VCE Maths questions help (2 Viewers)

[boredsatan]

What's the difference between R and R+?

 

[boredsatan]

bump

 

[boredsatan]

bump

 

[boredsatan]

bump, can someone please answer my questions

 

[boredsatan]

bumppppppp

 

[boredsatan]

bump, is anyone on this forum?

 

[boredsatan]

bump

 

[boredsatan]

Hi, can I please have some help with the below questions?
f(x) =sqrt(x+1), with a restricted domain of [0, infinity), h(x) = x^2+3, with a domain of R, to find the range of the composite function f(h(x)), the domain would be the domain of the inner function, h(x), which is R, but do we also need to take into account the domain of the outer function, f(x), which is [0, infinity)? Please explain reasoning


g(x) = x^2+4x+4,with a restricted domain of (-infinity, -3], to find the range of the composite function, f(g(x)), the domain of f(g(x)) would be the domain of g(x), which is restricted to (-infinity, -3], but do we also need to take into account the domain of f(x), which is restricted to [0, infinity)? Please explain reasoning


Thanks

 

[boredsatan]

bumpppppppp can someone please answer

 

[boredsatan]

y = 18x-6x^3
find the value of x for which y is a maximum and findthe maximum value of y.
i derived the original expression and got 18-18x^2, set it equal to = and got x = -1 and x = 1. How do I know which of these values of x to substitute back into the original expression?

 

[InteGrand]

y = 18x-6x^3
find the value of x for which y is a maximum and findthe maximum value of y.
i derived the original expression and got 18-18x^2, set it equal to = and got x = -1 and x = 1. How do I know which of these values of x to substitute back into the original expression?

 

[boredsatan]

This question is for vce maths methods. The second derivative isn't part of the maths methods course.
Would a gradient sign test work in this instance to find the value of x for maximum and the value of x for minimum?

 

[boredsatan]

This question is for vce maths methods. The second derivative isn't part of the maths methods course.
Would a gradient sign test work in this instance to find the value of x for maximum and the value of x for minimum?

bumppppppp

 

[boredsatan]

bumppppppp

bump, can someone please answer my questions

 

[boredsatan]

bump, can someone please answer my questions

bumppppp

 

[boredsatan]

solve 2pi cos(((2pi x - 2pi))/(3) = 0 for 0<x<3

i'd first have to multiply the domain values by the coefficient of x, which is 2pi/3, and would I then need to subtract 2pi/3 form the domain values?

Thanks