Mathematics - 14 October 2007

Help with this problem please?

2007-10-14 12:57:11 · 1 answers · asked by eclipsegt_01_03 2

y = -x² + 6x -5.5
find the vertex and graph of

2007-10-14 12:52:49 · 1 answers · asked by true2b 1

A 150 g bullet is fired from a rifle with a barrel of length of 65 cm. The bullet starts from rest at one end of the barrel and experiences a position-dependent force due to the expanding gas given by F(x) 15,000 + 10,000x - 25,000xsquared in Newtons with x in meters.
1. Calculate the work done on the bullet by this force over the length of the barrel.
2. Assuming that this is the only force doing work on the bullet (neglect friction) find the speed of the bullet as it leaves the rifle.
Please show all work so i can understand how to do the problem

2007-10-14 12:50:27 · 1 answers · asked by hawksup2 3

A simple income tax schedule is shown.

Income Tax
up to $20,000 15% of income
More than $20,000 $3,000 + 28% of income in excess of $20,000

a. for what incomes is the tax at least 20% of total income?
b. for what incomes is the tax at most 25% of total income?
c.Tony's employer wants him to work overtime hours in December. If Tony does his, his income for the year will barely exceed $20,000. Tony is worried that, since the additional income will change his tax bracket, he will actually lose money that is, his additional taxes will exceed his added income, by working more hours. Are his fears justified?

2007-10-14 12:49:09 · 3 answers · asked by Ryoma Echizen 3

I am developing a Prejudice Against Professors (PAP) scale. I've given the scale to 1000 students and found that they have a mean score on the scale of 26.5 with a standard deviation of 3.5. If Kara gets a score of 19.5 on this scale, fill in the blanks below so that her score would be equivalent in each case:
a. mean of X scores=100, s=15, X=__
b. mean of X scores=__, s=2, X=-9
c. mean of X scores=60, s=__, X=45
d. mean of X scores=10, s=20, X=__
e. mean of X scores=100, s=__, X=90

2007-10-14 12:47:53 · 1 answers · asked by Chien G 1

i need help!
:)

2007-10-14 12:44:03 · 3 answers · asked by Anonymous

A 450 kg autombile rounds a curve of radius 50 m at a constant speed. The roadway is banked at an angle of 25 degrees. If the automobile experiences a static frictional force of 815 N acting down the incline, determine the speed of the car. Please show how to do it now just the answer so i can learn how to get the answer.

2007-10-14 12:41:39 · 2 answers · asked by hawksup2 3

Solve the equation log_x (8 )+ 2 log_2 (x) = 7

NOTE: the log_x 8 is actually log base x (8) and the 2 log_2 x is also acutally 2 log base 2 (x)...

Please show me your workings clearly....thanks a lot.

2007-10-14 12:41:26 · 1 answers · asked by Anonymous

Prove that this series:

cosx = (1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + ...) = summation notation symbol (with n=0 on bottom and infinity on top) of (-1)^n x^(2n)/(2n)!

represents cosx for all "x".

2007-10-14 12:38:12 · 2 answers · asked by Anonymous

?

2007-10-14 12:34:56 · 11 answers · asked by Anonymous

Differentiate In (4x + 5 / 2 - 3x) with respect to x.

Ans: 23 / (4x + 5) (2 - 3x)

Please show me your workings and explain...I need to understand...thank you

2007-10-14 12:33:58 · 3 answers · asked by ♪£yricảl♪ 4

...At time t=2.8 hours the area of the circle is (to within .001) changing at a rate of what?

2007-10-14 12:33:33 · 2 answers · asked by eclipsegt_01_03 2

I need to find the area of the shaded triangles in stage in for the Sierpinski triangle. I know the formula for the smallest number of white triangles in each stage (n) is 3^(n-1) but that's only the first half of the problem. Please help!

2007-10-14 12:32:34 · 2 answers · asked by Lillie 3

Find the Taylor series for f(x) centered at the given value of "a". [Assume that "f" has a power series expansion. Do not show that Rn(x) -> 0].

1) f(x) = 1 + x + x^2, a=2

2) f(x) = 1/sqrt of x, a=9

show work plz..thanks!

