Answer:
Step-by-step explanation:
a. sin^-1(sin theta) = theta
(1/sin)(sin theta) = theta
<em>the sines cross out</em> theta = theta
b. cos(cos^-1x) = x
cos(x/cos) = x
<em>the cosines cross out </em>x = x
Let
The curl is
where denotes the partial derivative operator with respect to . Recall that
and that for any two vectors and , , and .
The cross product reduces to
When you compute the partial derivatives, you'll find that all the components reduce to 0 and
which means is indeed conservative and we can find .
Integrate both sides of
with respect to and
Differentiate both sides with respect to and
Now
and differentiating with respect to gives
for some constant . So
The difference of the expression is
<h3>How to determine the difference?</h3>
The expression is given as:
Factor the denominators of the expressions:
Apply the difference of two squares to x² - 9
Take LCM
Hence, the difference of the expression is
Read more about expressions at:
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Answer:
c) d is greater than or equal to 530
Step-by-step explanation:
Hope this helps!
Answer:
-3 1/2 + ( -6 1/2) = -10
5/8 - {-2/8} = 7/8
- 9/10 - 2/5 = -4
6 3/5 - (-2 1/5) = 44/5
Step-by-step explanation:
-3 1/2 + ( -6 1/2) = <em>-7/2 + (-13/2) = -20/2 =</em><em><u> </u></em><em><u>-10</u></em>
5/8 - {-2/8} = <em>5/8 + 2/8 = </em><u><em>7/8</em></u>
- 9/10 - 2/5 = <em>-18-2/5 = -20/5 = </em><u><em>-4</em></u>
6 3/5 - (-2 1/5) = <em>33/5 + 11/5 = </em><em><u>44/5</u></em>