Find a rational and irrational number between 9.5 and 9.7.

1 answer:

7 0

So we know that it must be between 9.5 9.7.. So it has to be 9.56763865854637984... (rounded 9.57) it is irrational because it has no pattern.

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Leno4ka [110]

Answer:

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Step-by-step explanation:

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subtract 2/5 form both sides

3/5x=x+1/10

subtract x form both sides

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Answer:

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Ex 4.8<br> 14) integrate 3^(2x-1)

sesenic [268]

Take the integral:

$\large\begin{array}{l} \mathsf{\displaystyle\int\!3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\int\!\frac{1}{2}\cdot 2\cdot 3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^{2x-1}\cdot 2\,dx\qquad(i)} \end{array}$

$\large\begin{array}{l} \textsf{Substitute}\\\\ \mathsf{2x-1=u\quad\Rightarrow\quad 2\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^u\,du}\\\\ =\mathsf{\dfrac{1}{2}\cdot \dfrac{1}{\ell n\,3}\,3^u+C}\\\\ =\mathsf{\dfrac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}$

$\large\begin{array}{l} \boxed{\begin{array}{c}\mathsf{\displaystyle\int\!3^{2x-1}\,dx=\frac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}}\qquad\checkmark \end{array}$

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Tags: <em>integrate indefinite integral substitution exponential base logarithm log ln composite integral calculus

</em>

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3 years ago

Measure of arc CF

Lemur [1.5K]

Answer:

Step-by-step explanation:

The measure of an angle formed by a Secant and a tangent drawn from the outside point of a circle is half the difference of the intercepted arcs.

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