| Subject | Date Asked | Expert |
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| Integration methods | 2/8/2010 | Paul Klarreich |
Q: I'm being asked to integrate x^3/(sqrt(4x^2-7))dx? My math teacher sucks and I have no clue what to ...
A: Questioner: Matt kaczmarek Category: Calculus Private: No Subject: calculus 2I'm being asked to ...
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| Basic limits | 2/7/2010 | Paul Klarreich |
Q: lim -> 2^- (x^2-3x+2)/(x^3-2x^2) -I keep getting -3/4 as my answer, but I know that is not ...
A: Questioner: ektee Country: United States Category: Calculus Private: No Subject: calculuslim -> ...
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| Basic limits | 2/7/2010 | Paul Klarreich |
Q: lim theta->0 (sin(theta))/(sin2(theta)) which led me to get: sin 0/ sin 2*0 = sin 0/sin0 = 1?
A: Questioner: ekta Country: United States Category: Calculus Private: No Subject: calculus -12th ...
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| calculus | 2/7/2010 | Scotto |
Q: lim x->1 (x^4-1)/(x^3-1)
A: Numerator Note that x^4 - 1 is a difference of x^2 squared minus 1 squared. This makes if factor ...
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| Finding antiderivative | 2/7/2010 | Alon Mandes |
Q: can u help me find the antiderivative of this: (sec²x)/(4-tan²x)^3/2 dx
A: The derivative of f/g^(3/2) is : f'*g^(3/2)-f*(3/2)*g'*g^(1/2) ------------------------- . ...
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| Calculus | 2/6/2010 | Scotto |
Q: Hey, sorry for your time. This is the Q sir, Find the X-coordinate of the point of the curve ...
A: To sketch and graph it, do it on Excel. As far as doing it mathemtically, we are given that y = ...
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| Functions and their graphs | 2/6/2010 | Scotto |
Q: Define f(x) to be the larger of x and 2-x. Sketch the graph f(x). What are its domain and range? ...
A: The graph will be in the form of a V with 45° slopes that has a vertex at (2,0). The domain is all x ...
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| Differential calculus: Optimization | 2/5/2010 | Scotto |
Q: Can you please help me with this problems? 1. A rectangular building will be constructed on a lot in ...
A: 1. The lot is 60 by 80, so the diagonal has length L = √(60²+80²) = √(3600+6400) = ...
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| Stationary points | 2/4/2010 | Scotto |
Q: I am having trouble identifying the i) stationary points, and ii) the nature of the stationary ...
A: A stationary point will be where the slope is 0. It can be seen that df/dx = 6x + 6y + 12 and df/dy ...
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| Calc. HELP!!!! | 2/4/2010 | Scotto |
Q: 1.given y=x^2-2x+3 find the equation for the line which contains (2,3) and is perpendicular to the ...
A: 1. If the slope of a line is m, the perpendicular slope is -1/m. The slope of a tangent has the ...
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| Sinusoidal graphs | 2/4/2010 | Paul Klarreich |
Q: Assume the number of hours of daylight in Portland, Oregon is a transformed sine graph(also known as ...
A: Questioner: lole Country: United States Category: Calculus Private: No Subject: calculusAssume ...
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| intermediate value thm | 2/3/2010 | Ahmed Salami |
Q: My question is; x^3+15x+1=0 show that the function has 3 solutions in [-4,4].I know that i should ...
A: The cubic equation of the form x³ + px + q = 0 has three real and different roots when 4p³ + 27q² < ...
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| Calculus | 2/3/2010 | Scotto |
Q: Assume the number of hours of daylight in portland, Oregon is a transformed sine graph(also known as ...
A: For a sine wave, the minimum is -1 and the maximum is 1, so the range is 2. For the hours of ...
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| Conic Sections | 2/3/2010 | Scotto |
Q: Find the vertices, foci, axes and center of the conic section: 8y^2+6x^2-36x-64y-134=0
A: First, regroup the terms and factor out the square coefficient. This gives 8(y²-8y) + 6(x²-6x) = ...
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| Area between curves | 2/2/2010 | Paul Klarreich |
Q: There is a line through the origin that divides the region bounded by the parabola y = 7 x - 8 x^2 ...
A: Questioner: mike Country: United States Category: Calculus Private: No Subject: areaThere is a ...
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| Area of two curves. | 2/2/2010 | Scotto |
Q: There is a line through the origin that divides the region bounded by the parabola y = 7 x - 8 x^2 ...
A: The parabola, f(x) = 7x - 8x², has a maximum where f'(x) = 0, so at 7 - 16x. Setting 7 - 16x to 0 ...
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| inequality | 2/1/2010 | Ahmed Salami |
Q: I am studying for a test i have next week and i am stuck on this question i need to give the values ...
A: We have the inequality (x² - 3x + 2)/(x² - 6x + 9) >= 0 factorizing, (x-2)(x-1)/(x-3)² >= 0 In ...
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| Confidence interval | 2/1/2010 | Scotto |
Q: A car leasing firm is interested in the average usage of fuel (in litres) per 100 km for a certain ...
A: The formula for the standard deviation is (sum(xi²) - [sum(xi)]²/n)/(n-1). In this case, n=8, so ...
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| Basic integration | 2/1/2010 | Paul Klarreich |
Q: I have question what iss the inteegration of cos t +cos 2t
A: Questioner: lotoya Country: Mexico Category: Calculus Private: No Subject: mathshello Paul, I ...
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| domain | 2/1/2010 | Paul Klarreich |
Q: can the domain of f(x) be the square root of a negative number
A: Questioner: Vern Country: United States Category: Calculus Private: No Subject: calculus ...
