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Mathematics Questions & Answers

Q:
\( \int _{}^{}\frac{1dx}{4x^{2}+9} d \)
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\( \left\lvert\, \begin{array}{l}2 x y=12 \\ \text { Direct variation } \\ \text { Constant of variation: } k=\square \\ \text { Constant of variation: } k=\square\end{array}\right. \)
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A 7 A regular hexagon and a regular pentagon have a common edge. Work out the value of \( a \).
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1. \( a^{2}-2 a b+b^{2} \)
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ASK YOUR TEACHER \( [ \) PRACTICE ANOTHER \( \frac{4}{1-\sqrt{3}} \) Simplify by rationalizing the denominator. \( \frac{4}{2} \)
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For each equation, determine whether it represents a direct variation, an inverse variation, or neither. Find the constant of variation when one exists and write it in simplest form. \( 8 y=5 x \). Direct variation Constant of variation: \( k=\square \) Neither variation
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b. Para hallar la altura de un globo, se realizaron las mediciones indicadas en la figura. ¿Cuánto dista el slobo del punto \( A \) ? ¿Cuánto del punto \( B \) ? ¿A que altura está el globo?
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What value of \( b>-1 \) maximizes the integral? \( \int_{-1}^{b} x^{2}(4-x) d x \)
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Al reducir la expresión CscaTanaCosa-Csc \( 2 a ~ a ~ u n a ~ s o l a ~ f u n c i o ́ n ~ t r i g o n o m e ́ t r i c a ~ s e ~ o b t i e n e: ~ \) \( 2 \operatorname{sen}^{2} a \) \( -\sec ^{2} a \) \( -\cot ^{2} a \)
Q:
\( 7 x=\frac{14}{y} \) Direct variation Constant of variation: \( k=\square \) Inverse variation Constant of variation: \( k=\square \) Neither
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