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:
1.) Find x such that the distance from (x, 5) to (-1, 2) is radical 65 units.
2.) Find the center and radius of 4x^2+4y^2-2x+8y-1=0
3.) Write the equation in standard form of the circle which has (3, 7) and (5, -3) as endpoints of its diameter.
4.) Find all intercepts: y= x-1
---
x+3
5.) If f(x)= 1 and g(x)= x^2-4, find g(f(x))
---
radical x
6.) Find the domain of f(x)= 1
-------
radical 3+2x
7.) Solve for x (0 equal or less than x equal or less than 2pi) 2cos^2 x-5cosx=3
8.) If sinx= 2 find a.) sin2x b.) cos2x
---
5
9.) Find the zero(s) of: f(x)=x^3-x^2+x+3
10.) State the domain and range of the inverse sine function.
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
12.) Sketch the graph of 2sin(2x-pi) for 2 periods. Be sure to include values on each axis.
13.) Solve (x+3)^2 - (2x-1)(x-3)=18
14.) Rewrite rad x y cube root as a single term,
------------------ using only pos. and
(x+2)^3 4th root neg. exponents.
15.) What is the volume of a cube if its total surface are is 150 in^2?
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.
Phew! well that's all...any help would be highly appreciated!