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• History
The reason the Third Estate paid all the taxes under the Bourbon monarchy in France is that the kingdom had an inefficient, outdated tax system. Nobles and clergy received many privileges, one of...

Asked by Bern Martinez on via web

• Science
Specific heat and latent heat are intensive material properties. Intensive properties are properties of a material which don't vary depending on the amount of mass present. For example, if a block...

Asked by user7978718 on via web

In my view, it does not make sense for employers to be allowed to file grievances, at least if we are talking about grievances filed against workers or the union. This is because the employers...

Asked by dks9 on via web

• To Kill a Mockingbird
Sheriff Tate’s expression of “let the dead bury the dead” is another way of saying “put this matter to rest.” In hopes of returning Maycomb back to its normal, everyday routine, Sheriff...

Asked by hanaafaneh on via web

• Math
We have to be careful here because of absolute value sign. We need to know where the function under absolute value changes sign (in the interval of integration), which is at `x=pi` in this case....

Asked by enotes on via web

• Math
Hello! Find the indefinite integral: `int((sqrt(y)-y)/y^2)dy=int(y^(-3/2)-1/y)dy=(-2)*y^(-(1)/(2))-ln(y).` Then substitute y from 1 to 4: `(-2*4^(-1/2)-ln(4))-(-2)=-1-ln(4)+2=1-ln(4) approx -0.386.`

Asked by enotes on via web

• Math
Hello! First find the indefinite integral, `int(x/(2)-2/x)dx=int(x/2)dx-int(2/x)dx=(x^2)/4-2ln(x).` Then substitute x from 1 to 2: `(2^2/4-2ln(2))-(1^2/4-2ln(1))=1-2ln(2)-1/4=3/4-2ln(2) approx...

Asked by enotes on via web

• Math
You need to evaluate the integral, hence, you need to use the fundamental theorem of calculus, such that: `int_a^b f(x)dx = F(b) - F(a)` `int_0^1(5x - 5^x)dx = int_0^1(5x)dx - int_0^1 5^x dx`...

Asked by enotes on via web

• Math
You need to evaluate the integral, hence, you need to use the fundamental theorem of calculus, such that: `int_a^b f(x)dx = F(b) - F(a)` `int_0^1(x^10 + 10^x)dx = int_0^1(x^10)dx + int_0^1 10^x...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that: `int_a^b f(u) du = F(b) - F(a)` `int_(pi/4)^(pi/3) csc^2 theta d theta = int_(pi/4)^(pi/3) 1/(sin^2...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that:` int_a^b f(x)dx = F(b) - F(a)` `int_0^(pi/4)(1+cos^2 theta)/(cos^2 theta) d theta =...

Asked by enotes on via web

• Math
We will make substitution `x=t^6.` Therefore, the differential is `dx=6t^5dt` and the new bounds of integration are `t_1=root(6)(1)=1` and `t_2=root(6)(64)=2.` `int_1^64(1+root(3)(x))/sqrt x...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that: `int_a^b f(x)dx = F(b) - F(a)` `You need to expand the cube such that: (x-1)^3 = x^3 - 1 - 3x(x-1)`...

Asked by enotes on via web

• Math
Hello! `(t^2-1)/(t^4-1)=1/(t^2+1).` Therefore indefinite integral is `arctan(t)(+C).` Substitute t from 0 to `1/sqrt(3)` and obtain `arctan(1/sqrt(3))-arctan(0)=pi/6-0=pi/6 approx 0.524.`

Asked by enotes on via web

• Math
Hello! Consider two intervals: (-1, 0) and (0, 2) to simplify |x|: `int_(-1)^2(x-2|x|)dx=int_(-1)^0(x-2|x|)dx+int_0^2(x-2|x|)dx=` `=int_(-1)^0(x+2x)dx+int_0^2(x-2x)dx=`...

