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Theories about the origin of the Indian civilization have become embroiled in the controversy about the role of the Indo-Europeans in the formation of Indian culture. Contemporary issues such as liberal and conservative politics as well as the history of colonialism and post-colonial attitudes play a role in the stance that formerly colonized cultures maintain about their own history.

* Which of the theories about the Bronze Age history seems more plausible to you? Why?

* Have you ever encountered a negative attitude toward non-western cultures (perhaps your own)?

THANK YOUU!

Theories about the origin of the Indian civilization have become embroiled in the controversy about the role of the Indo-Europeans in the formation of Indian culture. Contemporary issues such as liberal and conservative politics as well as the history of colonialism and post-colonial attitudes play a role in the stance that formerly colonized cultures maintain about their own history.

* Which of the theories about the Bronze Age history seems more plausible to you? Why?

* Have you ever encountered a negative attitude toward non-western cultures (perhaps your own)?

THANK YOUU!

Let f(x)= x-[x]

How to graph it?

If n is an integer, evaluate:

lim x--> n- [x]

lim x--> n+ [x]

For what values of A does a lim x--> A [x] exist?

THANKS!!

Evaluate:

lim x--> -2 + [x]

lim x--> -2 [x]

lim x--> -2.4 [x]

[x]--> greatest integer

If n is an integer, evaluate

lim x--> n- [x]

lim x--> n+ [x]

For what values of A does a lim x--> A [x] exist?

THANK YOU SO MUCH!

Can somebody help me how to construct the graph of y=f(|x|)from the graph of y=f(x)?

THANKS!!

Can somebody help me how to construct the graph of y=|f(x)| from the graph of y=f(x)?

THANKS!!

Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified line.

y=1+sec(x), y=3; about y=1

Find the area of its region enclosed by:

y=1/x, y=x, y=0.25x, x>0

THANK YOU!

December 31 2007 :Total Assets 400k, total liabilities 250k

December 31 2008 :Total Assets 460k, total liabilities 300k

December 31 2009 :Total Assets 590k, total liabilities 400k

Lily began business on January 1, 2007, with an investment of 100k from stockholders.

From an analysis of the change in stockholders' equity during the year, compute the net income (or loss) for:

a) 2007, assuming Lily paid $15k in dividends for the year.

b) 2008, assuming stockholders mad an additional investment of $50k and Lily paid no dividends in 2008

c) 2009, assuming stockholders made an additional investment of 15k and Lily paid dividends of $30k in 2009

1. What is the basic difference between comets and asteroids?

a. Comets always emit their own light, while asteroids only reflect sunlight

b. Comets always move in open orbits around the Sun, visiting the Sun only once in their lifetime, while asteroids move in closed orbits

c. Comets are mostly composed of ices, while asteroids are mainly composed of rocks.

d. Comets are spherical, while asteroids are mostly irregular in shape.

2. More than any other, which physical parameter in the young solar system determined whether a planet became a terrestrial or jovial?

a. Mix of chemical constituents

b. Density of hydrogen gas in the nebula

c. Temperature distribution within the nebula

d. Overall rotation of the nebula

1. Which effect has been successful in the search for and identification of black holes in the universe?

A. Their magnetic fields and their influence on nearby matter

B. The effect of their angular momentum or spin on nearby matter

C. The light emitted from the event horizons of the black holes

D. Their gravitational influence on nearby matter, particularly companion stars

2. What would happen to the gravitational force on the Earth if the Sun were replaced by a 1-solar-mass black hole?

A. It would double in strength

B. It would be much less, because the gravitational field of a black hole exists only very close to it

C. It would remain as it is now

D. It would become extremely high, sufficient to pull the Earth into it

THANKS.

1. Could a star that had 60 times the mass of the Sun when it was on the Main Sequence end up as a:

i) Neutron Star?

ii) Black Hole?

iii) White Dwarf?

2. Could a star with a core two times the mass of the Sun end up as a:

i) Neutron Star?

ii) Black Hole?

iii) White Dwarf?

3. If a star had 10 times the mass of the Sun when it was on the Main Sequence. At the end of ends up with a core with a mass two times the mass of the Sun, what happened to the rest of the mass?

Number 1 and 2 has 6 answers combined.

every i, ii, and iii is YES or NO.

Thank you.

