0
Add your answer:
Earn +20 pts
Factorise x2 minus y2 plus 9x minus 9y?
x2 - y2 + 9x - 9y =(x2 + 9x) - (y2 + 9y) =x(x + 9) - y(y + 9)================================Another way to go after it:x2 - y2 + 9x - 9y =(x2 - y2) + 9x - 9y =(x + y) (x - y) + 9 (x - y) =(x + y + 9) (x - y)
How do you show that 2 sin squared x minus 1 divided by sin x minus cos x equals sin x plus cos x?
(2 sin^2 x - 1)/(sin x - cos x) = sin x + cos x (sin^2 x + sin^2 x - 1)/(sin x - cos x) =? sin x + cos x [sin^2 x - (1 - sin^2 x)]/(sin x - cos x) =? sin x + cos x (sin^2 x - cos^2 x)/(sin x - cos x) =? sin x + cos x [(sin x - cos x)(sin x + cos x)]/(sin x - cos x) =? sin x + cos x sin x + cos x = sin x + cos x
How do you factor x6 - y6?
(x - y)(x + y)(x2 - xy + y2)(x2 + xy + y2)
What is sin x times sin x?
We write sin x * sin x = sin2 x
What is the result of isolating y2 (x - 2)2 y2 64?
(x-2)^2+y^2=64
Determine the amplitude of y equals -2 sin x?
The amplitude of the wave [ y = -2 sin(x) ] is 2.
Determine the amplitude of y equals -4 sin x?
The amplitude is 4 .
What is the amplitude of y equals sin x?
The amplitude is 1.
Find the amplitude and period of the functions and sketch their graphs y equals sin -x?
y = sin(-x)Amplitude = 1Period = 2 pi
How do you determine that the amplitude of y equals -2 sin x?
The amplitude of a function is half the distance between the maximum and minimum values. This is the absolute value of the number in front of the trig function. for example, y=Asin(x) or y= Acos(x) the absolute value of A is the amplitude. Therefore, the amplitude of y=-2sinx is 2
What is the formula for calculating amplitude?
if you are studying a (simple) wave described by: x = A sin(kt) then A = amplitude
Determine the amplitude of y equals cos x?
The amplitude is ' 1 ' .
What is the amplitude for y equals 5 sin x?
5
What is the amplitude for y equals sin x divided by 2?
Assuming the question refers to [sin(x)]/2 rather than sin(x/2) the answer is 1.
What is y to the 8th power as an product in four different was with only positive exponents?
y6 x y2 y4 x y4 y2 x y2 x y4 y2 x y2 x y2 x y2
Can you make a meaningful sentence using the word amplitude?
1. The amplitude of the graph y=sin(x) is equal to 1. 2. The amplitude of the situation was greater than he anticipated.
Y'' plus y equals cotx diff eq?
In order to solve this inhomogeneous differential equation you need to start by solving the homogeneous case first (aka when the right hand side is just 0). The characteristic equation for this differential equation is r²+1=0 or r²=-1 which means that r must be equal to ±i. Therefore, the general solution to this homogeneous problem Is y=c1*sin(x)+c2*cos(x) where c1 and c2 are constants determined by the initial conditions. In order to solve the inhomogeneous problem we need to first find the Wronskian of our two solutions. _________|y1(x) y2(x) | __| sin(x) cos(x) | W(y1, y2)= |y1'(x) y2'(x) | = | cos(x) -sin(x) | = -sin(x)²-cos(x)²= -1 Next, we calculate the particular solution Y(x)=-sin(x)* Integral(-1*cos(x)*cot(x)) + cos(x)*Integral(-1*sin(x)*cot(x)) =sin(x)*Integral(cos²(x)/sin(x)) - cos*Integral(cos(x)) =sin(x)*(ln(tan(x/2)) + cos(x)) -cos(x)*sin(x)=sin(x)*ln(tan(x/2)) Finally, to answer the entire equation, we add the particular solution to the homogeneous solution to get y(x)=sin(x)*ln(tan(x/2)) + c1*sin(x)+c2*cos(x)
