# Math Homework Help

### Showing All Questions Answered Popular Recommended Unanswered Editor's Choice in Math

• Math
The term is also spelled "inclinometers" and it is used to measure angels on slant (elevation and depression). They are commonly used in forestry. There are different models of inclinometers...

• Math
The man can go straight across a river in 5 minutes when the water flows at 10 m/s. To do this he would have to travel at an angle such that the component of his velocity in the direction opposite...

Asked by inahurry on via web

• Math
`2sin(2x)=4cos(x)-sin(x)+1` We can write `sin(2x)` as `sin(2x) =2sin(x)cos(x)` `4sin(x)cos(x)-4cos(x)+sin(x)-1=0` `4cos(x)(sin(x)-1)+1(sin(x)-1)=0` `(4cos(x)+1)(sin(x)-1) = 0` This gives us two...

Asked by doctype on via web

• Math
`y = te^(-t^2+1)` Differentiating wrt t. `y' = 1(e^(-t^2+1))+t(-2t)(e^(-t^2+1))` `y' = (1-2t^2)e^(-t^2+1)` For extreme points (maxima, minima and inflection points), `y' = 0` `(1-2t^2) = 0` `t...

Asked by utilityfan on via web

• Math
The function `f(t) = te^(-t^2) + 1` f'(t) = `(1 - 2t^2)*e^(-t^2)` f'(t) = 0 => `(1 - 2t^2)*e^(-t^2) = 0` `1 - 2t^2 = 0` => `2*t^2 = 1` => `t^2 = 1/2` =>` t = sqrt (1/2)` and `t =...

Asked by utilityfan on via web

• Math
The function `y = ln(3x - 1) - 2*ln x` Using the property of logarithms y = `ln(3x - 1) - ln x^2` => `ln((3x - 1)/(x^2))` The derivative of y is y' = `(2 - 3x)/(3x^2 - x) ` y' = 0 => `(2...

Asked by utilityfan on via web

• Math
The container is an upside down cone. The height, `H = 45 cm` The area of the top of cone, `A = pi(15)^2 = 225pi` If the water height at time t is h and diameter is 2r``. The water volume filled...

Asked by utilityfan on via web

• Math
There are two ways to compute the abundancy number for an integer n; it is the sum of the divisors of n divided by n, or the sum of the reciprocals of the divisors. For example:...

Asked by cheezykid on via web

• Math
`lim_(x-gt+oo)sqrt(x-2)/(x^2+5)` If you try to evaluate the limit straight away, you would get `oo/oo` answer which indeterminate. We can avoid this by dividing both numerator and denominator by...

Asked by vera1984 on via web

• Math
I may need some clarity on the equation you are asking about, so you may correct me if it does not look like this: `x-iy=sqrt(a-ib)/(c-id)` . Also, I am not sure what you wish to solve for....

Asked by kumarvaibhav123 on via web

• Math
Find a way for students to incorporate something they are interested in. When I was in high school, if a math teacher had let me work in something about baseball statistics I would have been a lot...

Asked by falsefantasy on via web

• Math
hey bro just turn off 2,3,4,5 they are the only things that would affect your whole composition. Even though there are other possibilities just turning off those i mensioned before will end up in...

Asked by anon0 on via web

• Math
The problem is being solved for a total of N hand shakes. This can be used to determine the number of people at the reunion for any value of N. Let the total number of people equal X. Any person...

Asked by ssdixon on via web

• Math
First you need to be careful with the word equivalence. Equivalent sets have the same members, loosely speaking, so the integers and the positive integers are not equivalent. However, the "size" of...

Asked by spatical on via web

• Math
You're correct. You're looking for the characteristic matrix of the transformation. Thankfully, your transformation makes the process somewhat simple. Let's take care of it in vector form: `vecx =...

Asked by xxxxxyyyya9 on via web

• Math
There are 7 letters in the word ARRANGE. Of these there are two instances of A. two instances of R and one instance each of N, G and E. The number of ways in which these letters can be rearranged...

Asked by ssdixon on via web

• Math
Johann Bernoulli's postulate is simple: it says that a value does not change if an infinitesimally small value is added to it or subtracted from it. An infinitesimally small value essentially takes...

