Math homework Definition and 54 Threads

Summary:: Tripped by my grand daughter's math homework again! This is the homework of my grand daughter, I don't understand the question: I wrote the questions in red. I have not done geometry for a long time! I don't understand the equation JM^2 = KM . LM. Is the "dot" just multiply? or is...

Homework Statement: (cos2A -1)/sinA +sin2A/(cos2A+1)*cosA=__________________ Homework Equations: sin2A=2sinAcosA cos2A+1=cos^2A cos2A-1=sin^2A (cos2A -1)/sinA +sin2A/(cos2A+1)*cosA [cos^2(2A)-1 +2sin^2(A)cos^2(A)]/sinA(cos2A+1) [-sin^2(2A) + 2sin^2(A)cos^2(A)]/sinA(cos2A+1) I can't proceed...

Most people don't get to cal 1 in high-school by the time they are seniors. People are excepted to get ready for cal 2 by the time they get to college. People don't get to cal 1 because they don't study at their home. However, in my personal opinion, is homework a mistake to give to students...

I can never get started on, or never get motivated with my math homework. I know this seems like a stupid question, but if anyone has any tips, they would be helpful. Thanks!

Homework Statement Homework EquationsThe Attempt at a Solution

Homework Statement Homework Equations N/A The Attempt at a Solution Question 1) Suppose I tried to convert ##\int \int_c {-2y^3} dA## into polar coordinates. What would the limits be? I know that ##x = rcos(\theta), y = rsin(\theta)## but the two rs are different (unlike in a circle). Q2)...

Homework Statement How many values of k can be determined in general, such that (k/p) = ((k+1) /p) = 1, where 1 =< k <=p-1? Note: (k/p) and ((k+1)/p) are legendre symbols Question is more clearer on the image attached.Homework Equations On image. The Attempt at a Solution I've tried...

Homework Statement If the polynomial P(x) = x^2+ax+1 is a factor of T(x)=2x^3-16x+b, find a, b Homework EquationsThe Attempt at a Solution Let (px+q) be a factor of P(x), p can possibly be 1 and so can q, according to factor theorem, Hence, factors (x+1) or (x-1) P(1) = 0, substituting I got...

Homework Statement If f:(2,4)-->(1,3) where f(x)=x-[x/2] (where[.] denotes the greatest integer function), then find the inverse function of f(x). Homework Equations (None I believe.) The Attempt at a Solution I know that for a function to be invertible, it must be both one-one and onto...

Homework Statement Find the solutions to z^{\frac{3}{4}}=\sqrt{6}+\sqrt{2}i Homework Equations de Moivre's theorem The Attempt at a Solution z^{\frac{3}{4}}=2\sqrt{2}e^{\frac{\pi i}{6}}=2\sqrt{2}e^{\frac{\pi i}{6}+2k\pi}=2\sqrt{2}e^{\frac{\pi +12k\pi}{6}i} z=4e^{\frac{4}{3}{\frac{\pi...

Homework Statement Find the set of points of M such that: AM x BC=AM x AC (Vectors) The Attempt at a Solution [/b] AM x (BM+MC) =AMx(AM+MC) AMxBM+AMxMC=AMxAM +AM x MC Then AMxBM=0 MA X MB=0 I am new to this lesson and this is my first time i solve such a question and i had no idea...

There is a nice equation made by Nobuo Yamamoto which describes the curve of an egg and it is: (x^2 + y^2)^2 = ax^3 + (3/10)xy^2, where a is the length of the major axis of the egg. Solve this equation for y, we get: y=+/- sqrt((3/20)ax - x^2 + xsqrt((7/10)ax + (9/400)a^2)) When I rotate the...

Homework Statement A player hits a volleyball when it is 4 ft above the ground with an initial vertical velocity of 20 ft/s (equation would be h = -16t2 + 20t + 4). What is the maximum height of the ball? Homework Equations quadratic formula The Attempt at a Solution t = -20 ±√202 - 4(-16)(4)...

hi! i don't quite know how to start solving for this. i understand the problem and what it's asking for but i have no idea how to start solving for it. In a volleyball game, a player from one team spikes the ball over the net when the ball is 10 feet above the court. The spike drives the ball...

Homework Statement Please see the attached file. Homework EquationsThe Attempt at a Solution If my math is right so far, I am basically stuck as to what to do with the E(t) term. [/B]

Homework Statement I have attached the question in image format. Homework Equations The Attempt at a Solution I attached my attempt at solution as images. Kindly have look at them.

