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Mathematics 13 Online
zarkam21:

B

zarkam21:

1 attachment
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?

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

zarkam21:

111.47

zarkam21:

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zarkam21:

A

Vocaloid:

hm. not quite. be careful with your signs when calculating arctan(b/a)

zarkam21:

c

Vocaloid:

is arctan(4/3) equal to 4/3?

zarkam21:

yes

Vocaloid:

Vocaloid:

so the theta value cannot be 4/3

zarkam21:

d

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:

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zarkam21:

a and d

zarkam21:

for this

zarkam21:

1 attachment
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

Vocaloid:

good guess but no, for simple harmonic motion you assume constant frequency

zarkam21:

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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

zarkam21:

ok

zarkam21:

a

zarkam21:

i got a

Vocaloid:

(a) would be the cube root of 2 not -2

zarkam21:

b

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

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?

Vocaloid:

yes

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