Advanced Placement (AP), 22.08.2019 16:20 salihanegawo

What have scientists concluded about the levels of plant and animal biodiversity on easter island

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The scientists have concluded that the Easter Island had very high level of biodiversity prior to the arrival of humans on it. The island offered mild climate, deep and fertile soil, and that resulted in the formation of sub-tropical rainforest, with enormous amount of species living in it despite its small size. This statement has been proved by the examination of pollen, bones, and other fossilized remains on the island. Unfortunately, the human inhabitants destroyed almost all living things on the island, resulting in the barren landscape that we see nowadays, with only short grasses, the occasional shrub, and several species of insects occupying the island.

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Timbre (/ˈtæmbər/ tam-bər, also known as tone color or tone quality from psychoacoustics) is the perceived sound quality of a musical note, sound or tone. timbre distinguishes different types of sound production, such as choir voices and musical instruments, such as string instruments, wind instruments, and percussion instruments. it also enables listeners to distinguish different instruments in the same category (e.g. an oboe and a clarinet).the physical characteristics of sound that determine the perception of timbre include spectrum and envelope. singers and instrumental musicians can change the timbre of the music they are singing/playing by using different singing or playing techniques. for example, a violinist can use different bowing styles or play on different parts of the string to obtain different timbres (e.g., playing sul tasto produces a light, airy timbre, whereas playing sul ponticelloproduces a harsh, even and aggressive tone). on electric guitar and electric piano, performers can change the timbre using effects units and graphic equalizers.in simple terms, timbre is what makes a particular musical sound have a different sound from another, even when they have the same pitch and loudness. for instance, it is the difference in sound between a guitar and a piano playing the same note at the same volume. both instruments can sound equally tuned in relation to each other as they play the same note, and while playing at the same amplitude level each instrument will still sound distinctively with its own unique tone color. experienced musicians are able to distinguish between different instruments of the same type based on their varied timbres, even if those instruments are playing notes at the same pitch and loudness.

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The answer is (d) 7/2======we have $f(x) = \begin{cases} x & \text{ for } x \le 0 \\ x + 1 & \text{ for } x \ \textgreater \ 0 \end{cases}$ we also have an integral $\displaystyle\int_{-2}^1 x\, f(x)\; dx$ notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum: $\displaystyle\int_{-2}^1 x\, f(x)\; dx = \displaystyle\int_{-2}^0 x\, f(x)\; dx + \displaystyle\int_{0}^1 x\, f(x)\; dx$ notice that for the piecewise function f, the function has the equationf(x) = x when x ≤ 0. so for the integral $\int_{-2}^0 x\, f(x)\; dx$ , f(x) = x so it changes into $\begin{aligned} \int_{-2}^0 x\, f(x)\; dx & = \int_{-2}^0 x \cdot x\; dx \\ & = \int_{-2}^0 x^2\; dx \\ & = \left[\frac{x^3}{3}\right]_{-2}^0 & & \text{\footnotesize antidifferentiate} \\ & = 0 - \frac{(-2)^3}{3} \\ & = \frac{8}{3} \end{aligned}$ for the piecewise function f, the function has the equationf(x) = x+1 when x > 0. for the integral $\int_{0}^1 x\, f(x)\; dx$ , we have $\begin{aligned} \int_{0}^1 x\, f(x)\; dx & = \int_{0}^1 x(x+1)\; dx \\ & = \int_{0}^1 (x^2+x)\; dx \\ & = \left[ \frac{x^3}{3} + \frac{x^2}{2}\right]_0^1 \\ & = \frac{1}{3} + \frac{1}{2} - 0 = \frac{5}{6} \end{aligned}$ therefore, back to our splitted integral: $\begin{aligned} \displaystyle\int_{-2}^1 x\, f(x)\; dx & = \displaystyle\int_{-2}^0 x\, f(x)\; dx + \displaystyle\int_{0}^1 x\, f(x)\; dx \\ & = \frac{8}{3} + \frac{5}{6} \\ & = \frac{7}{2} \end{aligned}$
Can anyone me on this ap calc question? ?

Can anyone me on this ap calc question? ?

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