What is the basic difference between comets and asteroids?

a. Comets always emit their own light, while asteroids only reflect sunlight

b. Comets always move in open orbits around the Sun, visiting the Sun only once in their lifetime, while asteroids move in closed orbits

c. Comets are mostly composed of ices, while asteroids are mainly composed of rocks.

d. Comets are spherical, while asteroids are mostly irregular in shape.

More than any other, which physical parameter in the young solar system determined whether a planet became a terrestrial or jovial?

a. Mix of chemical constituents

b. Density of hydrogen gas in the nebula

c. Temperature distribution within the nebula

d. Overall rotation of the nebula

The most probable theory for the solar system's formation is

A. The gravity of the Sun captured objects moving through space which then became the planets

B. Gas and dust clouds condensed to form the Sun and a protoplanetary dish in which the planets formed

C. Condensation of a slowly contracting nebula of hot gas, first into planets in the outer solar system and later into the Sun at the center

D. An encounter in which a passing star ripped material off the Sun to form planets

E. The heavy elements in the center of a supernova explosion condensed to form the Sun and planets

Which one of these is not true?

A) Planets orbit the Sun in the same direction that the Sun rotates

B) Pluto is neither a terrestrial not a jovian planet

C) Planets rotate at nearly the same speed

D) Planetary orbits lie in nearly the same plane

E) Planetary orbits are nearly circular

Let C= 150+0.8Yd ; Ip=100; G=90; and T=90 (Yd=Y-T)

The Y equilibrium is 1340.

Let taxes fall to T=40. What is Y equilibrium?

Calculate the numerical value of the tax multiplier.

Calculate the new value for S at this new level of income.

Is it still true that equilibrium S+T=Ip+G (show using value)?

Does S=Ip? and G=T?

Using complete sentences, explain where the extra money the gov't gave back as a tax reduction came from.

Also, do you know why the gov't spending multiplier is different from the tax multiplier?

Thank you sooo much!

Let C= 150+0.8Yd ; Ip=100; G=90; and T=90 (Yd=Y-T)

The Y equilibrium is 1340 and the Full Employment Level of Income is 1600.

A. If the government only changes the level of spending, what level will generate Y full employment?

B. If the government only changes the level of taxes, what level will generate Y full employment?

C. If the government must balance every spending change with a change the level of taxes, what balanced budget level of spending will generate Y Full Employment? (Hint:To balance the budget G must equals to T)

Let C= 150+0.8Yd ; Ip=100; G=90; and T=90 (Yd=Y-T)

The Y equilibrium is 1340.

Let G change by +50 (new G=140); What's Ye? What is the change in Ye?

Calculate the numerical value of the gov't spending MULTIPLIER.

Calculate the new value for S at this new level of income.

Does S=Ip? Does G=T?

Is it still true at equilibrium S+T=Ip+G (show using values)?

And, explain where the extra money the gov't is spending comes from.

THANK YOU.

Determine whether or not the Mean Value Theorem can be applied to each of the following.

If it can, find all values of c in the interval such that

f'(c)= [f(b)-f(a)] / (b-a)

(a) f(x)= x^2/3, [0,1]

(b) f(x)= sin x [0, π]

Label each of the following statements as TRUE or FALSE. If it is false, explain why or give a counterexample.

(A) If f and g are increasing on (a, b), then (f+g) (x) is increasing on (a,b) as well.

(B) If f and g are increasing on (a, b), then (f·g) (x) is increasing on (a,b) as well.

(C) Every n th degree polynomial has n – 1 critical numbers.

(D) If ''(0) = f (c), then f (x) must have either a point of inflection or a relative extremum at x=c.

(E) The graph of every cubic polynomial has exactly one point of inflection.

(F) A point (c, f (c)) may be both a relative maximum and a point of inflection for f (x).

Label each of the following statements as TRUE or FALSE. If it is false, explain why or give a counterexample.

(a) It is possible for a function not to have an absolute maximum on an open interval.

(b) It is possible for a function not to have an absolute maximum on a closed interval.

(c) The maximum of a function that is continuous on a closed interval can occur at two different values in the interval.

(d) If x = c is a critical number of f (x), then it is also a critical number for g (x) = f (x) + k, where k is some constant.

(e) If x = c is a critical number of f (x), then it is also a critical number for g (x) = f (x + k), where k is some constant.