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| optimization | 2/1/2010 | Alon Mandes |
Q: A window consisting of a rectangle topped by a semi circle is to have an outer perimeter P. Find the ...
A: I attached an image or a drawing to illustrate the problem . P=2x+2y+2πr . Since r=y/2 , then ...
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| l'Hospital's rule. | 1/31/2010 | Paul Klarreich |
Q: Evaluate the following limit: Lim x--> pi/x [sec(x)-tan(x)] Multiple choice answers are as ...
A: Questioner: Katherine Country: United States Category: Calculus Private: No Subject: ...
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| Improper integrals | 1/31/2010 | Paul Klarreich |
Q: Evaluate the following integral: {infinity | 1/((sqrt(x))(x+1))dx }0 Since I cannot evaluate the ...
A: Questioner: Jamie Country: United States Category: Calculus Private: No Subject: Integrals ...
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| Basic derivative applications. | 1/31/2010 | Paul Klarreich |
Q: 1) Where is the graph of f(x) = e^(-x^2) concave down? 2) Find an equation of the line tangent to ...
A: Questioner: Carolyn Country: United States Category: Calculus1) Where is the graph of f(x) = ...
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| a calculus two question | 1/31/2010 | Alon Mandes |
Q: consider s=f(t)= sin t on {0, 2 TT--that is suppose to be the symbol for pi---0, 2 PI). How far ...
A: S(t) represents the distance of the particle from the origin . at 0<t<pi/2 the particle is moving ...
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| using trig identities | 1/31/2010 | Scotto |
Q: In each case, find sin(α), cos(α), tan(α), csc(α), sec(α), and cot(α). ...
A: Since the sin(2α) is -15/17 and 2α is in the III quadrant, that makes the other side ...
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| double and half angle identities | 1/31/2010 | Ahmed Salami |
Q: In each case, find sin(α), cos(α), tan(α), csc(α), sec(α), and cot(α). ...
A: sin(2α) = -15/17 cos(2α) = √[1 - sin²(2α)] = √[1 - (-15/17)²] ...
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| Linear programming | 1/30/2010 | Paul Klarreich |
Q: Could you please help me to resolve this? ( A manufactures makes 2 kinds of chairs. The basic chair ...
A: Questioner: thu Country: Czech Republic Category: Calculus Private: No Subject: Please help ...
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| Volume problems? | 1/30/2010 | Scotto |
Q: sorry for your time. I have three volume problems, but my issue is ALWAYS the first step: Do I use ...
A: The answer is all three are used. The outer one is a dsik and the inner one is a disk. Taking the ...
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| Differential Equation? | 1/30/2010 | Ahmed Salami |
Q: Sorry for your time! Consider the differential equation dy/dx= (3x^2)/(e^[2y]). a) Find a ...
A: dy/dx = 3x²/e^(2y) Cross multiplying, e^(2y) dy = 3x² dx Integrating bothsides, ∫e^(2y) dy = ...
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| Related rates | 1/30/2010 | Paul Klarreich |
Q: A flask in shape of a cone of height 20cm and radius 8cm is held vertex downwards. Show that when ...
A: Questioner: Abirami Country: Malaysia Category: Calculus Private: No Subject: Rate of CHangeA ...
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| Integrals using Substitution | 1/28/2010 | Paul Klarreich |
Q: Evaluate the following integral: {1 | (sqrt(t))/(t+1) }0 For this I tried substituting u=t, ...
A: Questioner: mike Country: United States Category: Calculus Private: No Subject: definite ...
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| Indefinite Integrals using Substitution | 1/27/2010 | Paul Klarreich |
Q: 1. Find the following integral. Note that you can check your answer by differentiation. { | ...
A: Questioner: Mike Country: United States Category: Calculus Private: Yes Subject: Indefinite ...
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| Basic derivative rules. | 1/27/2010 | Paul Klarreich |
Q: Can you in as many steps as possible calculate this differentiation?: d/dx sqrt (27 - x^2) divided ...
A: Questioner: miles Country: United Kingdom Category: Calculus Private: No Subject: calculusHi, ...
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| Calc 2 | 1/27/2010 | Scotto |
Q: The table below gives the power consumption in megawatts in San Diego Country from midnight to ...
A: There are 13 points, which make 12 intervals. There is one interval from 0:00 to 1:00, another from ...
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| Calc 2 | 1/27/2010 | Scotto |
Q: my name is Yuriy and I am having difficulties applying the Trapezoid Rule and the Simpson's Rule. ...
A: The error on the trapezoidal rule is given by K(b-a)³/12n², where K >= |f"(x)| for all x in 0 to ...
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| First derivative | 1/26/2010 | Paul Klarreich |
Q: Im Reynand. why is it that the 1st derivative of f(x)=(x^2)+x..is equal to f(x)=4x+1...why is it ...
A: Actually i used the y=nx^(n-1)..... Yes, that is the x^n rule. But it says that if y = x^n, then ...
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| Related Rates | 1/26/2010 | Alon Mandes |
Q: I am in desperate need of help with this problem: A pyramidal watering trough is being filled at a ...
A: I attached an image to illustrate the figure . From geometry , we know that : h/3=x/10 therefore : ...
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| velocity problem | 1/26/2010 | Paul Klarreich |
Q: I asked you this earlier and got the answer for total displacement but now when I try and find ...
A: Questioner: brooke Country: United States Category: Calculus Private: No Subject: velocity ...
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| integrals | 1/25/2010 | Scotto |
Q: I'm having trouble with integrals, and the problem I'm stuck on is this: (pi/3 | ...
A: Now are variable in the integral was really theta, but I'll change it to x, so we're doing ...
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