Asked by spatical on via web

• Math
There are 11 male and 15 female candidates for the 4 member debate team. There is no restriction mentioned for the number of male and female members that can form the team. This gives the number of...

Asked by ssdixon on via web

• Math
Factoring applies to real life so much,there are a lot of ways, however there is one way i would use factoring in real life. If i am making a party, and i invited 12 of my close friends and i have...

Asked by victoriax on via web

• Math
You put the points in L1 they should be arranged counter clockwise. If you put them in clockwise you will get -1*Area. I tested it a couple of times, and it works. Press PRGM goto New and enter...

Asked by kaik on via web

• Math
To write sin x in terms of cos x use the relation `sin^2x + cos^2x=1` => `sin^2x = 1 - cos^2x` Taking the square root of both the sides gives two values of sin x `sin x = sqrt(1 - cos^2x)` and...

Asked by alyssa2014chica on via web

• Math
I think there is an error in your problem the LHS should be +1 not -1 ***RHS=`(csc^2x)(secx-1)=1/(sin^2x)(1/(cosx)-1)=` `1/(sin^2x)((1-cosx)/cosx)=1/(1-cos^2x)((1-cosx)/cosx)=`...

Asked by sputnik77 on via web

• Math
`(x-4)^2-1=8=>(x-4)^2=9=>x-4=+-3=>` `x-4=3=>x=7` or `x-4=-3=>x=1` `h=50t-2t^2` When t=5, we get `h=50*5-2(5)^2=>` `h=250-50=200` Hence the height os 200 meters.

Asked by enotessophia100 on via web

• Math
In the triangle CAT, the angle T which is denoted by`/_T` is adjacent to the sides a and c As the side c is opposite to the `/_C` ,we can draw a perpendicular to the side c from `/_C` Then we can...

Asked by hellook on via web

• Math
The math is somewhat different in pre-calculus. In addition to algebra, it includes a lot of trigonometry. Believe it or not, I don’t think I really understood algebra until I took calculus. So...

Asked by caleber96 on via web

• Math
a) If you need to solve `(1 - cos theta)/(tan theta + sec theta) = 0` , then, you need to substitute `sin theta/cos theta` for `tan theta` and `1/cos theta ` for `sec theta ` such that: `(1 - cos...

Asked by mavig on via web

• Math
a) You need to solve the equation `cos^2 2 theta + cos 2 theta = 0` You need to factor out `cos 2 theta` such that: `cos 2theta(cos 2 theta + 1) = 0` `cos 2 theta= 0` => 2 `theta = pi/2` or 2...

Asked by mavimalik on via web

• Math
a) `cos 2 theta = 0 =gt 2 theta = cos^(-1) 0 ` 2 theta = pi/2 or 2 theta = 3pi/2 `theta = pi/4or theta = 3pi/4` `b) tan theta = -1` `theta = tan^(-1)(-1) + n*pi` `theta = -pi/4 + n*pi` Hence, the...

Asked by maheen100 on via web

• Math
The characteristic equation of a circle is given by, `(x-a)^2+(y-b)^2=r^2` Where (a,b) is the center and r is the radius. The given equation is, `x^2 + y^2 - 4x - 4y - 6 = 0` Let us convert this...

Asked by lissy45213 on via web

• Math
From the given, we notice that the smallest value n can take is 2. So when n=2, we have `1-1/(2^2)=1-1/4=3/4` and `(2+1)/[2*2]=3/4` Hence the statement is true for n=2. Now suppose that the...

Asked by nikhilnair93 on via web

• Math
***Being clear is really important when writing this type of question. I'm unsure if the problem is (5x-6)/(4+3)>12, 5x-(6/4)+3>12, or (5x-6)/4 + 3>12. ***The above solution is correct if...

Asked by belle24 on via web

• Math
An important rule while working in Algebra, we do not like decimal approximation in the begining of the problem. It can lead to a large margin of error. Fraction lowest term is what you need to...

Asked by b-bug3411 on via web

• Math
Notice that the integrating factor is the coefficient of y such that: `mu` (x) `= e^(int (-2/x)dx) = e^(-2ln x)` `mu (x) = e^(ln (x^(-2)))` `mu (x) = x^(-2) =gt mu (x) = 1/x^2` You need to solve...

