Q1) Without use of Calculator
The temperature at the bottom of a mountain was 8°C.
The temperature at the top was -26°C.
Find (a) the difference between the two temperatures,
(b) the mean of the two temperatures.

The difference in temperature is 34 degree Celsius while the mean is -17 degree Celsius.

Explanation:

The temperature at the bottom of the mountain is 8 degrees in the positive while the temperature at the top of the mountain is in the negative at -26 degrees.

In the positive and negative scale the way to add and subtract is to simply put the negative number in the bracket and follow the established rules of arithmetic.

Thus to find the difference we see:

8 - (-26)

which is 8 +26 = 34.

The mean of the two numbers is found by simply dividing the resulting difference by 2 and retaining the sign of the numerically bigger number which is -26 so the sign is retained

the mean is -17 degree Celsius.

1. read the following excerpt from franklin d. roosevelt's "fireside chat 19":

on the other side of the picture, we must learn also to know that guerilla warfare against the germans in, let us say serbia or norway, us; that a successful russian offensive against the germans us; and that british successes on land or sea in any part of the world strengthen our hands.

remember always that germany and italy, regardless of any formal declaration of war, consider themselves at war with the united states at this moment just as much as they consider themselves at war with britain or russia. and germany puts all the other republics of the americas into the same category of enemies. the people of our sister republics of this hemisphere can be honored by that fact.  

the true goal we seek is far above and beyond the ugly field of battle. when we resort to force, as now we must, we are determined that this force shall be directed toward ultimate good as well as against immediate evil. we americans are not destroyers — we are builders.

analyze the effectiveness of this excerpt. how does it function within the speech as a whole? how does the structure of the excerpt to convey the speech's purpose and key points? support your argument with evidence from the speech. (10 points)

vector v such that t( p) = p+ v