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About Scotto
(Top Expert on this page)

Expertise
Any kind of mathematics (algebra, geometry, trigonometry, matrices, calculus, linear approximation, finite differences, linear regression, linear programming, numerical analysis, probability, statistics, etc.). I also have answered some questions in Physics, Chemistry, and Biology. I would like to volunteer in all areas of Mathematics, not just calculus, and the other three courses that were mentioned.

Experience
Experience in the area: I have tutored students in all areas of mathematics for over 20 years. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.

Publications
Maybe not a publication, but I have respond to around 2000 questions on the computer in this language and 1000's of questions in college.

Education/Credentials
I received honors in both my BS and MS degree from Oregon State University.

Awards and Honors
I have been nominated as the expert of the month several times. All of my scores right now are at least a 9.8 average.

Past/Present Clients
My past clients have been students at OSU, students at the college in South Seattle, people from my church, and people like you.

   

You are here:  Experts > Teens > Homework/Study Tips > Calculus

SubjectDate AskedExpert

Integration7/11/2009Abe 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: ...
Differentiation7/10/2009Alon 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). ...
Integration7/10/2009Alon 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" ...
math - please help7/9/2009Paul 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 - ...
Adavance calculus7/9/2009Scotto
  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 ...
Question about Calculus7/9/2009Abe 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 ...
Delta and Epsilon7/8/2009eigensteve
  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 ...
Tornadoes as minimum volume and surface area problems7/7/2009Scotto
  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 ...
Limit7/7/2009Abe 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: ...
Tangent Line7/6/2009Abe 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 + ...
Plastic Calculation7/3/2009Scotto
  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 ...
Calc. or Numeric Analysis7/2/2009Scotto
  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 ...
Graph sketching.7/1/2009Paul 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: ...
Find Equation of the Tangent Line7/1/2009Alon 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 ...
Multi-Variable Epsilon-Delta7/1/2009Ahmed 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 + ...
Multi-Variable Epsilon-Delta7/1/2009eigensteve
  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 ...
mean value theorem7/1/2009eigensteve
  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 ...
Taking a derivative of a function in two variables6/27/2009Ahmed 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 ...
Taking a derivative of a function in two variables6/27/2009Ahmed 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 ...
Calculs6/26/2009Alon 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 ...
brief calculus6/25/2009eigensteve
  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 = ...
integration6/25/2009Scotto
  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 ...
need help on curve sketching6/25/2009Scotto
  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, ...
curve sketching6/25/2009Alon 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 ...
calculus6/25/2009Scotto
  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 ...
Probability6/23/2009Scotto
  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 ...
calculus6/23/2009Scotto
  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 ...
calculus6/23/2009Scotto
  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 ...
Probability6/23/2009Scotto
  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 ...
Proving Identities6/23/2009Scotto
  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 ...
Calculus6/21/2009Paul 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: ...
HELP IN CALCULUS6/21/2009Paul 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 ...
Calculus6/21/2009Scotto
  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 + ...
L'Hopital's Rule6/21/2009Scotto
  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) = ...
Calculus6/21/2009Scotto
  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 ...
Inflection Point6/21/2009Scotto
  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 ...
TRIGONOMETRY (trigonometric functions) but not sure if this is also included with it6/20/2009eigensteve
  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 ...
Trigonometric functions6/20/2009Paul 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: ...
TRIGONOMETRY6/20/2009Scotto
  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 ...
Equation of Tangent Line6/18/2009Alon 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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