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# gemma

• ### Find a subset of R^2 which does not equal AxB for any subsets A and B of R?

R is the real numbers

AxB is A cross B

• ### Find a map f: R to R and subsets A and B of R so that...?

f(A n B) is not the same as f(A) n f(B).

n is the intersect symbol.

• ### World War I research topics?

I have to write a research paper for my "Literature and Art of WWI" class. Basically we can write about any topic related to lit and art of WWI. I'm having trouble narrowing down ideas. Does anyone have any suggestions?

2 AnswersBooks & Authors8 years ago
• ### World War I research topics?

I have to write a research paper for my "Literature and Art of WWI" class. Basically we can write about any topic related to lit and art of WWI. I'm having trouble narrowing down ideas. Does anyone have any suggestions?

• ### Help with equivalence classes?

For the set X={m,n.p,q,r,s}, let R be the relation on P(X) (power set) given by A R B iff A and B have the same number of elements. List all the elements in {m}/R (equivalence class); in {m,n,p,q,r,s}/R. How many elements are in X/R? How many elements are in P(X)/R?

• ### Prove that if x ∉ B and A ⊆ B, then x ∉ A.?

It certainly makes logical sense, I'm just not sure how to write it as a proof...

Thanks.

• ### Prove that if p is a prime number and p is not equal to 3, then 3 divides p^2 + 2.?

Prove that if p is a prime number and p is not equal to 3, then 3 divides p^2 + 2. (Hint: When p is divided by 3, the remainder is either 0,1, or 2. That is, for some integer k, p = 3k or p = 3k + 1 or p = 3k + 2.)

I thought you might do three cases with the three values of p in the hint, plugging them into p^2+2. In two of the cases you get a p^2+2=3a (a some integer) form but for p=3k you do not. Am I approaching this wrong?

• ### Prove that if x and y are nonnegative real numbers, then (x+y)/2 ≥ sqrt(xy).?

Prove that if x and y are nonnegative real numbers, then (x+y)/2 ≥ sqrt(xy).

Use the technique of working backward from the desired conclusion. Where in the proof do we use the fact that x and y are nonnegative?

• ### Translate the following English sentence into a symbolic sentence with quantifiers?

Between any integer and any larger integer, there is a real number. (universe is real numbers)

• ### Political cartoon- bioethics?

It needs to be about clinical trials. I have no idea what to do. I don't even know how to come up with an idea. Any suggestions?

• ### Calc III-find an equation of the plane?

The plane contains the lines given by (x-1)/-2 = y = z+1 and (x+1)/-2 = y-1 = z-2.

I'm confused. Do you need to take the cross product of the lines first? If so, how do you do that? Thanks.

• ### Bioethics research paper topic?

It's an 8-10 page paper.

I'd like to write about human cloning. I feel like that's a pretty broad topic for a paper of this length though, and I'm having trouble narrowing it down. Any suggestions for a slightly more specific topic? Thanks.

• ### Nietzsche and religion?

We're learning about Nietzsche. I know that he believes suffering improves us, and is therefore good. I have in my notes that one of the reasons he criticizes religion (and Christianity in particular) is that it tries to eliminate suffering. Which he would obviously consider bad.

But I'm confused as to how religion tries to eliminate suffering. Does anyone have any idea?

Thanks.

• ### Nietzsche and religion?

We're learning about Nietzsche. I know that he believes suffering improves us, and is therefore good. I have in my notes that one of the reasons he criticizes religion (and Christianity in particular) is that it tries to eliminate suffering. Which he would obviously consider bad.

But I'm confused as to how religion tries to eliminate suffering. Does anyone have any idea?

Thanks.

• ### Calculus problem- integrals?

Solve for x: Integral from 0 to x (t^3 - 2t + 3)dt = 4

I thought you would just differentiate both sides (getting x^3 - 2x +3 = 0) and then just solve for x, but that is not the correct answer. The correct answers are x = 1.63052 and x = -3.09131. Can someone explain how to get those answers? Thanks.

• ### Do you think my idea for a college application essay is appropriate?

The essay question is to tell about a "lesson you have learned in your life that you will want to share with others."

My idea is that instead of looking at the whole picture and becoming overwhelmed, you should focus on the smaller steps you can take to reach your goal. That is a more effective strategy.

Do you think that sounds like a reasonable answer? If not, why not.

Thanks.

In the guinea pig, one locus involved in the control of coat color may be occupied by any of cour alleles: C(black), ck(sepia), cd(cream), and ca(albino). C>ck>cd>ca In the following cross, write the parental genotypes and predict the phenotypic ratios that would result.

sepia X cream, where the sepia pig had an albino parent and the cream pig had two sepia parents.

Is my answer correct? sepia parent= ckca, cream parent= cdcd or cdca, and the ratios are 1:1 and 2:1:1.

Or would there only be one ratio of 3:2:1?

Thank you so much.

• ### Limit as x approaches 0 of (1-cosx)/(2x^2 - x)?

How can I find this analytically?

• ### Three biology questions?

I'm sorry, I don't like to ask people to answer questions from my homework, but these are the last three and I can not find the answers. I would appreciate any help you would be willing to give. Thanks.

The accidental introduction of non-native species of plants and animals often causes severe problems in the native ecosystem. All of the following are reasons why problems MAY occur if species X is introduced into a new habitat EXCEPT

a. the niche of species X is already filled by a closely related species

b. natural enemies of species X do not exist in the new habitat

c. species X is a keystone predator in the new habitat

d. species X disrupts existing mutualistic relationships

e. species X disrupts the existing food web in the native habitat

All of the following statements concerning characteristics of predator-prey relationships are correct EXCEPT

a. a rise in the population of prey is often followed by a rise in the population of predators

b. a rise in the population of predators is followed by a decrease in the population of prey

c. camouflage is an adaptation that protects prey

d. the production of large numbers of offspring within very short periods of time ensures the survival of some prey populations

e. the population of predators most often eliminates the population of prey

If two sympatric species occupy very similar niches under natural conditions, one would expect

a. the species to hybridize

b. intense interspecific competition to occur

c. extensive interspecific cooperation to occur

d. the carrying capacity of the environment to be reduced

e. mutualistic symbiosis to develop

• ### three biology questions

Which of the following is a true statement about the impact of man's activities upon the biosphere?

a. deforestation has increased the rate of ozone depletion

b. fragmentation increases available habitats

c. eutrophication of waterways decreases available nitrates

d. toxic chemicals are rapidly decomposed in most ecosystems

e. agriculture decreases biodiversity

Under which conditions are r-selected organixms most likely to be the dominant species rather than K-selected organisms?

a. the final stages of succession

b. at the high water mark on a beach

c. in a young woods

d. in an old growth forest

e. in a grassland

All of the following are examples of mutualism except?

a. protozoans living in the gut of termites digest the wood the insects eat

b. nitrogen fixing bacteria in root nodules of legumes produce nitrates

c. barnacles attached to whales acquire transportation

d. lichens living on bare rock

e. green algae harbored by a Paramecium produce carbohydates