Take the deritive
y'=-3sinx
find whre it equals 0
it equals 0 at -pi, 0, pi, etc
find whre it changes from negative to positive
at -0.5pi, the derivitive is positive
at 0.5pi, the deritivie is negative
changes from positive to negative at x=0
that means that the max values are at pi and -pi in 2pi intervals
-pi, pi, 3pi, 5pi,etc
the min y value is -3
so the minimum(s) are/is at (2aπ,-3) where 'a' is an integer
<span>0.30x = 15
x = 15/0.3
x = 50</span>
The tensile strength of spider silk is about 1150 MPa, which is 1.15 x 10^9 N/m².
<span>So given that the diameter of the spider silk is 0.15 mm or 1.5 x 10^-4 m. The cross sectional area is approximately: </span>
<span>A = πr² = (3.14)(1.5 x 10^-4 / 2)² = 1.767 x 10^-8 m² </span>
<span>So this means that the amount of force we can apply before the the silk thread is broken is: </span>
<span>F = PA = (1.15 x 10^9)(1.767 x 10^-8) = 20.32 N </span>
<span>F = mg, so m = F/g = (20.32)/(9.81) = 2.07 kg!!! </span>
Answer:
18 and 10.
Step-by-step explanation:
yz - x
= 8*3 - 6
= 24 - 6
= 18
2(x + z) - y
= 2(6 + 3) - 8
= 2 * 9 - 8
= 18 - 8
= 10
That's clearly an exponential shape, like the virus graphs.
f(0)=-3 from the graph. Since e⁰=1 this must be the last choice,
Answer: y = eˣ - 4
