# Homework Help

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• Math
To solve for t means to find the angle t from the given identity. We'll transform the given identity into a homogenous equation by substituting 1 by (sin t)^2 + (cos t)^2 = 1 and moving all terms...

Asked by mabottle on via web

• Math
First, we'll factorize by x the denominator: 1/(x^2+x) = 1/x(x+1) We notice that the denominator of the right side ratio is the least common denominator of 2 irreducible ratios. We'll suppose that...

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• Math
To extreme of a function, whose expression is a quadratic, is the vertex of the parable f(x) = y. We know that the coordinates of the parabola vertex are: V(-b/2a;-delta/4a), where a,b,c are the...

Asked by lipiciuc on via web

• Math
We'll start by explaining the modulus |x+4|. Case 1: |x+4| = x + 4 for x+4>=0 We'll solve the inequality x+4>=0: x+4>=0 x >= -4 The interval of admissible values for x is:...

Asked by bibiloi on via web

• Math
We'll note the point that has like coordinates as M(m,m). Since the point is located on the line y = (x - 1)/2, it's coordinates verify the expression of the line. We'll put y = f(x) and we'll...

Asked by zarvamea on via web

• Math
Since the given point is the intercepting point of the graphs of the given functions, it's coordinates verify the expressions of the functions. (1, - 2) belongs to f(x)'s graph if and only if; f(1)...

Asked by fairydrink on via web

• Math
We'll choose the function to be integrated: f(x) = (sin x)^n We'll integrate the function: Int (sin x)^n dx We'll re-write the given function as a product of (sin x)*(sin x)^n-1. We'll write (sin...

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• Math
The given exponential equation requires substitution technique to compute it's roots. Now, we notice that 25 = 5^2 We'll re-write the equation as: 5^4x - 2*5^2x + 1 = 0 It is a bi-quadratic...

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• Math
To determine the antiderivative, we'll have to compute the indefinite integral of the function f(x) = (2x+5)*e^(x^2+5x) Int (2x+5)*e^(x^2+5x) dx We notice that the exponent of e is a function whose...

Asked by afrokaa on via web

• Math
Since the two number differ by d, we assume the two numbers to be x and x+d . The sum of their reciprocals = 7, given. Therefore 1/x +1/x+3 = 7/10. Therefore multiply by 10x(x+3) both sides of...

Asked by captainlok2 on via web

• Math
The critical number of the function is the value of x that cancels the first derivative of the function. f'(x) = (5x^2 + 7x)' f'(x) = 5*2x^1 + 7 f'(x) = 10x + 7 Now, we'll calculate the roots of...

Asked by tgl223 on via web

• Math
I think the intended question was: How to balance the equation Al(s) + CuSO4 (aq) --> Al2(SO4)3 (aq) + Cu(s) This can be done by ensuring that the total number of atoms of each element is the...

Asked by swaagga on via web

• Math
log (x^2 + 2) = log (x^2 - 3x + 5) We know that if log a = log b Then a = b Then we know that: x^2 + 2 = x^2 - 3x + 5 Reduce similar terms (x^2): ==> 2 = -3x + 5 Now solve the equation: Move...

Asked by muhimuhhi on via web

• Math
l 4x-2 l < l x-2 l We have 4 cases: case(1): 4x -2 < x-2 ==> 3x < 0 ==> x < 0 ==> x= ( -inf , 0) case(2): -(4x-2) < x-2 -4x + 2 < x-2 -5x < -4 ==> x < 4/5...

Asked by tuleentoto on via web

• Math
f(x) = 3+ 3x - 3x^2 To find extreme values, first we need to determine the first derivative. f'(x) = 3 - 6x Now we need to determine the critical values which they are the derivative's zeros....

Asked by talaltalool on via web

• Math
f(x) = x^2 + 5x - 3 Let F(x) = integral f(x) Then the area between f , x=1 and x= 2 is: A = F(2) - F(1) Then , let us determine F(x) first. F(x) = intg f(x) = intg (x^2 + 5x -3) dx...

