Mathematics
13 Online
zarkam21:
B
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zarkam21:
zarkam21:
@Vocaloid
Vocaloid:
is the angle between a and b a 90 degree angle?
zarkam21:
yes
Vocaloid:
alright, then what do you think the value of angle x might be?
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zarkam21:
55
zarkam21:
D
Vocaloid:
hm
I got a little something diff. w/ law of sines
20/sin(90) = a/sin(35)
a = ?
zarkam21:
c
Vocaloid:
good
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zarkam21:
111.47
zarkam21:
zarkam21:
A
Vocaloid:
hm. not quite. be careful with your signs when calculating arctan(b/a)
zarkam21:
c
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Vocaloid:
is arctan(4/3) equal to 4/3?
zarkam21:
yes
Vocaloid:
Vocaloid:
so the theta value cannot be 4/3
zarkam21:
d
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zarkam21:
no b
Vocaloid:
you must also consider the r-value
it cannot be D because sqrt(1+(-1)^2) = sqrt(2) which is positive
so B is the only sol'n
zarkam21:
zarkam21:
a and d
zarkam21:
for this
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zarkam21:
Vocaloid:
the proof is kind of complex but B is also true, you need to re-write tan in terms of sin and cos, then combine the two fractions
so ABD
zarkam21:
If the movement of a mass on a spring may be modeled with simple harmonic motion then its frequency decreases with time
zarkam21:
True or false
zarkam21:
True?7
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Vocaloid:
good guess but no, for simple harmonic motion you assume constant frequency
zarkam21:
zarkam21:
c
zarkam21:
i think
Vocaloid:
i don't really know how to solve this manually but you could just plug each choice into a calculator and see which one equals (-2)^1/3
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zarkam21:
ok
zarkam21:
a
zarkam21:
i got a
Vocaloid:
(a) would be the cube root of 2 not -2
zarkam21:
b
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zarkam21:
ugh
zarkam21:
d
Vocaloid:
B is correct
zarkam21:
Let fx = cos^-1 x. Then the domain of fx is (-1,1) and the range is all real numbers. True or false
zarkam21:
True
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Vocaloid:
|dw:1528399297776:dw|
zarkam21:
So false
Vocaloid:
notice how only certain #'s are covered in the range
so false
zarkam21:
Let fx=tan^-1x .then the domain of fx is all real numbers and the range is (-pi/2 , pi/2)
zarkam21:
True or false
True?
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Vocaloid:
yes