# Math Homework Help

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• Math
We have the functions f(x) = 2x-7 and g(x) = sqrt (2x) - 1. We have to find fog(x). fog(x) = f(g(x)) => f( sqrt 2x - 1) => 2*(sqrt 2x - 1) - 7 => 2* sqrt 2x - 2 - 7 => 2* sqrt 2x - 9...

Asked by giokarinos on via web

• Math
We have a number that can be expressed in terms of factors as a*4^3*6^2*13^11. The number given, needs to have 11^2 and 3^3 as factors. Now, in a*4^3*6^2*13^11 we see there is no factor of 11. 6^2...

Asked by callen202 on via web

• Math
A practical example of an inverse function could be the following. A particle travels at a varying speed which is given by v(t) = 3t + 6, where t is the time travelled by the particle. Now if we...

Asked by giokarinos on via web

• Math
In the problem, the train is travelling at 140 km/h. It crosses the man which can be taken as a single point in 2 seconds and it requires 8 seconds to cross the platform. The extra 6 seconds are...

Asked by alrightstudent on via web

• Math
We are given the word MATHEMATICS. The 4 letter words that we have to create have to start with M and end with S. Now, for the letters at the 2nd and the 3rd place, we have 2 As, 2 Ts, H, E, M I...

Asked by xetaalpha2 on via web

• Math
We'll have to determine the intercepting point of the line AB and the line that represents the first bisectrix. For this reason, we'll have to solve the system formed from the equations of the line...

Asked by l0l1 on via web

• Math
First, let's write f(n+1) and f(n), substituting x by n+1 and n: f(n+1) = (n+1)^3 + 3(n+1) + 2 f(n+1) = n^3 + 1 + 3n(n+1) + 3(n+1) + 2 f(n+1) = n^3 + 3(n+1)(n+1) + 3 f(n+1) = n^3 + 3(n+1)^2 + 3...

Asked by albimaia on via web

• Math
The angle of elevation from a point 50 feet from the base of the tree to the top of the tree is 30 degrees. Now tan 30 = height of tree/ distance of the point from the base => tan 30 = H / 50...

Asked by ulichh on via web

• Math
We have to prove that 1 - 2(sin a)^2 = (cos a)^4 - (sin a)^4. We know that (sin a)^2 + (cos a)^2 = 1 (cos a)^4 - (sin a)^4 => [(cos a)^2 - (sin a)^2][(cos a)^2 + (sin a)^2] => [(cos a)^2...

Asked by purpl3pink on via web

• Math
x + y = pi/4 if and only if tan (x+y) = tan pi/4 = 1 So, we'll have to prove that tan (x+y) = 1. We'll apply the formula of tangent of the sum of 2 angles: tan (x + y) = (tan x + tan y)/(1 - tan...

Asked by uwe on via web

• Math
The area of a triangle is given as (1/2)*base*height. Now in the given triangle, the height is twice the base and the area is 576 => (1/2)* base*2*base = 576 => base^2 = 576 => base = 24...

Asked by jolyanne on via web

• Math
The volume of a cylinder with a base of area A and height h is A*h. Here we have a can, the diameter of which is 5 inches. The area is equal to pi*(5/2)^2. Its height is 2 more than three times the...

Asked by denyss on via web

• Math
By definition, C(2n-3,2) = (2n-3)!/2!*(2n-3-2)! C(2n-3,2) = (2n-3)!/2!*(2n-5)! But (2n-5)! = (2n - 5)!(2n - 4)(2n - 3) 2! = 1*2 = 2 C(2n-3,2) = (2n - 5)!(2n - 4)(2n - 3)/2*(2n - 5)! We'll simplify...

Asked by maisaphie on via web

• Math
Given that the side of the square is 2sqrt2. Then, we know that the diagonal pf the square is the diagonal of the circle. Let us calculate. The diagonal = sqrt(side^2 + side^2)...

Asked by kikiri on via web

• Math
Given that: f(x) = 1/(x-1)(x-2) We need to find f'(0) First we need to find the first derivative f'(x). Let f(x) = 1/(x-1) *(1/(x-2) = u*v such that: u = 1/(x-1) ==> u' = -1/(x-1)^2 v= 1/(x-2)...

Asked by sapon on via web

• Math
Given the polynomial f(x) = x^4 + x^2 + 1 Divided by g(x) = x^2 + 2x + 3. We need to find the remainder. First we will divide and determine the quotient. ==> f(x) = g(x)*P(x) + R where R is the...

Asked by babysana on via web

• Math
We have the equation x^2-3x+1=0 x^2 - 3x + 1 = 0 x1 = [-b + sqrt ( b^2 - 4ac)]/2a => [ 3 + sqrt(9 - 4)]/2 => 3/2 + sqrt 5/2 x2 = 3/2 - sqrt 5/2 The sum of the square of these roots is: (3/2 +...