Asked by munamoon on via web

• Math
x+ 3y = 3...............(1) 2x - y = -2..............(2) We have a system with 2 equations and 2 variable, then we will use the substitution method to solve: First let us rewrite equation no. (2)....

Asked by seedrasoso on via web

• Math
We know that the deck of regular play card has 52 cards. These cards are: 1, 2, 3, 4, 5, 6, 7, 8,9, 10, J, Q, and K We have 4 sets of each. Now let us determine the odd numbers in the deck:...

Asked by samerrima on via web

• Math
f(x) = sinx* lnx To find the first derivative, we will use the product rule: Let f(x) = u*v such that: u= sinx ==> u' = cosx v= lnx ==> v' = 1/x Now we know that: if f(x) = u*v...

• Math
f(x) = x^2 + 4x - 12 I assume that you need to solve for x values if f(x) = 0 ==> x^2 + 4x - 12 = 0 Now we have two methods to solve: 1. Factor the equations: ==> ( x + 6) (x-2) = 0 ==>...

Asked by dododima on via web

• Math
x^2 + 5x > 14 To solve the inequality, first we will have to move 14 to the left side of the inequality: ==> x^2+ 5x - 14 > 0 Now we can factor the left side: ==> (x+ 7) (x-2 ) >0...

Asked by damdoomdima on via web

• Math
To find the amount that has to be paid every year, we use the concept of present value of money. Let me explain what present value of money is. An amount A if invested for a period of n years at an...

Asked by torrip996 on via web

• Math
If the gcd of 414 and 33 is h, then the gcd of 414 and -33 is also h. So it is sufficient if we find the gcd h between 414 and 33 and then gcd of 414 and -33 is also h only. 414 = 33*12 + 18....

Asked by justbecaz44 on via web

• Math
The transportation cost of 1000 gallons per pipeline mile is \$ 0.1. It is required to find the cost of transportation of 4million gallons for a distance of 120 miles. The procedure is to find how...

Asked by chisko12 on via web

• Math
We'll can also solve the system of simultaneous equations using the substitution method (instead of elimination method). For this reason, we'll extract x from the second equation: x- y=1 We'll add...

Asked by jessie01 on via web

• Math
8767 = 34*252 + 199 252 = 1*199 + 53 199 = 3*53 + 40 53 = 1*40 + 13 40 = 3*13 +1. 13 * 1*13. Therefore 1 = 40 -3*13. 1 = 1*40-3(53-40) = 4*40- 3*53. 1 = 4*(199-3*53)-3*53 = 4*199-15*53 1= 4*199...

Asked by justbecaz44 on via web

• Math
1) To find the maximum or miminimum for 3x^2 in 0 < x <2. Solution: f(x) = 3x^2. f'(x) =2x f'(x) is > 0 for all x for which 0 < x< 2. So f'(x) is a, continuous increasing function....

Asked by tgl223 on via web

• Math
a) The point estimator of the poulation mean M is the sample mean m itself.Therefore, \$542.50 is the estimated value of the population mean by point estimation. b) If the sample of size n has a...

Asked by j1195059 on via web

• Math
1) The distance travelled d+d = 2d The time taken for forward jpurney = d/20 The time taken for the return journey = d/x. So the total time taken for up and down = d/20+d/x. Therefore the average...

Asked by superficial on via web

• Math
5 l 3x-2 l = 10 First let us divide by 5: ==> 5 l 3x-2 l /5 = 10/5 ==> l 3x -2 l = 2 Now we have two cases: case (1): 3x-2 = 2 Add 2 to both sides: ==> 3x = 4 Now divide by 3: ==> x=...

Asked by jude69 on via web

• Math
Let the number be x and y; Given that the sum is 36 ==> x + y= 36 We will write as function of y: ==> y= 36-x .............(1) Now we need to find the numbers such that their product is a...

Asked by yasmin130 on via web

• Math
We have the point (0,2) and (2,-3) passes through a line. Then we will use the slope form to determine the line. The standard for is: y-ya = m (x-x1) such thatL (x1,y1) is any point passes through...

Asked by clara2 on via web

• Math
f(x) = 3x^2 + 5x -3 To find the minimum value , first we identify the sign of x^2, since the sign if positive, that means the function has a minimum value. First we will calculte the critical...

