Answer:
Yes, this graph is absolutely right for the function y =
.
Step-by-step explanation:
firstly we will calculate amplitude, period, phase shift, and vertical shift.
Use the standard form
to calculate the values of amplitude, period, phase shift, vertical shift.
here a = 2
b = 2
c = 0
d = -3
Amplitude = |a| = 2
period =
=
= 
phase shift =
= 0
and vertical shift = d = -3
so, by using this information, if we plot the graph then the graph obtained will be same as the given graph.
Step-by-step explanation:
From the statement:
M: is total to be memorized
A(t): the amount memorized.
The key issue is translate this statement as equation "rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized"
memorizing rate is
.
the amount that is left to be memorized can be expressed as the total minus the amount memorized, that is
.
So we can write

And that would be the differential equation for A(t).
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We are given
A dog runs from point O to B
t(OA)=2.3 s
t(OC)=4.1 s
now, we can find time between A and C
t(AC)=t(OC)-t(OA)
t(AC)=4.1-2.3
t(AC)=1.8 s
we are given
distance between A and C is 4m
so,
d=4m
now, we can find average velocity between A and C

we can plug values


so, option-C..................Answer