Regardless of the sign of
, we have
(never negative). But multiplying by -1 makes it negative.
On the other hand,
which can never be negative for real
.
Answer:
y = 4x + 4
Step-by-step explanation:
Two points you can see on the graph are (0,4) and (-2,-4)
Now, to find the slope, use delta y/ delta x
(-4-4)/(-2-0)
(-8)/(-2) = 4
Slope is 4.
y = 4x + b
Now, to find b, we need the y-intercept, which is the point where x is 0 and the graph crosses the y-axis.
This value is 4. So, the y-intercept is 4
Substitute into your equation
y = 4x + 4
<span> The surface area of a right prism can be calculated using the following formula: SA 5 2B 1 hP, where B is the area of the base, h is the height of the prism, and P is the perimeter of the base. The lateral area of a figure is the area of the non-base faces only.</span>
<span>since sin and cos = each other at pi/4; take your integrals from 0 to pi/4
</span><span>[S] cos(t) dt - [S] sin(t) dt ;[0,pi/4]
</span>
<span>to revolve it around the x axis;
we do a sum of areas
[S] 2pi [f(x)]^2 dx
</span>
<span>take the cos first and subtract out the sin next; like cutting a hole out of a donuts.
</span><span>pi [S] cos(x)^2 dx - [S] sin(x)^2 dx ; [0,pi/4]
</span>
<span>cos(2t) = 2cos^2 - 1
cos^2 = (1+cos(2t))/2
</span>
<span>1/sqrt(2) - (-1/sqrt(2) +1)
1/sqrt(2) + 1/sqrt(2) -1
(2sqrt(2) - sqrt(2))/sqrt(2) = sqrt(2)/sqrt(2) = 1</span>
