| Subject | Date Asked | Expert |
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| Integration | 7/11/2009 | Abe Mantell |
Q: I am struggling to integrate x^3 divided by (2-x)^3. Any help would be appreciated.
A: Int(x^3/(2-x)^3 dx)...make a substitution: let u=2-x ==> x=2-u, dx=-du Thus, we get: ...
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| Differentiation | 7/10/2009 | Alon Mandes |
Q: An underground storage tank is being filled with liquid as shown in the diagram.Initially the tank ...
A: Ok , let's review our given facts : 1. At any given time t , the tank has an amount of liquid v(t). ...
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| Integration | 7/10/2009 | Alon Mandes |
Q: the constant a is such that integration of (xe^.5x) with limits a to 0 equal to 6.Show that a ...
A: The integral of xe^(x/2) is 2(x-2)e^(x/2). This can be easily shown via "Integration By Parts" ...
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| math - please help | 7/9/2009 | Paul Klarreich |
Q: Team currently has 172 stars. We need 560 to achieve a team goal. I am in NZ it is now 10th July, ...
A: Questioner: Tim Country: New Zealand Category: Calculus Private: Yes Subject: math - ...
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| Adavance calculus | 7/9/2009 | Scotto |
Q: 1. Given ΔABC with <B = 60° , b = 21.5 and c = 12.4, find <C , to the nearest tenth of a ...
A: 1. The law of cosines can be applied. It is a² = b² + c² - 2bc cos C, so all that has te be done is ...
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| Question about Calculus | 7/9/2009 | Abe Mantell |
Q: i really wana solve the questions qhich i m sending you. i actully already solve it but need not ...
A: OK... a) Divide each term by x to get: lim(x->oo) (1+2cos(x)/x)/(4+sin(x)/x) .. so the cos(x)/x and ...
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| Delta and Epsilon | 7/8/2009 | eigensteve |
Q: I am working on a proof that should be fairly simple but keep getting stuck. the problem is prove ...
A: The issue is in the condition "whenever 0<|x-a|<d". Given some specific e>0, we should be able to ...
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| Tornadoes as minimum volume and surface area problems | 7/7/2009 | Scotto |
Q: In response, I might mention that when I tried to obtain an answer in which both surface area and ...
A: That is correct - I mostly deal with mathematics. Math is what I know and what I use. I tried to ...
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| Limit | 7/7/2009 | Abe Mantell |
Q: How would I find the Limit as x approaches 0 of ((sin(x))/x)^(1/(x^2)) Thank you
A: Let y=((sin(x))/x)^(1/(x^2)), now take the "ln" of both sides to get: ...
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| Tangent Line | 7/6/2009 | Abe Mantell |
Q: Let m be a real number and consider the line y=3+m(x-2) and the unit circle (x^2)+(y^2)=1 on the ...
A: We can solve this algebraically, although it does get messy. Let's substitute y=3+m(x-2) into x^2 + ...
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| Plastic Calculation | 7/3/2009 | Scotto |
Q: How can calculate kg into meter i. e. we are giving guage, size? OR what is meter of 1 Kg oply film ...
A: If I understand the question, we have 1 kg of oply film. The film is 100 microns thick and 1000 mm ...
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| Calc. or Numeric Analysis | 7/2/2009 | Scotto |
Q: How do you use L'Hospital's Rule to compute 1. Lim as x approaches pos 0 of (cos x - ...
A: 1. Lim as x->+0 of (cos x - e^x)/(ln(1+x^2) L'Hospital's Rule says to take the derivative of the ...
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| Graph sketching. | 7/1/2009 | Paul Klarreich |
Q: I'm having a hard time figuring out this problem... X^2/1-x... trying to find the relative max and ...
A: Questioner: Brandon Country: United States Category: Calculus Private: No Subject: ...
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| Find Equation of the Tangent Line | 7/1/2009 | Alon Mandes |
Q: Find an equation of the tangent line to the graph of the function at the given point. f(x)= ...
A: Ok, 1st of all the equation of the line will be : y=ax+b. Where a is the slope & b is the intersect ...
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| Multi-Variable Epsilon-Delta | 7/1/2009 | Ahmed Salami |
Q: For some reason or another I can't seem to get the idea of epsilon-delta definitions of limits into ...
A: Remember that lim (A/B) = lim A/lim B where lim B is not equal to zero. lim(x,y)->(0,0) [y/(x^2 + ...
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| Multi-Variable Epsilon-Delta | 7/1/2009 | eigensteve |
Q: For some reason or another I can't seem to get the idea of epsilon-delta definitions of limits into ...
A: You have the right idea, that you need to relate |f(x)-L|<e to 0 < sqrt(x^2+y^2) < d. This is ...
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| mean value theorem | 7/1/2009 | eigensteve |
Q: I've been trying to solve this question about mean value theorem but it has me confused because it ...
A: The idea is that the mean value theorem guarantees a point in the interval where the slope is equal ...
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| Taking a derivative of a function in two variables | 6/27/2009 | Ahmed Salami |
Q: How do you take the derivative of a function in two variables? For example how would I take the ...
A: By the method of partial derivatives, dy/dx = -(&z/dx)/(&z/dy) where & represents the partial ...
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| Taking a derivative of a function in two variables | 6/27/2009 | Ahmed Salami |
Q: How do you take the derivative of a function in two variables? For example how would I take the ...
A: The trick is to always add a dy/dx whenever u differentiate a function in y. I hope you know the ...
