Six trig functions help!

Mathematics

1 answer:

tatiyna2 years ago

5 0

-720+2(360)=0

sin 0=0

cos 0=1

tan 0=0

csc 0=1/0

sec 0=1

cot 0=1/0

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4 0

2 years ago

The library has DVDs on crime, adventure and science fiction.

kozerog [31]

Answer:

The library has 1,056 crime DVDs.

Step-by-step explanatiion:

Crime : Adventure : Science

11x : 6x : 10x

6x+384=10x

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6 0

2 years ago

What is the domain and derivative of f(x)=ln(2xsqrt(2+x))?

harkovskaia [24]

Domain is the numbers yo can use
we has a sqrt and a ln
we cant have any neagtive ln's or sqrts
x cannot be negative
it cannot be 0 either
domain is all numbers bigger than 0

deritivive
apply chain rule
dy/dx(f(g(x))=f'(g(x))g'(x)
and also
dy/dx (lnx)=1/x
and
dy/dx(f(x)g(x))=f'(x)g(x)+g'(x)f(x)
and from experience
dy/dx(sqrtx)=1/(2√x)

so

dy/dx(ln(2xsqrt(2+x)))=
(1/(2xsqrt(2+x))(2)(sqrt(2+x)+(x/(2sqrt(2+x))=
(3x+4)/(2x(x+2))

domain is all real numbers greater than 0
derivitive is $\frac{3x+4}{2x(x+2)}$