Asked by enotes on via web

• Math
You need to find the indefinite integral, hence, you need to remember that `sec t = 1/(cos t)` , such that: `int (sec t)(sec t + tan t) dt = int (1/(cos t))(1 + sin t)/(cos t) dt` `int (sec t)(sec...

Asked by enotes on via web

• Math
You need to find the indefinite integral, hence, you need to remember that `1 + tan^2 x = 1/(cos^2 x) = (tan x)'.` `int (1 + tan^2 x )dx = int (tan x)' dx = tan x + c` Hence, evaluating the...

Asked by enotes on via web

• Math
You need to find the indefinite integral, hence, you need to remember that sin `2x = 2sin x*cos x` , such that: `int (sin 2x)(sin x) dx = int (2sin x*cos x)/(sin x) dx ` `int (sin 2x)(sin x) dx =...

Asked by enotes on via web

• Math
You need to evaluate the integral, hence, you need to use the fundamental theorem of calculus, such that: `int_a^b f(x)dx = F(b) - F(a)` `int_(-2)^3(x^3 - 3)dx = int_(-2)^3(x^3)dx - int_(-2)^3 3...

Asked by enotes on via web

• Math
You need to evaluate the integral, hence, you need to use the fundamental theorem of calculus, such that: `int_a^b f(x)dx = F(b) - F(a)` `int_1^2(4x^3 - 3x^2 + 2x)dx = int_1^2(4x^3)dx - int_1^2...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that: `int_a^b f(x)dx = F(b) - F(a)` `int_(-2)^0 ((1/2)t^4 + (1/4)t^3 - t)dt = int_(-2)^0...

Asked by enotes on via web

• Math
We will use linearity of integral: `int(a cdot f(x)+b cdot g(x))dx=a int f(x)dx+b int g(x)dx.` `int_0^3(1+6w^2-10w^4)dw=int_0^3dw+6int_0^3w^2dw-10int_0^3w^4dw=`...

Asked by enotes on via web

• Math
You need to use the following substitution to evaluate the definite integral, such that: `1 - t = u => -dt = du` `int_(-1)^1 t*(1-t)^2dt = int_(u_1)^(u_2) (1 - u)*u^2 (-du)` `int_(u_1)^(u_2) (u...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that: `int_a^b f(x)dx = F(b) - F(a)` `int_0^pi (5e^x+ 3sin x)dx = int_0^pi 5e^x dx + int_0^pi 3sin x...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that: `int_a^b f(x)dx = F(b) - F(a)` `int_1^2 (1/x^2 - 4/x^3)dx = int_1^2 1/x^2 dx - int_1^2 4/x^3 dx`...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that: `int_a^b f(x)dx = F(b) - F(a)` `int_0^4(3sqrt t - 2e^t)dt = int_0^4 3sqrt tdt - int_0^4 2e^t...

Asked by enotes on via web

• Math
You need to evaluate the indefinite integral, such that: `int f(x)dx = F(x) + c` `int (x^2 - x^(-2))dx = int (x^2)dx - int x^(-2) dx ` Evaluating each definite integral, using the formula `int x^n...

Asked by enotes on via web

• Math
`int sqrt(x^3)root(3)(x^2) dx` Before evaluating, convert the radicals to expressions with rational exponents. `= int x^(3/2)*x^(2/3) dx` Then, simplify the integrand. Apply the laws of exponent...

Asked by enotes on via web

• Math
`int (x^4-1/2x^3+1/4x-2)dx` To evaluate this integral, apply the formulas `int x^n dx=x^(n+1)/(n+1) +C` and `int adx = ax + C` . `int (x^4-1/2x^3+1/4x-2)dx` `=x^5/5 - 1/2*x^4/4 + 1/4*x^2/2-2x...

Asked by enotes on via web

• Math
`int (y^3+1.8y^2-2.4y)dy` To evaluate this integral, apply the formula `int x^n dx = x^(n+1)/(n+1) + C` . `= y^4/4 + 1.8y^3/3 - 2.4y^2/2 + C` `=0.25y^4 + 0.6y^3 - 1.2y^2 + C` Therefore, `...