Asked by corrcorina on via web

• Math
We have to solve lg(8x+9) + lgx = 1 + lg(x^2 - 1) for x. Now, we use the relation that lg a + lg b = lg(a*b) lg(8x+9) + lgx = 1 + lg(x^2 - 1) => lg [( 8x + 9)*x] = 1 + lg ( x^2 - 1) => lg [...

Asked by merishorverde on via web

• Math
We have the sum of the roots of the quadratic equation as 5 and the product of the roots as 6. Let the roots be A and B. Here we don't need to consider the quadratic equation. We can find A and B...

Asked by printsaltr on via web

• Math
We have to solve the equation x = 6[(x-2)^1/2 - 1] x = 6[(x-2)^1/2 - 1] => x = 6*( x - 2)^1/2 - 6 => x + 6 = 6*( x - 2)^1/2 take the square of both the sides => x^2 + 36 + 12x = 36 ( x -...

Asked by betzishor on via web

• Math
We have to find the derivative of y= 1/(x^3+3x^2+2x) y = 1/(x^3+3x^2+2x) = (x^3+3x^2+2x)^-1 Using the chain rule y' = -(x^3+3x^2+2x)^-2 * ( 3x^2 + 6x + 2) => y' = - ( 3x^2 + 6x + 2) /...

Asked by olaf on via web

• Math
This is a simple quadratic function. To solve x or y, we need to put the coefficient of x or y same for each equation so that x or y can be eliminated when we subtract or add the two equations....

Asked by lipiciuc on via web

• Math
We have to find the sum of the extremes of f(x) = (x^2 + 3x - 3) / (x-1). We have to differentiate f(x). f'(x) = [(x^2 + 3x - 3)'*(x - 1) - (x^2 + 3x - 3)*(x - 1)']/(x - 1)^2 => [(2x + 3)(x - 1)...

Asked by raydusol on via web

• Math
It is given that Xn = sum[ 1/k*(k+1)*(k+2)]. We can write 1/k*(k+1)*(k+2) as A / k + B/(k+1) + C/(k+2) => 1/k*(k+1)*(k+2) = A / k + B/(k+1) + C/(k+2) => 1 = A(k+1)(k+2) + B(k)(k+2) +...

Asked by mabottle on via web

• Math
To determine the points that lie on both the curves y=x^2+x+1 and y=-x^2-2x+6, we have to equate the two. Doing this gives x^2 + x + 1 = -x^2 - 2x + 6 => x^2 + x^2 + x + 2x + 1 - 6 = 0 =>...

Asked by zarvamea on via web

• Math
We have to find the values of x for which the following inequation holds : 3x - 6 < 2x + 4 3x - 6 < 2x + 4 subtract 2x from both the sides => 3x - 2x - 6 < 2x - 2x + 4 => x - 6...

Asked by fairydrink on via web

• Math
The domain of a function f(x) is all the values of x for which f(x) is a determinate quantity. Here f(x) = 5 / (5x - 7) f(x) is not defined for 5x - 7 = 0 => 5x = 7 => x = 7/5 Therefore the...

Asked by gudeapp on via web

• Math
Justin builds 15 snowballs in an hour and 2 snowballs melt every 15 minutes. So in an hour he makes 15 snowballs of which 2*4 = 8 melt leaving him with 7. As he needs to build 210 snowballs, it...

Asked by fromici on via web

• Math
You have not provided an equation but a mathematical expression as 54x^4+2x. To factorize this: 54x^4 + 2x separate the common factors which are 2 and x => 2x*27*x^3 + 2x => 2x( 27x^3 + 1)...

Asked by animallover on via web

• Math
We need to prove that: 1/(1+sinx) = sec^2 x - tanx*secx We will start from the right side an prove the right side. ==> sec^2 (x) - tanx*secx. We know that sec(x) = 1/cos(x) and tanx = sinx/cosx...

Asked by islnds on via web

• Math
We need to prove that: sin2A = 2tanA/ (1+tan^2 A) We will start from the right side and prove the left side. We know that tanA = sinA/cosA ==> 2tanA / (1+tan^2 A) = 2(sinA/cosA) / [1+...

Asked by islnds on via web

• Math
We have to prove that: sin 2x/ (1 + cos 2x) = tan x To do this we use the relations : sin 2x = 2 sin x*cos x and cos 2x = (cos x)^2 - (sin x)^2. sin 2x/ (1 + cos 2x) => [2 sin x*cos x] / [1 +...

Asked by islnds on via web

• Math
We need to prove that: cos3A = -3cosA + 4cos^3 A We will start from the left sides and prove the right sides. We know that: cos3A = cos(2A + A) Now we will use the trigonometric identities to...