Homework Statement Determinant |a b c| |d e f| = 5 |g h i| What is the determinant of? |4a 4b 4c| |3d 3e 3f| | g h i| The Attempt at a Solution So far I got this, a(ei - hf) - b(di - gf) + c(dh - ge) = 5 How would I even go about this, I have 9 unknowns, but only 1 equations?

Homework Statement f(x) = [1 - tan(x)]/[1 - √2 sin(x)] for x ≠ π/4 = k/2 for x = π/4 Find the value of k if the function is continuous at x = π/4 The Attempt at a Solution This means that lim x → π/4 f(x) = k/2 I put x = (π/4 + h) and then...

Homework Statement referring to the attatchment. the current consists of two semi circles. the question asks me to find the voltage across a 47-uF capacitor when t = 2ms. Homework Equations v(t) = 1/C ∫ i(t)dt +v(t0) {I realize their has to be limits for the integrand,I just can't type...

Homework Statement show that for positive r and s, with r<s, we always have: r<(r+s)/2<s and 2/[(1/r)+(1/s)]^2< 2rs< (r+s)^2 Homework Equations The Attempt at a Solution i have shown that r<s because r+r<s+r, 2r<s+r, r<(s+r)/2 and 2r< (2s+2r)/4 (r+s)^2= r^2+2rs+s^2...

Homework Statement Homework Equations The Attempt at a Solution This isn't for me, my son asked me to solve this, and I don't remember high school math, seeing that it isn't my field of study.

How do YOU do your math homework? Do you read the pages of examples, proofs, theories, etc, in the textbook? Or do you learn it by taking notes in class? If you learn by taking notes in class, do you still read the textbook? Or do you just not read the textbook, and just skip to the problems...

Homework Statement http://puu.sh/ajGv Homework Equations ?? The Attempt at a Solution Q1- is -3, -1 and 1 Q2- CD is 2 Q3- I don't understand hence can't even start it

Homework Statement 1) A hyperbola goes through the point P(6, 2), and one of its asymptotes is the line r: 2x + 5y = 0. Determine its equation. 2) Prove that a line parallel to one asymptote of a hyperbola interesects it in a single point. Homework Equations The Attempt at a...

Homework Statement If (1+x+x2+x3)5 = Σk=0k=15akxk, then Σk=0k=7a2k is equal to? The Attempt at a Solution Put x=1 in the expression given. We get 45 = a0 + a1 + a2 + ... a15 Put x=-1 in the same expression 0 = a0 - a1 + a2 ... -a15 Adding the two results, 45 = 2(a0 + a2...a14)...

Homework Statement Seven chits are numbered 1 to 7. Three are drawn one by one with replacements. The probability that the least number on any selected chit is 5, is? The Attempt at a Solution We require 5 to be present on atleast one of the three chits and no number should be less...

Homework Statement In the field of rational functions ordered by end behavior, is the Cauchy Criterion satisfied?Homework Equations Definition of a sequence converging: Let e(x)>0, then there exists N s.t. if n >= N, then there exists an X s.t. if x>=X then |a_n(x)- a(x)|<e(x) Is this...

Homework Statement [PLAIN]http://img835.imageshack.us/img835/1108/question.png The Attempt at a Solution I understand that the determinant represents the set of points, x in R_k which lies in the hyper plane passing through the points p1, p2...p_k. I also know, that if the determinant is non...

Homework Statement car travels 18.2km due north then 43.2km at 53 degrees west of north. Find magnitude of car's resultant displacement. b.) calculate the direction of the car's resultant displacement, measured counter-clockwise from the northerly direction.Homework Equations The Attempt at a...

Homework Statement \int(2x^2+1)^7 Homework Equations The Attempt at a Solution u=2x^2+1 du=4xdx u7 (1/4x)du I am stuck... I don't know what to do next...

Homework Statement Suppose that P, Q, and R are regions in R2, and suppose T1 : P -> Q and T2 : Q -> R are dierentiable. Use the (multivariable) Chain Rule and det(AB) = det(A)det(B) to show that the Jacobian of the composition T2 o T1 is the product of the Jacobians of T1 and T2...

Homework Statement We are given f \epsilon C(T) [set of continuous and 2pi periodic functions] and PS(T) [set of piecewise smooth and 2pi periodic functions] SOlve the BVP ut(x,t) = uxx(x,t) ; (x,t) belongs to R x (0,inf) u(x,0) = f(x) ...

Homework Statement Show how to simplify (mBvB2 - mBvC2 - mCvC2)/(mBvB2) to mC/(mC + mB) Homework Equations vB is not equal to vC. vB = muzzle speed of a bullet = unknown value vC = speed of the clay block after it is hit by the bullet = unknown value vB = ((2gh)0.5(mB + mC))/mB vC =...

