Volume of a tetrahedron with edge s

According to question





Answer:

Step-by-step explanation:
Given
Points (−5,−2) and (−3,0)
Required
Find a linear function that passes through the given points
The question implies that we solve for the equation for the line;
First, the slope of the line must be calculated;
This is calculated as thus:

Where 
So,
becomes




The equation of the line can then be calculated using any of the given points;
Using


We have


Multiply both sides by x + 5


Subtract 2 from both sides



Replace y with f(x)

Hence, from the list of given options; Option B is correct
-5n - 8(1+7n) = -8
-5n - 8 - 56n = -8
-61n = 0
n = 0
Answer:

Step-by-step explanation:
[Most of the work here comes from manipulating the trig to make the term (integrand) integrable.]
Recall that we can express the squared trig functions in terms of cos(2x). That is,

And so inverting these,
.
Multiply them together to obtain an equivalent expression for sin^2(x)cos^2(x) in terms of cos(2x).

Notice we have cos^2(2x) in the integrand now. We've made it worse! Let's try plugging back in to the first identity for cos^2(2x).

So then,

This is now integrable (phew),
