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  • Literature
    There are a few options! If you are looking online and you need a fairly basic analysis (a run down of themes or motifs, summaries, character profiles, etc.), there are a lot of websites made to...

    Asked by a2ttamsing on via web

    1 educator answer.

  • Reference
    Opera seria is a genre of opera. It was common in the 18th century. The term itself is Italian, but opera seria was performed in many European countries in addition to Italy. The style of this...

    Asked by usmc14forever on via web

    1 educator answer.

  • The Ballad of the Sad Café
    An interior monologue presents the innermost thoughts of a character in a direct way (which refers to a style in which the reader can hear the thoughts of the character directly) or in an indirect...

    Asked by vmienwipia on via web

    1 educator answer.

  • History
    The answer to your question is, in a sense, contained in the question itself. The question speaks of how the 1950s was a decade of prosperity in the US while, at the same time, it was a decade of...

    Asked by reillyhorse on via web

    1 educator answer.

  • Law and Politics
    Although voter frustration with politics as usual may end up changing our party system, it is not clear how it will do so. At the moment, both parties seem to be in some degree of flux. The Tea...

    Asked by adrian21z on via web

    1 educator answer.

  • A Sound of Thunder
    Because this question asks what a person thinks, it is an opinion based question; therefore, it's up to you how you want to answer it. Personally, yes, I think the images described make time...

    Asked by gonzalezdelaney on via iOS

    1 educator answer.

  • By the Waters of Babylon
    In the short story, “By the Waters of Babylon,” the protagonist, John, decides to travel east. This decision goes against everything that his people believe. At the beginning of the story, we...

    Asked by nicolasticho2000 on via web

    1 educator answer.

  • Literature
    In Seth's "The Frog and the Nightingale," the nightingale's selfishness can be seen in the approach she takes to her gift of song. The nightingale displays selfishness in how she loves to be...

    Asked by doctorhoo on via iOS

    1 educator answer.

  • Literature
    First, the Iliad is a poem about the Trojan War. In this poem, Menelaus and the Greeks have declared war on Troy with the avowed purpose of obtaining back Helen, wife of Menelaus, who had been...

    Asked by jokinglove on via web

    1 educator answer.

  • The Destructors
    Mr. Thomas's house in "The Destructors" reflects the character of the postwar era in Britain (after World War II) because the house has been shattered by a bomb during the air raids carried out by...

    Asked by diazlupe2319 on via web

    1 educator answer.

  • Of Mice and Men
    Tan's version of the American Dream is similar to that of Lennie and George in Of Mice and Men because she wants to express herself and live out dreams that speak specifically to her. When she...

    Asked by jenrader66 on via web

    1 educator answer.

  • Science
    Sure it does! The reason we say it happens with monochromatic light is the formulas work well with monochromatic light. The interference bands are dependent on the wavelength of light passing...

    Asked by madridprincess97 on via web

    1 educator answer.

  • The Road Not Taken
    I'll answer this question with a personal example, as I can't speak for your unique, individual experience. However, hopefully my own response will give you some guidance and/or inspiration to...

    Asked by nehabbz002 on via web

    1 educator answer.

  • Of Mice and Men
    George and Lennie’s dream was to have land of their own, but they were not able to achieve it because of their circumstances. George keeps Lennie and himself motivated with dreams of having a...

    Asked by jenrader66 on via web

    1 educator answer.

  • The Yellow Wallpaper
    "The Yellow Wallpaper" by Charlotte Perkins Gilman is a quasi-autobiographical story about a rest cure prescribed for what was diagnosed in her period as a "nervous disorder". The protagonist of...

    Asked by abbykim991 on via web

    1 educator answer.

  • Araby
    The quote you reference is the final sentence in James Joyce's "Araby," and it is arguably the most important sentence in the whole story, as it illustrates the protagonist's disillusionment with...

    Asked by user4776418 on via web

    1 educator answer.

  • Macbeth
    On the surface, the plays seem to have nothing in common but witches. However, Macbeth and The Crucible are both about the perils of ambition. In Macbeth, the witches are (probably) real, but the...

    Asked by jessdesantis on via web

    1 educator answer.

  • Love for Love
    In the play, Valentine and Angelica are in love with each other; one can say that they are romantically inclined towards each other. For his part, Valentine is a libertine who enjoys a lavish...

