Search results

1. Proportionality of triangles problem

proportionality x1/x2=y1/y2
2. Proportionality of triangles problem

the curve is a parabola
3. Proportionality of triangles problem

Homework Statement Is any formulas similar to that of proportionality of the triangles to proportionality of the given figure? Homework Equations The Attempt at a Solution
4. Factoring methods with equations higher than second degree

Can I know what method you used? and teach me to solve this kind of equations?
5. Factoring methods with equations higher than second degree

when i used synthetic division, -1 is not a root of that equation. why should I divide the polynomial by x+1?
6. Factoring methods with equations higher than second degree

an example: how can you factor x^3 - 2x^2 + 10x + 7 = 0 It cannot be factored using synthetic division.
7. Factoring methods with equations higher than second degree

so what should I do if the the given cannot be factored by synthetic division? I already encountered one in differential equations and I do not know what to do.
8. Factoring methods with equations higher than second degree

Homework Statement Can someone tell what are the other factoring methods when dealing with equations higher than the second degree. The only I is the synthetic division. Aside from that, I do not know anything. I need other factoring methods so I can deal with problems that cannot be...
9. Help with 2 integrals

Factor first the denominator then use the partial fractions.
10. Integral of trigonometric functions

Homework Statement How can I integrate this: \int sin (nt) sin (n \pi t) dt This actually in the Fourier series.
11. The Fourier Series

Can 2n+1 be 2n-1 provided that n=1 to infinity? How can I know if the function can be converted in some form?
12. The Fourier Series

Homework Statement f(x) = 1 0<t<1 = -1 1<t<2 How can I simplify this given that function(on the attachment). What I mean is that how can I write the function in any other way? In addition, How can I know if the function can be written in other form? How can I...
13. Summation with infinity

Homework Statement what is the summation of a function where n=1 to n=infinity? For example, given a function sin[(pi)nt]. Homework Equations The Attempt at a Solution I asking how I get that I do not know what should I do
14. Fundamental Period (graph)

ok so how I prove by mathematical statement that the period f is 2? can this be or it can only be proved by graph?
15. Fundamental Period (graph)

thats what i am saying. f(t+2) =f(t) is given. what im trying to prove is that if k is not equal to zero, the period f is 2. how i should i plot the 1+kt?
16. Fundamental Period (graph)

Homework Statement The elements of f(t) are 1+kt and t here are 0<t<1 the other element is 1 and t here are 1<t<2. f(t+2)=f(t) prove if k is not equal to zero, the period f is 2. i know the graph of element 1 but how should I graph the other element with k. Based from the graph...
17. The Fundamental Period

is my last post correct?
18. The Fundamental Period

without using the listing of multiples, will this work? lets say, find the LCM of pi/2 and 3pi/4 Using LCD pi/2 becomes 2pi/4 and 3pi/4 is still 3pi/4 By multiplying 2 and 3, it becomes 6 Then the LCM is 6pi/4 or 3pi/2
19. The Fundamental Period

Am i correct? the multiples of pi/2 are pi/2, pi, 3pi/2, 2pi.... the multiples of 3pi/4 are 3pi/4, 3pi/2,9pi/4... so the LCM is 3pi/2.
20. The Fundamental Period

a mistake. it should be pi/2 and 3pi/4 is 3pi/2 there LCM.
21. The Fundamental Period

Im talking about his last post, pi/2 and 3pi/2, how it became 3pi/2. All I know about LCM is it for whole number just like the LCM of 3,5,and 15 is 30. For fraction, it is LCD.
22. The Fundamental Period

how do I can solve for the LCM if the given is fraction?
23. The Fundamental Period

what should I do?
24. The Fundamental Period

how about if the function comes in many terms? for example: 1+cost+cos2t Will I get the larger period among them or use the LCM? if LCM, how do I do that?
25. The Fundamental Period

oh i see... so you regroup the 5t+2pi+pi into (5t+pi)+2pi? how about if you dont regroup it?
26. The Fundamental Period

so 2p will only be added to t since the part 5t determines the period? ok i understand what you said thanks...
27. The Fundamental Period

where does pi/5 came from? what do I do to the 2pi/5 period?
28. The Fundamental Period

Homework Statement The function is defined on (-infinity, +infinity) Find the fundamental period of sin(5t+\pi) Homework Equations The Attempt at a Solution f(x)=sin(5t+\pi) f(x)=f(x+2p) f(x+2p)=sin(5t+\pi+2p) f(x+2\pi/5)=sin(5t+\pi+2\pi/5) The period i got was...
29. Integrate dy/dx

yes its ln but I type In. Sorry.
30. Arc Length

ok. I do not see that. Just a u-substitution.