Asked by sho25052007 on via web

• Math
` `` ``E[S^2] = E[1/n sum_1^n (X_i- bar(X))^2]` `= E[1/n{sum_1^n(X_i^2 - 2X_ibar(X) + bar(X)^2)}]` `= E[1/n sum_1^n X_i^2 - 2bar(X) sum_1^n(X_i/n) + (nbar(X)^2)/n]` `= E[1/n sum_1^n X_i^2 -...

Asked by jitter on via web

• Math
If you have 24 matches and you want to see how many different triangles you can make with them, you can think of each match as one unit and determine how many triangles can possibly have a...

Asked by beingweird on via web

• Math
The distance around a track field (circumference). The distance around a car tire, which shows how far one roll is. The surface area on a pizza.

Asked by richon on via web

• Math
Let A be the tea that sells 240 pesos per kilo and Let B be the tea which sells 200 pesos per kilo. The amount taken from A is x and amount taken from B is y. Then, Total amount = `150 = x+y`...

Asked by spock5 on via web

• Math
Let the amount of the first tea to be mixed is x and the second be y. ==> The cost for the first tea is 240x ==> The cost for the second tea is 200y. The cost for the mixture is 240x+200y =...

Asked by spock4 on via web

• Math
Let x be amount invested at 5.5%, and y the total amount invested. y=4,000+x Let's construct the following table Amount 4,000 Pesos x pesos y pesosinvested Interest...

Asked by spock3 on via web

• Math
To find the inverse function we set it equal to y and solve for x. `y=2/[x+1]=>x+1=2/y=>x=2/y-1=>x=[2-y]/y` Hence the inverse function is `h^(-1)(x)=[2-x]/x` Domain: The new function is...

Asked by spock2 on via web

• Math
Given the quadratic equation : kx^2 + kx - 3x -3 = 0 ==> kx^2 + (k-3) x - 3 = 0 Given that the roots are equal. ==> x1= x2= x. We know that: x1+x2= -b/a ==> 2x = (3-k)/k ==> 2x = 3/k -...

Asked by spock1 on via web

• Math
This question is wrong. It should be an equilateral triangle. I will prove this for an equilateral triangle. In an equilateral triangle `A=B=C` and `A+B+C = pi` Therefore, `A=B=C= pi/3`...

Asked by prajjwalsubedi on via web

• Math
To add polunomials, I suggest the vertical method, that means set the two polynomial on top of each other, like we do in regular addtition. The catch: you have to make sure that same degree...

Asked by cenicienta on via web

• Math
Statement: If a triangle has an obtuse angle, then it is an obtuse triangle. Contrapositive: If a triangle is not an obtuse triangle, then it has no obtuse angle.

Asked by riot174 on via web

• Math
`x^2=8y=>y=1/8x^2` Vertex: x=-b/2a=>x=0, plug it in the original function, y=0. Hence vertex (0,0) Focus:To find the p, we set 4p=coefecient of the unsquare part (use the given equation...

Asked by therockyhorror on via web

• Math
I am assuming you have indicated` sec(theta) = -2` Therefore, `1/cos(theta) = -2` and `cos(theta) = -1/2` The primary solution for this is, `theta = pi -pi/3 = (2pi)/3` To find the solutions in...

Asked by ophillips18 on via web

• Math
`cosec(theta) = -2` we know, `cosec(theta) = 1/sin(theta)` , then, `1/sin(theta) =-2` This gives, `sin(theta) = -1/2` `theta = sin^(-1)(-1/2)` `theta = -pi/6` This is the primary solution, to...

Asked by rapsplash on via web

• Math
1) `10x^2+4x+2 = 0` First try to simplify this by dividing by 2. This would get, `5x^2+2x+1 = 0` To solve this problem you can use the general formula. For a quadratic equation of `ax^2+bx+c = 0`...

Asked by winzgirl on via web

• Math
The given equation is `a(v) = 12v-6` and initial conditions are v=6 at t=0 and s = 0 when t = 0. `a = 12v -6` We can write acceleration as, `a = (dv)/(dt)` Therefore, `(dv)/(dt) = 12v-6`...

Asked by lxsptter on via web