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Q:
Determine \( \int y d x \) if: \( 2.1 \quad y=\left(x^{2}-2 x+1\right) e^{2 x} \)
Q:
Hallar la ecuación de la recta tangente \( y \) la recta normal a la curva en el punto dado. \( \begin{array}{ll}\text { 1. } y=\sqrt[3]{1-9 x}, P(1,-2) & 2 . y=5 x^{4}+3 x-2 ; P(-2,72) \\ \text { 3. } y=2 x^{5}-x-7 ; P(-1,-8) & \text { 4. } y=4 x^{3}-5 x+2 ; P(2,24) \\ \text { i. } y=-3 x^{3}+11 x-3 ; P(1,5) & \text { 6. Ln }(x+y)+x^{2} y=e^{x-3}-x-y^{2}-12 ; P(3,-2) \\ \text { tallar máximos, minimos, puntos de inflexión y grafique las siguientes funciones. }\end{array} \)
Q:
Decide whether the sentence is correct or incorrect as written.Ellos vivió en el sótano.correctincorrect
Q:
2. A farmer has a piece of land measuring 840 m by 396 m . He divides it into square plot equal size. Find the maximum area of one plot.
Q:
Seorang pengusaha memiliki modal sebesar Rp420.000.000,00 dan membaginya dalam tiga bentuk investasi, yaitu tabungan dengan suku bunga \( 5 \% \), deposito berjangka dengan suku bunga \( 7 \% \), dan surat obligasi dengan pembayaran \( 9 \% \). Adapu total pendapatan tahunan dari ketiga investasi sebesar Rp26.000.000,00 dan pendapatan dari investasi tabung lebih Rp2.000.000,00 dari total pendapatan dua investasi lainnya. Tentukan besar modal untuk setiap investasi.
Q:
A gear with a \( 20^{\circ} \) pressure angle and a pitch circle diameter of 200 mm is situated between two bearings. The gear is driven by a 120 kW power source and rotates at \( 150 \mathrm{r} / \mathrm{min} \). Calculate the following: 6.2.1 The torque transmitted 5.2.2 The tangential force on the gear .2.3 The normal force on the gear 2.4 The radial force on the gear
Q:
\begin{tabular}{l|l|}\hline Eoorbeeld 36 \\ \hline Van dorp A tot dorp B ry ' n motor teen ' n \\ te & \( \begin{array}{l}\text { Vemiddelde snelheid van } 60 \mathrm{~km} / \mathrm{h} \text {. Van dorp B } \\ \text { terug na dorp A ry die motor teen ' } \mathrm{n} \text { gemiddelde } \\ \text { snelheid van } 100 \mathrm{~km} / \mathrm{h} \text {. Wat was die gemiddelde } \\ \text { snelheid vir die hele reis? }\end{array} \)\end{tabular}
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b) \( 14^{1} \times 14^{0}= \)
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3. Gambarlah grafik fungsi pecah \( f(x)=\frac{2 x+3}{x-2}, x \neq 2 \)
Q:
i) \( y=x^{3} \cot x \)
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