Answer:
Step-by-step explanation:
Sorry it took so long
Answer:
Find the amplitude of a sine or cosine function. Find the period ... Question: What effect will multiplying a trigonometric function by a ... same as the graph of y = sin x and y = cos x, respectively, stretched ... With both graphs to look at, it is easier to see what ... the graph. Question: What happens if we allow the input variable, x. A graph of a cosine curve is shown with attributes labeled. ... Use trigonometric (sine, cosine) functions to model and solve problems; justify results. a) Solve ... Amplitude - How far above or below the axis of the wave a sine or cosine function goes ... Note that the amplitude is always positive, even if the coefficient is negative.
Step-by-step explanation:
300,022,000.
Don't quote me on that, I'm really not all that good at math.
Notice that
(1 + <em>x</em>)(1 + <em>y</em>) = 1 + <em>x</em> + <em>y</em> + <em>x y</em>
So we can add 1 to both sides of both equations, and we use the property above to get
<em>a</em> + <em>b</em> + <em>a b</em> = 76 ==> (1 + <em>a</em>)(1 + <em>b</em>) = 77
and
<em>c</em> + <em>d</em> + <em>c d</em> = 54 ==> (1 + <em>c</em>)(1 + <em>d</em>) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
<em>a</em> + 1 = 7 ==> <em>a</em> = 6
<em>b</em> + 1 = 11 ==> <em>b</em> = 10
(or the other way around, since the given relations are symmetric)
and
<em>c</em> + 1 = 5 ==> <em>c</em> = 4
<em>d</em> + 1 = 11 ==> <em>d</em> = 10
Now substitute these values into the desired quantity:
(<em>a</em> + <em>b</em> + <em>c</em> + <em>d</em>) <em>a</em> <em>b</em> <em>c</em> <em>d</em> = 72,000
