Questions asked
Linda Hand
Numerade educator
For the following exercises, consider points $P(-1,3)$ $Q(1,5),$ and $R(-3,7) .$ Determine the requested vectors and express each of them a. in component form and b. by using the standard unit vectors. $$ \overrightarrow{P Q}+\overrightarrow{P R} $$
C D
Angela took a general aptitude test and scored in the 82nd percentile for aptitude in accounting. What percentage of the scores were at or below her score? What percentage were above?
Umar Sohail Qureshi
Use the following graph to answer the questions. In each case, briefly explain your answer. a. True or false: The movement from point $A$ to point $B$ shows the effects of technological change. b. True or false: The economy can move from point $B$ to point Conly if there are no diminishing returns to capital. c. True or false: To move from point $A$ to point $C,$ the economy must increase the amount of capital per hour worked and experience technological change.
Darshan Maheshwari
In the following exercises, determine which of the following numbers are a counting numbers b whole numbers. $$0, \frac{2}{3}, 5,8.1,125$$
The table shows the margin of error in degrees for tennis serves hit at 100 mph with various amounts of topspin (in units of revolutions per second). Estimate the slope of the derivative at $x=60,$ and interpret it in terms of the benefit of extra spin. (Data adapted from The Physics and Technology of Tennis by Brody, Cross and Lindsey.) $$\begin{array}{|l|l|l|l|l|l|} \hline \text { Topspin (rps) } & 20 & 40 & 60 & 80 & 100 \\ \hline \text { Margin of error } & 1.8 & 2.4 & 3.1 & 3.9 & 4.6 \\ \hline \end{array}$$
Zachary You
Approximate the percent increase in waist size that occurs when a 155 -lb person gains 40.0 lb of fat. Assume that the volume of the person can be modeled by a cylinder that is 4.0 ft tall. The average density of a human is about $1.0 \mathrm{g} / \mathrm{cm}^{3},$ and the density of fat is 0.918 $\mathrm{g} / \mathrm{cm}^{3} .$
Cyra Jelle Calleja
$\bullet$ $\bullet$ A slingshot obeying Hooke's law is used to launch pebbles vertically into the air. You observe that if you pull a pebble back 20.0 $\mathrm{cm}$ against the elastic band, the pebble goes 6.0 $\mathrm{m}$ high. (a) Assuming that air drag is negligible, how high will the peb- ble go if you pull it back 40.0 $\mathrm{cm}$ instead? (b) How far must you pull it back so it will reach 12.0 $\mathrm{m}$ (c) If you pull a pebble that is twice as heavy back $20.0 \mathrm{cm},$ how high will it go?
Evaluate using Theorem 2 as necessary. $$ \lim _{t \rightarrow 0} \frac{\cos t-\cos ^{2} t}{t} $$
Christopher Dzorkpata
At what angle should the axes of two Polaroids be placed so as to reduce the intensity of the incident unpolarized light by an additional factor (after the first Polaroid cuts it in half) of ($a$) 4, ($b$) 10, ($c$) 100?
Eduard Sanchez
(I) The $asteroid$ Icarus, though only a few hundred meters across, orbits the Sun like the planets. Its period is 410 d. What is its mean distance from the Sun?