    Asked by syntemricky on via web

    1 educator answer.

  • Literature
    The outcome of the Tom Robinson trial drastically affects various members of Maycomb's community. Jem, Scout, and Dill lose their childhood innocence after witnessing racial injustice firsthand....

    Asked by avech on via iOS

    1 educator answer.

  • Business
    The unemployment rate for this community would be 14.3%. Let us see how we arrive at this figure. As you can see in the link below, an economy’s unemployment rate is generally defined as the...

    Asked by user1204255 on via web

    1 educator answer.

  • Literature
    Graphic elements can have two slightly different meanings, and while I see this is posted under "Literature," I am not sure which context is being asked about. I will address both. As a general...

    Asked by user9669070 on via web

    1 educator answer.

  • Math
    `F(x) =int_0^(e^(2x)) ln(t+1)dt` `F'(x)=?` Take note that if the function has a form `F(x) = int_a^(u(x)) f(t)dt` its derivative is `F'(x)=f(u(x))*u'(x)` Applying this formula, the derivative of...

    Asked by enotes on via web

    1 educator answer.

  • Math
    `F(x)=int_pi^(lnx) cos(e^t)dt` `F'(x)=?` Take note that if the function has a form `F(x)=int_a^(u(x)) f(t)dt` its derivative is `F'(x)=f(u(x))*u'(x)` Applying this formula, the derivative of the...

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if `y=e^(2x)tan(2x) ` : Let u=2x and rewrite as: `y=e^utanu ` Use the product rule noting that `d/(du)e^u=e^udu,d/(du)tanu=sec^2udu ` : `(dy)/(du)=e^udutanu+e^usec^2udu ` Since...

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if `y=e^x(sinx+cosx) ` : Use the product rule: `(dy)/(dx)=e^(x)(cosx-sinx)+e^(x)(sinx+cosx) ` `(dy)/(dx)=2e^xcosx `

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if `y=(e^(2x))/(e^(2x)+1) ` : Use the quotient rule to get: `(dy)/(dx)=((e^(2x)+1)(2e^(2x))-(e^(2x)*2e^(2x)))/(e^(2x)+1)^2 ` `(dy)/(dx)=(2e^(4x)+2e^(2x)-2e^(4x))/(e^(2x)+1)^2 `...

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if ` y=(e^x+1)/(e^x-1) ` : Use the quotient rule to get: `(dy)/(dx)=((e^x-1)(e^x)-(e^x+1)(e^x))/(e^x-1)^2 ` `(dy)/(dx)=(e^(2x)-e^x-e^(2x)-e^x)/(e^x-1)^2 ` `...

    Asked by enotes on via web

    1 educator answer.

  • Math
    We are asked to differentiate `y=(e^x-e^(-x))/2 ` : We use the fact that if f(x), g(x) are differentiable functions of x then `d/(dx)(f(x)+- g(x))=d/(dx)f(x)+-d/(dx)g(x) ` and ` d/(dx)e^u=e^u...

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative for `y=2/(e^x+e^(-x)) ` : Using the quotient rule we get: `(dy)/(dx)=(-2(e^x-e^(-x)))/(e^x+e^(-x))^2 `

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative of `y=ln((1+e^x)/(1-e^x)) ` : Use a property of the natural logarithm to rewrite as: `y=ln(1+e^x)-ln(1-e^x) ` If u is a differentiable function of x, then ` d/(dx)ln(u)=(du)/u `...

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if ` y=ln(1+e^(2x)) ` : If u is a differentiable function of x then ` d/(dx)lnu=(u')/u, d/(dx)e^(u)=e^u *u' ` so we get: `(dy)/(dx)=(2e^(2x))/(1+e^(2x)) `

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if `y=e^(-3/t^2) ` : If u is a differentiable function of x then `d/(dx)e^u=e^u (du)/(dx) ` . Note that `d/(dt) -3/t^2=6/t^3 ` so we get: `(dy)/(dx)=6/t^3e^(-3/t^2) `

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if `y=(e^(-t)+e^t))^3 ` : Use the power rule ( `d/(dx)u^n=n*u^(n-1)(du)/(dx) ` where u is a differentiable function of x) to get: `(dy)/(dt)=3(e^(-t)+e^t)^2(-e^(-t)+e^t) ` If...

