Tema
Q:
(d) Quando fazemos determinaçōes experimentais de uma grandeza \( X \), representamos seu valor numérico final
acompanhado do erro \( \Delta X \) associado à medida, na forma \( X \pm \Delta X \). Para calcularmos o valor de uma funçāo
\( f(X \pm \Delta X) \), utilizamos a regra
\[ f(X \pm \Delta X)=f(X) \pm f^{\prime}(X) \Delta X \]
Obtenha as fórmulas referentes a (i) \( \sin (X \pm \Delta X) \) e (ii) \( \cos (X \pm \Delta X) \)
Q:
Consider the number pattern below:
\[ \frac{-3}{5} ; \frac{-6}{9} ; \frac{-9}{13} ; \ldots . \ldots \]
Determine the next two terms of the number pattern.
Determine the \( n^{\text {th }} \) term of the number pattern.
Q:
10. The perimeter of a rectangular plot of land is 72 meters and its area is \( 308 \mathrm{~m}^{2} \). What are the
dimensions of the property?
Q:
QUESTION 3
3.1 Given the number pattern \( 2 ; y ; 8 ; \ldots \)
Determine the value of \( y \) if:
3.1.1 The number pattern is linear.
3.1.2 The number pattern is quadratic and \( T_{4}=2+5 y \).
3.2 In a linear number pattern, the \( 19^{\text {th }} \) term is 40 and the \( 7^{\text {th }} \) term is 16 .
Thus, determine the first two terms.
3.3 The general term of a quadratic number pattern is \( T_{n}=n^{2}+2 n-15 \).
Determine which term has a value of 20 .
Q:
Proporre un esempio di funzione \( g(x) \) tale che
\[ \lim _{x \rightarrow+\infty} \frac{g(x)}{3 \log ^{2} x+1}=+\infty \]
Q:
1)
\( f(x)=\sqrt{\frac{2}{\sqrt[x]{e 6 x+1}}} \)
Q:
\( \lim _ { n \rightarrow + \infty } \frac { n ^ { 5 } + \sin n } { 3 ( \arctan n ) n ^ { 5 } } \)
Q:
s] Using calculus and showing all working, graph the function
\[ f(x)=\frac{x+2}{x^{2}-1} \]
Q:
asymptotes of \( f \).
Q:
Calculate \( \left(2.9 \times 10^{6}\right)-\left(7.5 \times 10^{5}\right) \)
Give your answer in standard form
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