2007-10-14 12:32:28 · 1 answers · asked by Anonymous

2007-10-14 12:31:47 · 9 answers · asked by SEXY_NEVER_LEFT 1

what is the forumla to get volume if you have density and mass?

2007-10-14 12:29:51 · 3 answers · asked by *BOO 4

NOTE: the number 2 are all exponents!

Write the sentence (-x)2 ≠ -x2 in words.

Why (-x)2 and -x2 are they not equivalent?

Please provide another example so i can understand better.

2007-10-14 12:27:26 · 6 answers · asked by MaRs 1

The function f(x)=(x-3)^(1/3) has a vertical tangent line...

find the point where the vertical tangent line occurs algebraically

2007-10-14 12:26:15 · 2 answers · asked by Stephanie 1

27(3^2x) -242(3^x) - 9 = 0

2007-10-14 12:24:57 · 2 answers · asked by Anonymous

a) Explain why the series {1.6 - 0.8(x-1) + 0.4(x-1)^2 - 0.1(x-1)^3 + ...) is NOT the Taylor series of "f" centered at 1.

b) Explain why the series {2.8 + 0.5(x-2) + 1.5(x-2)^2 - 0.1(x-2)^3 + ...) is NOT the Taylor series of "f" centered at 2.

2007-10-14 12:24:29 · 1 answers · asked by Anonymous

where did the 5 and sq rt of .5312 come from? put in calc and see what you get.

7/8 x^2 -3/4x + 5/16 = 0 original question

5 (3 + or - 4i times sq rt of .5312 all over 7) calc answer...

PLEASE HELP ME!!!!

2007-10-14 12:07:57 · 2 answers · asked by elliemae 2

2007-10-14 12:00:58 · 4 answers · asked by whizkid2007 1

i dont get this equation

x^2/a^2 - y^2 /b^2

how do you do that?
i mean, how do u solve that? do u substitute the a, y, x, and b or what?

2007-10-14 12:00:29 · 1 answers · asked by AHauntingNearU 2

Consider the three sequences below:

Sequence p : 4, 9, 14, 19, 24, ...
Sequence q : 16, 31, 46, 61, 76, ...
Sequence r : 19, 39, 59, 79, 99, ...

(i) Find an expression, in terms of n, for the nth term in the sequence q
ans: 1 + 15n

(ii) If the nth term of the sequence p, q and r are p_n, q_n and r_n respectively, find an equation connecting p_n, q_n and r_n

Please show your workings...I need to understand this..thanks

2007-10-14 11:58:10 · 4 answers · asked by Anonymous

I need help finding a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application.

2007-10-14 11:57:39 · 1 answers · asked by jllanos73 2

1. Solve the Quadtratic equation:
3x^2 - 8x + 1 = 0

is it:
[a] -4 +or- 2sqrt(13) /3
[b] -4 +or- sqrt(13) /3
[c] 4 +or- 2sqrt(13) /3
[d] 4 +or- sqrt(13) /3


2. 2x^2 - 1 = 6x

is it:
[a] -3 +or- sqrt(11) /2
[b] 3 +or- sqrt(11) /2
[c] -3 +or- sqrt(37) /2
[d] 3 +or- sqrt(7) /2




please show me how to do it
thanks :]

2007-10-14 11:45:42 · 4 answers · asked by vennysweetgirl21 3

1. solve 4|x + 1| + 3 > 10 - 3|x + 1|

2. determine the polynomial whose roots are: 0, 4 +or- root 2

2007-10-14 11:30:17 · 2 answers · asked by Anonymous

1. Let f be the function defined as
f(x)= absoulute val of(x-1) +2 for x<1
ax^2+bx for x greater or equal to 1
where a and b are constants.
(a) If a = 2 and b = 3, is f continuous for all x? Justify your answer.

(b) Describe all values of a and b for which f is a continuous function.

(c) For what values of a and b is f both continuous and differentiable.

2007-10-14 11:29:36 · 1 answers · asked by leonardo 1

2007-10-14 11:27:30 · 8 answers · asked by samjam555 1

2007-10-14 11:19:22 · 2 answers · asked by dukebasketball1992 2