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X is due north of Y ... |
2004-08-11 |
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From A student:
X is due north of Y and 2km distant. Z is due east of Y and has a bearing of S35°12'E from X. How far, to the nearest metre, is Z from X?
Answered by Penny Nom. |
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Cubic yards of dirt |
2004-08-11 |
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From A parent:
How many cubic yards of dirt would it take to fill an area that is 325 feet by 325 feet and is 3 feet deep?
Answered by Penny Nom. |
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Acres and miles |
2004-08-11 |
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From A student:
How many acres are in 1 mile?
Answered by Penny Nom. |
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2.79 acres |
2004-08-11 |
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From Helen:
What would the square footage be of 2.79 acres?
Answered by Penny Nom. |
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Area of a hexagon |
2004-08-10 |
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From RB:
Hello. I need to find the Area in sq. ft. of a Hexagon with 6 equal sides, of 26' each.
Answered by Penny Nom. |
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A conic |
2004-08-10 |
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From A student:
My question is about this equation 32x*2 -18y*2 -64x +72y +248 =0
explain why as x goes to the infinity the graph of the conic looks like y= (3/4)X.
What I did to try to find the solution of this problem was to graph and then I thought that maybe trying to find the equation of the asymptotes I could do it, but it was useless -because the equation of the asymptotes is y= +4/3(X-1) -2 and that does not explain why tho conic looks like y=(3/4) x . I would really appreciate your help on this.
Answered by Penny Nom. |
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Constructing a triangle |
2004-08-08 |
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From KV:
HOW TO CONSTRUCT A TRIANGLE ABC, WHEN
ITS ALTITUDES AD,BE,CF ARE GIVEN
Answered by Chris Fisher. |
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A big number |
2004-08-08 |
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From Carter:
Can you tell me what number this is?
10,000,000,000,000,000,000,000,000,000,000,000,000
Where can I find the names for big numbers?
Answered by Penny Nom. |
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Limits and composite functions |
2004-08-07 |
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From Sue:
I have two questions, one about a limit and the other about a composite function. If you could help me, I'd really appreciate it.
1. Find the limit:
lim[x->0] (x*csc(x))
I converted csc(x) to cos(x)/sin(x), but I didn't know what to do after that.
2. f(g(x)) = ln(x^2 + 4), f(x) = ln(x^2) and g(x) > 0 for all real x, find g(x):
I'm having trouble with this one because x^2 + 4 isn't a perfect square.
--Sue
Answered by Penny Nom. |
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The integrating factor method |
2004-08-05 |
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From A student:
Whilst using the integrating factor method, I am required to integrate a function multipled by another function.
say f(t) = exp(kt) and some other function g(t); where exp = exponential and k is some constant.
Integral f(t)*g(t) dt or
Integral exp(kt)*g(t) dt
What would the result of this integral be? I have never met an integral like this before. Would it simply be exp(kt)*g(t)/k?
More specifically, the problem and my attempted answer is in PDF format:
In my attempted solution, I am unsure about the last two lines I have written out, as it relates to integrating a function multipled by another function.
Answered by Harley Weston. |
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Integrating e^sin(x) |
2004-08-04 |
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From A student:
I need to know that how to solve the integral " e^sin x",
Answered by Harley Weston. |
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Differentiation |
2004-08-04 |
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From A parent:
I am a parent trying to understand higher level of maths and would be very grateful if you could help with differentiating the following functions, identifying general rules of calculus:
a) f(x)=e^2^xIn(cos(8x))
b) f(x)=secx/SQRTx^4+1
Answered by Penny Nom. |
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Two trig problems |
2004-08-04 |
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From Tracie:
sin^2x - sin x -12 = 0
sin 2x = -sin x
Answered by Penny Nom. |
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When is the limit of f(x) undefined? |
2004-08-03 |
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From Nicolasa:
When is the limit of f(x) undefined?
Answered by Penny Nom. |
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an integer with three factors |
2004-08-03 |
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From A student:
What is the probability that a randomly chosen 3 digit number has exactly 3 factors
Answered by Penny Nom. |
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