Answer:Primary succession occurs in essentially lifeless areas—regions in which the soil is incapable of sustaining life as a result of such factors as lava flows, newly formed sand dunes, or rocks left from a retreating glacier. ... These grasses further modify the soil, which is then colonized by other types of plants. Places where primary succession occurs include newly exposed rock areas, sand dunes, and lava flows. Simple species that can tolerate the often- harsh environment become established first. These organisms help enrich the soil, allowing other species to become established.
Explanation:
Answer:
B. across line centerline and into oncoming traffic.
Explanation:
If a car on the "inside" lane of a curve tries to navigate with too much speed, centrifugal force will pull it away from the center and, potentially, into the path of oncoming traffic.
Explanation:
1/2 light years. because light travels at 386, 000 ,000 so, half of it will be the distance
Border separating colonists from Native American lands.
Heavy taxes, placed on Colonists so they were never paid what they were owed for helping the British.
Answer: A.) 8
Explanation:
Use u-substitution.
(1) Let u=x^3
By the power rule, du/dx=3x^2
Multiplying by dx and dividing by three, we have du/3=x^2dx
To find the new lower bound of integration, plug the old bound, -3, for x in equation (1). We get u=(-3)^3= -27
Similarly, when the upper bound 3 is plugged in, u=27
Now, replacing f(x^3) with f(u) and x^2dx with du/3:
![\int\limits^{3}_{-3} {x^2f(x^3)} \, dx= \int\limits^{27}_{-27} \frac{f(u)}3 \, du \\=\frac{1}3\left[\int\limits^{0}_{-27} {f(u)} \, du+\int\limits^{27}_{0} {f(u)} \, du \right] (2)\\Observe:\int\limits^{0}_{-27} {f(u)} \, du=\int\limits^{27}_{0} {f(u)} du\; \text{ because f(x) is an even function}\\\text{Substitute the left hand side integral for the RHS in equation (2):}\\=\frac{1}3\left[2\int\limits^{27}_0 {f(u)} du\right]\\=\frac{1}3 (2)(12)=8](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B3%7D_%7B-3%7D%20%7Bx%5E2f%28x%5E3%29%7D%20%5C%2C%20dx%3D%20%5Cint%5Climits%5E%7B27%7D_%7B-27%7D%20%5Cfrac%7Bf%28u%29%7D3%20%5C%2C%20du%20%5C%5C%3D%5Cfrac%7B1%7D3%5Cleft%5B%5Cint%5Climits%5E%7B0%7D_%7B-27%7D%20%7Bf%28u%29%7D%20%5C%2C%20du%2B%5Cint%5Climits%5E%7B27%7D_%7B0%7D%20%7Bf%28u%29%7D%20%5C%2C%20du%20%5Cright%5D%20%282%29%5C%5CObserve%3A%5Cint%5Climits%5E%7B0%7D_%7B-27%7D%20%7Bf%28u%29%7D%20%5C%2C%20du%3D%5Cint%5Climits%5E%7B27%7D_%7B0%7D%20%7Bf%28u%29%7D%20du%5C%3B%20%5Ctext%7B%20because%20f%28x%29%20is%20an%20even%20function%7D%5C%5C%5Ctext%7BSubstitute%20the%20left%20hand%20side%20integral%20for%20the%20RHS%20in%20equation%20%282%29%3A%7D%5C%5C%3D%5Cfrac%7B1%7D3%5Cleft%5B2%5Cint%5Climits%5E%7B27%7D_0%20%7Bf%28u%29%7D%20du%5Cright%5D%5C%5C%3D%5Cfrac%7B1%7D3%20%282%29%2812%29%3D8)
since the value of the first integral of the question = 12, which is given. Although the variable is different than the given (u instead of x), it's still the same integral