Asked by islnds on via web

• Math
sin^4 A + 2cos^2 A - cos^4 A = 1 First, we will rearrange terms. ==> sin^4 A - cos^4 A + 2cos^2 A = 1 Now we know that: (a^2 - b^2) = (a-b)(a+b) ==> sin^4 A -cos^4 A = (sin^2 A - cos^2...

Asked by islnds on via web

• Math
The initial velocity ufeet/sec. The bell is at a height of 20 feet above. Whether the contestantwill be able to jump a 20 feet height from the spring board is the question. So the actual equationis...

Asked by ib1995 on via web

• Math
The initial velocity is u feet/sec. The bell is at a height of 20 feet above the platform. Whether the contestant will be able to jump a 20 feet height from the spring board is the question. So the...

Asked by b198125 on via web

• Math
We have the equation ax^2 + 8x + 12 = 0. The roots of a quadratic equation ax^2 + bx + c = 0 are x1 = [-b + sqrt (b^2 – 4ac)]/2a and x2 = [-b - sqrt (b^2 – 4ac)]/2a. Here one of the roots is...

Asked by xetaalpha on via web

• Math
I think that many math topics have meaning and relevancy and are dependent on the path one takes in terms of finding real world application. For example, sports is largely dependent on sports....

Asked by julianayun on via web

• Math
We have to solve 13^x - 20 = 13^ (3 - x) 13^x - 20 = 13^ (3 - x) => 13^x - 20 = 13^3/ 13^x let 13^x = y => y - 20 = 13^3 / y => y^2 - 20 y - 13^3 = 0 y1 = [20 + sqrt (20^2 + 4*13^3)]/ 2 =...

Asked by fakeyelid on via web

• Math
We have the equation 2/arc tanx - arc tanx = 1 to solve. let y = arc tan x. 2/arc tanx - arc tanx = 1 => 2/y - y = 1 mutiply all the terms with y => 2 - y^2 = y move the terms to one side...

Asked by leeaeel on via web

• Math
We have to find the first derivative of [cos ( x^3 + 13)]^3. Here we use the chain rule to arrive at the solution. ([cos ( x^3 + 13)]^3 )' => 3* [cos ( x^3 + 13)]^2 * [-sin ( x^3 + 13)] * 3x^2...

Asked by sixpenpencil on via web

• Math
Given the derivative of the function s(t) , we have to find s(t). For this we integrate the derivative of the function. s(t) = Int [ s'(t)] => s(t) = Int [ 36*t^5 + 4*t^3] => s(t) = Int [...

Asked by sirserie on via web

• Math
We have to find the absolute value of the vector z = u + v if u = i - j and v = 2i + 4j. z = u + v => z = i - j + 2i + 4j add the terms with i and those with j => z = 3i + 3j The absolute...

Asked by nena1993 on via web

• Math
The required quadratic equation has roots 1 + i and 1 - i. => [x - (1 + i)]*[x - (1 - i)] = 0 => [x - 1 - i][x - 1 + i] = 0 => x^2 - x + xi - x + 1 - i - xi + i + 1 =0 cancel the common...

Asked by realcomplexnr on via web

• Math
We have to find x given that 8^(4x-6)-1/64=0 8^(4x-6) - 1/64 = 0 => 8^(4x-6) = 1/64 => 8^(4x-6) = 8^-2 as the base is the same on both the sides we can equate the exponent. => 4x - 6 = -2...

Asked by deuxtoi on via web

• Math
We have to find the indefinite integral of f(x)=x^4(x^5+5)^5. Int [f(x) dx] = Int [ x^4(x^5+5)^5 dx] let t = x^5 + 5 => dt/dx = 5x^4 => x^4 dx = dt /5 Int [ x^4(x^5+5)^5 dx] => Int [ (1/5)...

Asked by cartoffried on via web

• Math
We'll apply the rule of multiplying 2 complex number, put in polar form: [cos (a1) + i*sin (a1)]*[cos (a2) + i*sin (a2)] = [cos (a1+a2) + i*sin (a1+a2)] We'll also apply Moivre's rule: [cos (a1) +...

Asked by undoitu on via web

• Math
We have two vertexes of the triangle as A(0,4) and B(3,0). Let the third vertex be C(m, n). As C lies on x + y = 0, m + n = 0 => m = -n The line joining AB has the equation: y - 0 = [( 4 - 0)/ (...

Asked by jeuxdesfou on via web

• Math
The roots of a quadratic equation ax^2 + bx + c = 0 are given by x1 = [-b + sqrt (b^2 – 4ac)]/2a and x2 = [-b - sqrt (b^2 – 4ac)]/2a. If the two roots are to be equal, sqrt (b^2 – 4ac) should...

Asked by alicesmith on via web