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| Calculs | 6/26/2009 | Alon Mandes |
Q: Alon, I have the equation for the instantaneous voltage during the charge of a capacitor, viz ...
A: The calculus term in this section is due to the nature of the process of charging & discharging of ...
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| brief calculus | 6/25/2009 | eigensteve |
Q: I need help with some problems in my class. I'll be able to do the rest if I can get help with one ...
A: The derivative gives you a linear approximation, so first compute the derivative: dy/dx = ...
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| integration | 6/25/2009 | Scotto |
Q: I want to integrate the following function:∫(2x3 – 3x2 + 5x – 2)dx and ∫(5sin2θ + ...
A: You can't find the derivative of integral, but only a numerical approximation. For derivatives, use ...
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| need help on curve sketching | 6/25/2009 | Scotto |
Q: Given the following function, state the domain, all asymptotes, intercepts, relative extrema and ...
A: The function is f(x) = (4 - x²)/(x² + 1). To find the derivative, use the quotient rule. That is, ...
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| curve sketching | 6/25/2009 | Alon Mandes |
Q: I need help with this problem. Given the following function, state the domain, all asymptotes, ...
A: h(x)=(4-x^2)/(x^2+1) 1)Domain : All x ("because x^2+1 is always positive") 2)Intercepts with ...
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| calculus | 6/25/2009 | Scotto |
Q: how to sketch graph of the function and how to determine the domain and range to this problem f(x)= ...
A: First of all, the function is the function f(x) = √(9-x²)? If it is, then |x| <= 3, for if ...
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| Probability | 6/23/2009 | Scotto |
Q: There are four independant systems that generate either a Win or Loss output.The Win % on each ...
A: On the average you would get a little less than 43 wins per month. Unless they have more of an even ...
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| calculus | 6/23/2009 | Scotto |
Q: how do go by State the quadrant in which the angle terminates(is found) and state the value of the ...
A: The positive x axis is 0°, the positive y axis is 90°, the negative x axis is 270°, and the ...
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| calculus | 6/23/2009 | Scotto |
Q: State the exact value, in simple radical form : (NO DECIMALS !!) 1. sin 225° 2. tan 3π/4 ...
A: 1. The sin(225°) can be found by noticing that 225° the same as 180° + 45°. Now the sin() is ...
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| Probability | 6/23/2009 | Scotto |
Q: There are four independant systems that generate either a Win or Loss output.The Win % on each ...
A: THe win on the total of four systems, assuming they are all independent of each other and played ...
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| Proving Identities | 6/23/2009 | Scotto |
Q: sin^2x/(1-cosx)^2= 1+cosx/1-cosx
A: Take the right side and multiply the top and bottom by 1 - cosx. The result is ...
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| Calculus | 6/21/2009 | Paul Klarreich |
Q: What are the values of C_0 and C_1 in d(t) = C_1 + C_0 t - 16t^2, if d(1) = 4 and v(2) = -65? A) ...
A: Questioner: Blanca Country: United States Category: Calculus Private: No Subject: ...
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| HELP IN CALCULUS | 6/21/2009 | Paul Klarreich |
Q: Mathematically, what is a differential? A) A gear box on the back end of your car. B) A word used a ...
A: Questioner: Blanca Country: United States Category: Calculus Private: No Subject: HELP ...
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| Calculus | 6/21/2009 | Scotto |
Q: Which of the following is the best integration technique to use for ∫2x(x2 + 1)5 dx? A) The ...
A: 1) As I look at what we are integrating, the first thing that pops into my head is to let u = x² + ...
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| L'Hopital's Rule | 6/21/2009 | Scotto |
Q: What is a necessary condition for L'Hôpital's Rule to work? A) The function must be determinate. ...
A: To state L'Hôpital's Rule, it says that if lim x->c f(x) = lim x->c g(x) = 0 or lim x->c g(x) = ...
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| Calculus | 6/21/2009 | Scotto |
Q: If f(x) = 3x2, then F(x) = A) 6x B) x3 C) x3 + C D) 6x + C
A: I understand that f(x) = 3x². Since F(x) is used for ∫f(x)dx, it can be seen that there are ...
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| Inflection Point | 6/21/2009 | Scotto |
Q: Does f(c)= (c+2)^3 -2 have an inflection point? If so, where is it located? a) Yes, at (-2, -2) b) ...
A: It is known that f"(c) = 0 at an inflection point. It can be seen that f'(c) = 3(c+2)^2. Now we ...
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| TRIGONOMETRY (trigonometric functions) but not sure if this is also included with it | 6/20/2009 | eigensteve |
Q: answering these problems. I believe they have to be verified using the pythagorean identities (i ...
A: I believe that the way to approach this problem is by using a sketch of a triangle and what we know ...
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| Trigonometric functions | 6/20/2009 | Paul Klarreich |
Q: answering these problems. I believe they have to be verified using the pythagorean identities (i ...
A: Questioner: Veronica Country: Philippines Category: Calculus Private: No Subject: ...
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| TRIGONOMETRY | 6/20/2009 | Scotto |
Q: My name's Veronica and I'm currently having trouble answering these problems. I believe they have ...
A: 1) Verify: sinΘcosΘ = x√(25 - x²)/25. Where theta is an acute angle of triangle ABC ...
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| Equation of Tangent Line | 6/18/2009 | Alon Mandes |
Q: Question given: The curve y=lnx^3 has one tangent line that passes through the point (0,1). Find the ...
A: Ok Julia, first I made assumption that: The Tangent Line touch the curve at point A which has an ...
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