Tes Unit I.docx

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TES UNIT I MATEMATIKA FISKA I Pendidikan Fisika – FPIK – Universitas Garut

1.

Nyatakan himpunan penyelesaian dari pertidaksamaan berikut! a) 𝑥 2 + 𝑥 − 12 < 0 b)

2.

2𝑥−3 𝑥+1

>0

Tentukan turunan dari fungsi berikut! a)

3𝑥+5 2𝑥 2 +8

b) 𝑠𝑖𝑛𝑥𝑐𝑜𝑠𝑥 c) √2𝑥 5 − 3𝑥 + 3 d) (𝑥 2 + 17)(𝑥 3 − 3𝑥 + 1) 3.

Sebuah bola menggelinding sepanjang bidang miring sehingga jarak s dari titik awal t adalah s = (4,5 t2 + 2t) kaki. Kapan kecepatan sesaatnya akan sebesar 30 kaki/detik?

4.

Selesaikan Integral berikut! 2𝑥 2 +𝑥

𝑑𝑥

a)



b)

∫ 𝑥𝑡𝑎𝑛−1 𝑥 𝑑𝑥

c)

∫𝜋/6 𝑥𝑐𝑜𝑠𝑒𝑐 2 𝑥 𝑑𝑥

𝑥=1

𝜋/2

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