Asked by kokibrazil on via web

• Math
ylnx - xy' = 0 First we will rewrite the equations. ylnx = xy' ==> ylnx = x *dy/dx In solving differential equation, out first priority is to isolate x an y terms on different sides. Then we...

Asked by nano75 on via web

• Math
y' = sqrtx * y To solve differential equation, first we will rewrite the equation: we know that y' = dy/dx ==> dy / dx = sqrtx * y Now we will group x terms on one side and y terms on the other...

Asked by feres on via web

• Math
f(x) = x*sinx We need to determine the indefinite integral of f(x) we note that the function is aproduct of two terms. ==> intg f(x) = intg x*sinx dx Then we will apply the rule: Let f(x) = u*dv...

Asked by lalooo on via web

• Math
y= x^(e^x) To differentiate, first we will apply the natural logarithm to both sides: ==> lny = ln [x^(e^x)] We know that: ln a^b = b*ln a ==> lny = (e^x) * ln x Now we will differentiate...

Asked by ryanomar on via web

• Math
f(x) = cosx / (1+ sinx) To differentiate we will will assume that: u= cosx ==> we know that du = -sinx v= 1+ sinx ==> v' = cosc Then, f(x) = u/v We know that , f'(x) = (u'v-...

Asked by totoo on via web

• Math
y= x^3 * tanx We note that we had a product of two functions. Then we will use the product rule to solve: Let y= u*v such that: u= x^3 ==> u' = 3x^2 v= tanx ==> v' = sec^2 x Then...

• Math
If f(x) is defined and continuous over the interval [a, b], except maybe at a finite number of points, we'll write Int f(x)dx from a to b as: Int f(x)dx (a->b) = Int f(x)dx (a->c) + Int...

Asked by landishigh on via web

• Math
x-2 = 2f(x-1) + 3g(x+1).............(1) -6x + 4=4f(x-1) - 2g(x+1)........(2) ==> -2*(1) + (2) = ==> -2x + 4 = -4f(x-1) + -6g(x+1) ==> -6x + 4 = 4f(x-1) - 2g(x+1) ==> -8x + 8 =...

Asked by realcomplexnr on via web

• Math
y= tan^4 x + tan^2 x First let us simplify; We will factor tan^2 x ==> y= tan^2 x ( tan^2 x + 1) ==> intg y = intg (tan^2 x ( tan^2 +1) ) dx We know that : tanx = sinx/cosx ==> intg y=...

Asked by errgonomix on via web

• Math
z= (3-i)/(3-2i) First we need to rewrite the number by getting rid of the denominator. We will multiply the numerator and denominator with (3+2i) ==> z= (3-i)(3+2i)/(3-2i)(3+2i) Let us calculate...

Asked by deuxtoi on via web

• Math
The line passes through the point (0,2) and the slope m = -3. Let us write the equation in the standard form: y-y1 = m(x-x1) such that: (x1,y1) is any point that passes through the line and m is...

Asked by fryvonne on via web

• Math
Let us calculate : The first year the sold 1200 shirts for \$25 each Then , if they will sell the shirt for 27, then will sell 1150 shirts. Also, if they will sell the shirt for 29, then will...

Asked by funkydude on via web

• Math
We'll write the area of a rectangular shape. A = width*length A = y*x Since only three sides of the rectangular shape must be fenced and he uses 24m of fencing, we'll write the perimeter of the...

• Math
The sum of the two numbers is 72. So we assume x is a number and 72-x is the other number. Their product P(x) = x(72-x). We have to find the number x such that x(72-x) is maximum. We know by...

Asked by jakielegs on via web

• Math

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• Math
We'll write the formula of the combination of n items taken k at a time: C(n,k) = n!/k!(n-k)! To determine the number of sets of 6 that can be formed from 11 objects, we'll apply the combination...

Asked by essesy on via web

• Math
To find angle a , if 2cos^2a +1 = 3cosa. This is a quadratic equation in cosa. So we solve for cosa and then determine angle a. We put cosa = c in the given equation: 2c^2+1 = 3c. We subtract 3c...

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