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if ` y=x^2e^(-x)` : Use the product rule to get: `(dy)/(dx)=x^2(-e^(-x))+2xe^(-x) ` `(dy)/(dx)=e^(-x)(2x-x^2) `

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if `y=x^3e^x ` : Use the product rule to get: `(dy)/(dx)=x^3e^x+3x^2e^x ` `(dy)/(dx)=e^x(x^3+3x^2) `

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if `y=xe^(4x) ` : If u is a differentiable function of x then ` d/(dx)e^u=e^u (du)/(dx) ` , so using the product rule we get: `(dy)/(dx)=x(4)e^(4x)+e^(4x) `...

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if ` y=e^xlnx ` : If u is a differentiable function of x then `d/(dx)e^u=e^u (du)/(dx), d/(dx)lnu=((du)/(dx))/u ` , so using the product rule we get: `(dy)/(dx)=e^xlnx+e^x*1/x...

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if `y=5e^(x^2+5) ` : Note that if u is a differentiable function of x then `d/(dx)e^u=e^u (du)/(dx) ` , so using the constant rule we get: ` (dy)/(dx)=5(2x)e^(x^2+5) `...

    Asked by enotes on via web

    1 educator answer.

  • Math
    Find the derivative if ` y=e^(x-4) ` : If u is a differentiable function of x, then `d/(dx)e^u=e^u (du)/(dx) ` . Here u=x-4 and du=1 so: `(dy)/(dx)=e^(x-4) `

    Asked by enotes on via web

    1 educator answer.

  • Math
    `y=e^(-2x^3)` Find the derivative using the chain rule. `y'=e^(-2x^3)*(-6x^2)` `y'=-6x^2e^(-2x^3)` The answer is `-6x^2e^(-2x^3).`

    Asked by enotes on via web

    1 educator answer.

  • Math
    `y=e^sqrtx` `y'=e^sqrt(x)*1/2x^(-1/2)` `y'=e^sqrt(x)/[2sqrt(x)]` `y'=[sqrt(x)e^sqrt(x)]/[2x]` The derivative is `[sqrt(x)e^sqrt(x)]/[2x]`

    Asked by enotes on via web

    1 educator answer.

  • Math
    `y=e^(-8x)` `y'=e^(-8x)*(-8)` `y'=-8e^(-8x)` The answer is `-8e^(-8x)`

    Asked by enotes on via web

    1 educator answer.

  • Math
    `f(x)=e^(2x)` Find the derivative using the Chain Rule. `f'(x)=e^(2x)*2` `f'(x)=2e^(2x)` The answer is `2e^(2x)`

    Asked by enotes on via web

    1 educator answer.

  • Math
    We are asked to determine if the function `y=ln(x-2)^2 ` has an inverse by finding out if the function is strictly monotonic on its domain by using the derivative. The domain is `RR-{2} ` . `...

    Asked by enotes on via web

    1 educator answer.

  • Math
    We are asked to determine whether the function ` y=ln(sqrt(x+2))` has an inverse function by finding if the function is strictly monotonic on its entire domain using the derivative....

    Asked by enotes on via web

    1 educator answer.

  • Math
    We are asked to show that the function `y=ln(4x) ` has an inverse by showing, using the derivative, that the function is monotonic on its entire domain. The domain for the function is x>0....

    Asked by enotes on via web

    1 educator answer.

  • Math
    We are asked to determine if the function `y=ln(x-3) ` has an inverse function by determining if the function is strictly monotonic on its entire domain using the derivative. `y'=1/(x-3) ` The...

    Asked by enotes on via web

    1 educator answer.

  • Math
    We are asked to determine if ` ln(x^2) ` has an inverse; there is an inverse if the function is monotonic on its entire domain, so we use the derivative to determine the monotonicity:...

    Asked by enotes on via web

    1 educator answer.

  • Math
    We are asked to use the derivative to determine if ` y=lnx ` is monotonic on its domain. The domain of the natural logarithm is x>0: `y'=1/x ` and `1/x > 0 forall x>0 ` so the function is...

    Asked by enotes on via web

    1 educator answer.

  • Math
    We are asked to use the derivative of ` y=5000/(1+e^(2x)) ` to determine if the function has an inverse. (We can show that an inverse exists if the function is monotonic on its entire domain.)...

    Asked by enotes on via web

    1 educator answer.

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