9514 1404 393
Answer:
(2/3)(e^t +1)^(3/2)
Step-by-step explanation:
Use the substitution ...
u = e^t +1
Then du = e^t and you are finding the integral of ...
∫u^(1/2)·du
which you know by the power rule is ...
(2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)
Answer:
f(96) = 85
Step-by-step explanation:
f'(95) gives us the slop of 6, which can be used to estimate the increase
of the next number.
Ex) f(95) = 79 & f'(95) = 6 so
f(96) = 79 + 6 = 85
Answer:
0.0001075
Step-by-step explanation:
The relation between halflife and rate at which it is decaying is given by
now in the above problem halflife is given as 2800 years substituting in the above equation we get the value of rate at which it is decaying to be rate=0.0001075.
Answer:
8/27
Step-by-step explanation:
2 2/3 = 8/3
8/3 divided by 9 =
8/3 x 1/9 =
8/27
Answer: (x,y)---->(4x,4y)
Step-by-step explanation:
1. By definition, dilation is as a transformation in which the figure is enlarged or reduced.
2. For dilation you have:
- A scale factor, that determines how much the figure will be reduced or enlarged.
- The center of dilation, which is defined a a fixed point in the plane.
3. If the figure is dilated with a scale factor of 4 and the center of dilation at the origin, you must multiply each coordinate of the original figure by 4, then. Then, the rule is:
(x,y)---->(4x,4y)
