distance equation" plug in and solve.
: 2.) Find the center and radius of 4x^2+4y^2-2x+8y-1=0
Rewrite in the form: (x-xo)^2+(y-yo)^2=r^2
: 3.) Write the equation in standard form of the circle which has (3, 7) and (5, -3) as endpoints of its diameter.
d=2r and the center is the center of d.
: 4.) Find all intercepts: y= x-1
: ---
: x+3
intercepts are when y=0. then solve for x
: 5.) If f(x)= 1 and g(x)= x^2-4, find g(f(x))
: ---
: radical x
Just do what it says.
: 6.) Find the domain of f(x)= 1
: -------
: radical 3+2x
Domain is valid x values.
: 7.) Solve for x (0 equal or less than x equal or less than 2pi) 2cos^2 x-5cosx=3
let y=cosx solve for y then get x
: 8.) If sinx= 2 find a.) sin2x b.) cos2x
: ---
: 5
use trig identies
: 9.) Find the zero(s) of: f(x)=x^3-x^2+x+3
Factor
: 10.) State the domain and range of the inverse sine function.
Look at a graph.
: 11.) Evaluate w/o a calculator:
: a.)csc 4pi
: ---
: 3
:
: b.)cos(arcsin ( - 3 )
: ---
: 5
: c.)cos 135 degrees cos 15 degrees - sin 135 degrees sin 15 degrees
: d.)sin^-1 rad 3
: -----
: 2
Trig idenities using things you know i.e.
sin(pi/4) etc...
: 12.) Sketch the graph of 2sin(2x-pi) for 2 periods. Be sure to include values on each axis.
take sin and compress, shift then amplify
: 13.) Solve (x+3)^2 - (2x-1)(x-3)=18
I see only x^2 here. expand, rewrite, then comlpet the square it will be good for you
: 14.) Rewrite rad x y cube root as a single term,
: ------------------ using only pos. and
: (x+2)^3 4th root neg. exponents.
x^-1=1/x
: 15.) What is the volume of a cube if its total surface are is 150 in^2?
What is the lagrest number on a die, and what is the length of one side?
: 16.) Do the points A(6, 4), B(4, -3) and C(-2, 3) form an isosceles triangle? A right triangle? Verify your answer analytically and explain in one or two sentences.
Plot. and check with a^2+b^2=c^2
: Phew! well that's all...any help would be highly appreciated!
Please excuse the spelling I did not spend the time to spell check.