Homework Statement It's an extra credit assignment assigned by my math teacher, I sort of tried it but I'm not very good, and not too sure what else to do, this part isn't my strong suit. Here's the problem: (A) "If my son would live forever and he grows 1 inch this week, 1/2 inch next...

Hi!I have got problem on Indices ( which i think i 'm not nearing any solution ) Homework Statement Well the sum is a m^n= (a m)n Now it is to be expressed in terms of n Homework Equations none The Attempt at a Solution I tried this way as the bases are same .: m n= m...

Homework Statement Let A be a matrix corresponding to reflection in 2 dimensions across the line generated by a vector v . Check all true statements: A. lambda =1 is an eigenvalue for A B. Any vector w perpendicular to v is an eigenvector for A corresponding to the eigenvalue lambda =1. C...

Homework Statement Let A \inR be a non-empty,bounded set .Define B=A+1=\left\{a+1:a\inA\right\} Prove that sup(B) =sup(A)+1 Homework Equations The Attempt at a Solution let a\inA b\inB s\inR because B=A+1=\left\{a+1:a\inA\right\} so b=a+1 \forallb\inB s>= b \rightarrow s>=a+1 , s>=a so...

Homework Statement What single payment made immediately will settle the following obligations if money is worth 18 % compounded semi-annually a.) 5000 due in 3 years b.) 6000 due in 3 and 1/2 years with 10% simple interest rate c.) 7000 due in 5 and 1/4 years with interest at 16%...

Homework Statement Given that (csc a) = (sec0.75) and that 'a' lies in the second quadrant, determine the measure of angle 'a', to two decimal places. Homework Equations reciprocal and quotient identities. The Attempt at a Solution I only got as far as: 1/sin(a) = 1/cos(0.75) The answer...

Just wanted to control if i made my math homework correctly. Just one exercise. Made it on paper and scanned into computer. The task was to simplify. Here it is: http://img504.imageshack.us/img504/6669/mathexecisewq0.jpg Please check it before 5th Januar, because i have to show it to my...

Homework Statement suppose f(x-1/x+1)+f(-1/x)+f(1+x/1-x)=x then find f(x) Homework Equations The Attempt at a Solution

Homework Statement Find R(\tau) if a) S(\omega) = \frac{1}{(4+\omega^2)^2} Homework Equations I have given \frac{4}{4+\omega^2} <==> e^{-2|\tau|} The Attempt at a Solution So S(\omega) = \frac{1}{(4+\omega^2)^2}= \frac{1}{16}\frac{4}{(4+\omega^2)}\frac{4}{(4+\omega^2)} R(\tau)=...

An aircraft requires 25 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with same probability. (a) If 20 \% of all seams need reworking, what is the probability that a rivet is defective? So...

A rectangular solid is to be constructed with a special kind of wire along all the edges. The length of the base is to be twice the width of the base. The height of the rectangular solid is such that the total amount of wire used (for the whole figure) is 40 cm. Find the range of possible...

Homework Statement Let f:[0,2]->R be defined as: if 0 =< x =< 1 then f(x) = 4(x^3) if 1 < x =< 2 then x = x^2 + 2 Prove or disprove: There exist c_1 , c_2 in R so that F:[0,2]-R defined as: if 0 =< x =< 1 then f(x) = x^4 + c_1 if 1 < x =< 2 then x = (x^3)/3 + 2x + c_2 Homework...

Well for my Calculus homework, I have to graph only on graph paper. Should I just do everything on graph paper so I don't have to switch from graph to line and then back again? I'm having a hard time figuring out which way is best because the teacher will take off points for not graphing on...

A surveyor is trying to determine the height of a mountain. First, he msut determine how far away it is. He establishes a base line of 1km and measures the angle to the summit from both ends of the base line. The angle on the right side is 88degrees and the angle on the left end is 88degrees...

Differentiate with respect to x dy = 3x^2 - 5√x + 1/2x^2 dx __________________________________________ I don't understand how to differentiate this part: 5√x + 1/2x^2. I think changing it to indices form would be: x^1/5 + (2x)^-2? How can it be worked out? :confused:

What are the ROots: x^4+4x^3+14x^2=-4x-13 ok the 13 really causes a problem because you can't factor that. So I move the right side to the left and then you can't find a number that fits so that it equals zero so I tried factoring it somehow but can't do it can someone help?

Hi... I am working on a problem... 41.25 \sum_{n=0}^\24 \frac{n}{x^n} (on the top of the Sigma, it should say 24, NOT 4) I am searching, but can't seem to find a way to reduce that. Computing that up to [tex]n=24[/itex] is pretty tedious... Anybody know if there is a simpler...