(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
230/1 times 12 1/2 on a fraction calculator should give you the answer :)
The statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.
<h3>How to find the statement that is true about the functions a(x) = b(x) at x = 2?</h3>
If we have two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = a, this implies that the values of the functions a(x) and b(x) are equal at x = a.
- Given that the two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = 2.
Then the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.
So, the statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.
Learn more about functions here:
brainly.com/question/10439235
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Yes your answer is correct