(a) Differentiate each of the components to get r'(t). The rule is
.. d/dt (a*e^(bt)) = a*b*e^(bt)
The answer you have shown is the correct one.
(b) See the figure. The red curve is the position r(t) for 0 ≤ t ≤ 2. The dashed orange line is the tangent line, whose equation is
.. L(t) = r(0) +r'(0)*t = (2 +2t)i +(3 -3t)j
The answer to the question
A set is simply the group of numbers.
- <em>The set of M and N are: </em>
<em> and </em>
<em>.</em> - <em>The set of M n N is: </em>
<em>.</em> - <em>The set of M u N is: </em>
<em />
<u>(a) The set of M and N</u>
Given that:
M = squares of integers less than 100
N = Positive odd numbers less than 15
So, we have:
<u>(b) M n N and M u N</u>
M n N is the set of common elements between sets M and N.
So, we have:
M u N is the set of all elements in sets M and N.
So, we have:
Read more about sets at:
brainly.com/question/2332158
Answer:
D x is all real numbers
R y ≥ -3
Step-by-step explanation:
The domain is the values that x can take
The domain is all real numbers
The range is the values that y can take
The range is y is greater than or equal to -3
The value of the tangent of an angle is the ratio (opposite side) / (adjacent side).
Here you see that the opposite side (opposite to Angle B) is of length 5 and the adj. side has length 12.
Thus, the tan of Angle B is 5/12. (answer)
