hionormf
2021-12-18
Answered

A variable star is one whose brightness alternately increases and decreases. For the most visible variable star, Delta Cephei, the time between periods of maximum brightness is 5.4 days, the average brightness (or magnitude) of the star is 4.0, and its brightness varies by $\pm 0.35$ magnitude. Find a function that models the brightness of Delta Cephei as a function of time.

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asked 2021-09-10

A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attend ance had been 27,000.When ticket prices were lowered to 8, the average attendance rose to 33,000. How should ticket prices be set to maximize revenue?

asked 2021-09-07

Determine whether each of these functions is a bijection from R to R.

a)

b)

c)

asked 2021-06-11

Find the linear approximation of the function

asked 2021-09-17

The joint density function of X and Y is given by

$f(x,y)=x{e}^{-x(y+1)}x>0,y>0$

Find the conditional density of Z, given Y=y, and that of Y, given X=x.

Find the conditional density of Z, given Y=y, and that of Y, given X=x.

asked 2021-12-02

Use the linear approximation ${(1+x)}^{k}\approx 1+kx$ to find an approximation for the function f(x) for values of x near zero.

$f\left(x\right)={(1-x)}^{6}$

asked 2021-12-09

Find the indicated difference quotient and simplify your answer.

$f\left(x\right)={x}^{3}+3x\text{}\frac{f(x+h)-f\left(x\right)}{h}$ , h does not equal 0

$f\left(x\right)=\frac{1}{{x}^{2}},\text{}\frac{g\left(x\right)-g\left(3\right)}{x-3}$ , x does not equal 3.

$f\left(t\right)=\frac{1}{t-2},\text{}\frac{f\left(t\right)-f\left(1\right)}{t-1}$ , t does not equal 1.

asked 2022-03-30

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

*f*(*x*, *y*) = 3 − 2*x* + 4*y* − *x*2 − 4*y*2

local maximum value(s) | |||

local minimum value(s) | |||

saddle point(s) | (x, y, f) |