Asked by enotes on via web

• Math
You need to evaluate the indefinite integral, such that: `int f(theta)d theta = F(theta) + c` `int (theta - csc theta* cot theta)d theta = int theta d theta - int (csc theta* cot theta)d theta`...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that: `int_a^b f(u) du = F(b) - F(a)` `int_0^3 (2sin x - e^x) dx =int_0^3 2sin x dx - int_0^3 e^x dx`...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that: `int_a^b f(x) dx = F(b) - F(a)` `int_(1/(sqrt3))^(sqrt 3) 8/(1+x^2) dx = 8 int_(1/(sqrt3))^(sqrt 3)...

Asked by enotes on via web

• Math
You need to evaluate the definite integral using the fundamental theorem of calculus, such that: `int_a^b f(u) du = F(b) - F(a)` `int_1^2 (4+u^2)/(u^3) du = int_1^2 4/(u^3) du + int_1^2 (u^2)/(u^3)...

Asked by enotes on via web

• History
There are many different ways to answer this question. Let us look at a few. One way to answer this is to say that Thanksgiving is celebrated as a way of emulating the Pilgrims who were some of...

Asked by enotestest on via web

• Politics
The problem with defining the term "extremist political organization" is that it is by nature one applied only in the second or third person. In other words, the word "extremism" is one we do not...

Asked by stariq1998 on via web

• Social Sciences
Compatibilism attempts to resolve the problem of free will and determinism by proposing that the two positions are compatible. Specifically, it asserts that: Determinism is true, that is, all human...

Asked by tracey1966 on via web

• History
Lincoln's Thanksgiving Proclamation, which declared the final day of November a national day of "thanksgiving and praise to Almighty God," was one of many similar declarations by American...

Asked by enotestest on via web

• Health
To evaluate an article from the perspective of what you and I find confusing or surprising about the content, we usually have to ask ourselves certain questions: 1)Does the author state his/her...

• Of Mice and Men
Crooks is the only farmhand who is African American. Living as a black man in the Depression Era, and among a bunch of rogue men of their generation, rendered Crooks as an outsider to the group....

• History
This phrase is found in the opening passage of the Declaration, where Jefferson is explaining why a declaration is needed in the first place. In this context "station" means something like "status"...

Asked by user3293309 on via web

• Science
The term "mRNA" stands for "messenger RNA". This is usually enough of a hint to remember their function; to carry messages in the body, specifically messages for creating proteins. The mRNA is like...

Asked by lovelyzebra16 on via web

• History
The word "imperialism" describes a process where a nation attempts to expand its influence beyond its own borders by gaining control of territories or peoples. This can come in a number of...

Asked by s157006 on via web

• Winter Dreams
Dexter's general feeling about winter is that it engulfs and shadows the beauty of summertime. In the story, we read that Dexter usually breaks out his skis when 'the long, Minnesota winter shut(s)...

Asked by th3p00kie on via web

• On My First Son
Before I answer that question, let's review the definition of "tone". Tone is a literary device that indicates the emotion the author intends to communicate in his/her work, conveyed through word...

Asked by awesomesinger33 on via web

• A Doll's House
Main Theme The most salient common theme shared among the female characters found in the short story "The Yellow Wallpaper" by Charlotte Perkins Gilman, the play A Doll's House by Henrik Ibsen, and...

Asked by wooka7685 on via web

• History
The social structure of the American colonies was far less stratified than that of Great Britain. While there were extremes of wealth, as in the Hudson River Valley, the South Carolina Low Country,...

Asked by khatryotto on via web

• Science
Good question. On the surface, they both appear to be very similar, because both ionization energy and electron affinity both deal with an atom's ability to do something with electrons. The...

• Carl Sandburg
That line was written by the American poet Carl Sandburg. The line is the opening line from his poem "Offering and Rebuff." The poem is quite short, but the opening stanza is a beautiful...

Asked by bruce0349 on via web