3. COMPRENDE siguientes funciones en un plano cartesiano. \( \begin{array}{ll}\text { a. } 2^{x} & \text { f. } \log _{2} x+1 \\ \text { b. } 2^{x}+1 & \text { g. } \log _{2}(x+1) \\ \text { c. } 2^{x+1} & \text { h. }-\log _{2} x \\ \text { d. } 2^{-x} & \text { i. } \log _{2} \frac{1}{x} \\ \text { e. } \frac{1}{2^{x}} & \text { j. } \log _{\frac{1}{2}} x\end{array} \)

Microtubules

Find the indicated derivative. \[ \begin{array}{c} \frac{d}{d x} \frac{15 x+21}{x} \\ \frac{d}{d x} \frac{15 x+21}{x}= \end{array} \] \( \square \)

\( 27832 \lcm { 4 } \)

You did not hang out the clothes, or you did not leave the room a mess. a. Write the statement in symbolic form. Assign letters to simple statements that are not negated. Choose the correct answer below. A. Let \( p=y o u \) did not hang out the clothes and let \( q= \) you left the room a mess; \( \sim p \wedge \sim q \) B. Let \( p=y o u \) hung out the clothes and let \( q=y o u \) left the room a mess; \( \sim p \wedge \sim q \) C. Let \( p= \) you did not hang out the clothes and let \( q= \) you did not leave the room a mess; \( \sim p \vee \sim q \) D. Let \( p= \) you hung but the clothes and let \( q= \) you left the room a mess; \( \sim p \vee \sim q \)

When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 140 lb and 201 lb . Weights of women are now normally distributed with a mean of 174 lb and a standard deviation of 36 lb. Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 140 lb and 201 lb . The probability is approximately 0.5998 . (Round to four decimal places as needed.) b. If 30 different women are randomly selected, find the probability that their mean weight is between 140 lb and 201 lb . The probability is approximately 1.000 . (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. The part (b) probability is more relevant because the seat performance for a single pilot is more important. B. The part (a) probability is more relevant because the seat performance for a sample of pilots is more important. C. The part (b) probability is more relevant because the seat performance for a sample of pilots is more important. D. The part (a) probability is more relevant because the seat performance for a single pilot is more important.