In your first post. I should check my posts more carefully. The principle is that the general equation of a series is correct if it works for a number n and is n+1
i got k^2+k+2k+2=k^2+k+2k+2 by subbing in k=n into n(n+1)/2 and then taking that and subbing that into the sequence of k+1=n and...
im starting to get the hang of that now. however i have problems when trying to get the General formula of the series from the formula of the sequence. a example is that im asked to prove ((n^3)-n) is divisible by 6 for all n belongs to N by induction.
The principle is that if a series it is true for any number n it is ALSO true for the number that follows n. i solved the question above and got that k^2+3k+2==k^2+3k+2 therefore i proved this series. however the sequence is not always that easy as it it just equals n how do i find the nth term...
i am totally lost on this subject. like i have NO CLUE what its about or what to do or how to prove things. Can anyone recommend a good site or online resource about this induction stuff?
i am given C(28,2n)/C(24,2n-4)=225/11 where C are combonations. i am supposed to solve for n. after subbing in n and k and simplifying i get (11*28!)/2n!=(225*24!)/(2n-4)! (i am pretty sure this is correct). i do not seem to be able to continue after that. how do i solve for n?
okay if i do a cross product of the b vectors i will get a line that is perpendicular to both of the line but only at the origin. the line does not have to necessarily come across the origin right? so this would be the like B value of my 3rd line right? now then they want me to put the line so...
i know how to get values of vector b but i don't understand how to do the calculations. i dont know how to find the a line that intersects 2 other lines and at a 90 degree angle...
i am given parametric equations of 2 lines L1 and L2 and i am asked to find the vector, parametric and symmetric equation of a line that intersects these 2 lines at 90 degrees so a line that is perpendicular to those 2 lines. how do i go about this? at first i tried converting the parametric...
But i cant solve it there are too many variables.
i subbed in the values for W vectors and then i expanded it so now i have like C(1)V(1)+C(1)V(2) etc.. then i added up all the V(1) vectors and ended with sumthing like V(1)[C(1)+C(2)]=0 then that led me to
[C(1)+C(2)]=0 cause C would be the...
The numbers in brackets are supposed to be in subscript so V(2) would be V subscript 2 and the number in front is just multiply, all the variables are vectors so they have a arrow on top.
Determine if,
W(1) = 2V(1) + 3V(2) , W(2) = V(2) + 2V(3) and W(3) = -V(1) - 3V(3) are coplanar
i dont...
Thanks HallsofIvy for correcting me. But i dont understand if im given 3 vertices i would only know 2 vectors that form the parallelepiped and one vector that is a diagonal of the parallelepiped.
i am given the (x,y,z) coordinates of 3 sides of a parallelogram how do i go about finding the 4 coordinate. do i find the distance between points using the same way to find vectors then try to find direction angles or something like that? because there is no slope or anything to compare too...
okay im supposed to prove the derivitive of: sqrt x/y + sqrt y/x
is equal to y/x
okay im stuck where i have finally isolated y' i dont know how to reduce it further im stuck with this at the moment (see attachment)
can you please tell me the process you went through to simplify it?
so basically|x| means the answer is like always positive so therefor there will be a possibility of where the x is negative or -x and positvie just x right? so |x| is like F(x) rite? and if you sub x-7 for f(x) you would get like in order for x to be the positive value it would have to be...
so if |x|=(x,if x>=0, and -x, if x<0)
then what would be like |x-7| be equal too and how do you do this i do not understand why |x|equals (x,if x>=0, and -x, if x<0) could you explain it to me?
i still dont understand i can find the points where f(t) and g(t) intersect by graphing (how do i do this by graphing?) but what do you mean by having same points as zeros?
The graphs of f(theta) = 2sin(theta) - 1 , and g(theta) = 3cos(theta)+2 are given.
What equation would have the intersection points of the graph its solutions?
ummm..... what does this mean? and how do i solve it?
Given {x | -50 < x < 50}, {y | 0 < y < 20} vertex at (0,20) it is a parabola find the equation in (x-h)^2=4p(y-k)
its pretty easy except how do i find p?
Using a domain of {x | -50 < x < 50} and a range of {y | 0 < y < 20}, determine the following types of equations that you could use to model the curved arch.
The equation of a hyperbola in the form , where b = 10. The lower arm of the hyperbola would represent the arch...
thanks i am asked to draw a diagram that represent the locus in each of the following situations also i am asked "what is the locus of each?"
a) Going down on a elevator
b)sitting in a seat on a ferris wheel as it rotates
c)all the points that are 2cm from a parabola
d)all the point that...
yes that is what got from the question as well that means that there are 5 payments of 6000 to the school. the hockey star pay gives only 1 one payment.
so that means what i did for a) was correct right? my problem is i dont know how to sub that into the equation of Sn
A retired hockey star wants to set up a scholarship fund to assist an underprivileged child who would like to go to a post-secondary institution. He wants to ensure that the student will have $6000 per year for five years. How much should he give to the institution, now, to ensure that this can...
what is the maximum displacement of a pendulum i dont know what it is. is it the distance from the central point to the end of the arm? and how do i solve it if i am given a periodic Sin function?