Answer:
C
Step-by-step explanation:
An approximation of an integral is given by:

First, find Δx. Our a = 2 and b = 8:

The left endpoint is modeled with:

And the right endpoint is modeled with:

Since we are using a Left Riemann Sum, we will use the first equation.
Our function is:

Therefore:

By substitution:

Putting it all together:

Thus, our answer is C.
*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.
Answer:
x-intercept is (13/3, 0)
y-intercept is (0,-13)
Step-by-step explanation:
change y+1 = 3(x-4) into slope-intercept form:
y+1 = 3x-12
y = 3x-13
y-intercept is (0,-13)
to get x-intercept, plug zero in for 'y' and solve for 'x':
0 = 3x-13
13 = 3x
13/3 = x
x-intercept is (13/3, 0)
You can do 5+5+10, 6+6+8, 9+9+2, 4+4+12, 3+3+14, 2+2+16, 1+1+18. I believe these are all of them, so there are 7 ways.
If you have paid back 150 a month you multiply by 10 then you subtract $6900, your remaining balance is $5,400. Good luck with your equation.
Answer:
Note that 48 = 16(3)
16 + 48 = 16 + 16(3) = 16(1 + 3) = 16(4) = 64
Step-by-step explanation: