a) graph P = f(t) where t is time inminutes. label axes.

b) find a possible formulatfor P= f(t)

c) by graphing P = f(t) for 0 (isless than or equal to) t ( less than or equal to) 2, estimate whenthe pressure first equals $115lbs/f{t}^{2}$

Elianna Lawrence
2022-07-31
Answered

The pressure, $P,(inlbs/f{t}^{2})$ in a pipe varies over time. Five thimes anhour, the pressure oscillates from a low of 90 to a high of230 and then back down to 90. The pressure at t = 0 is 90.

a) graph P = f(t) where t is time inminutes. label axes.

b) find a possible formulatfor P= f(t)

c) by graphing P = f(t) for 0 (isless than or equal to) t ( less than or equal to) 2, estimate whenthe pressure first equals $115lbs/f{t}^{2}$

a) graph P = f(t) where t is time inminutes. label axes.

b) find a possible formulatfor P= f(t)

c) by graphing P = f(t) for 0 (isless than or equal to) t ( less than or equal to) 2, estimate whenthe pressure first equals $115lbs/f{t}^{2}$

You can still ask an expert for help

gardapati5u

Answered 2022-08-01
Author has **9** answers

Firstly, You should use a sin graph because of the oscillations.The function should be in the form $f(t)=a\mathrm{cos}((2\pi /b)t)+C$

Since your graph is increasing it must be -a because normally a cosgraph is at its max at 0 and not its min.

a is the amplitude ( this is the difference between the max and themin divided by 2)

b is the frequency( the number of times the graph repeats itselfwithin $2\pi $) $=10\pi $

$2\pi /b$ equals the frequency (that is the cycle in which the graphrepeats itself)(since you said 5 times at t = 1, the period is.2)

c is the vertical shift. (in this case it would be 90 sincenormally it would be 0 but the graph has been shifted 90 up) t is the time

$f(t)=-70\mathrm{cos}(.2t)+90$

Since your graph is increasing it must be -a because normally a cosgraph is at its max at 0 and not its min.

a is the amplitude ( this is the difference between the max and themin divided by 2)

b is the frequency( the number of times the graph repeats itselfwithin $2\pi $) $=10\pi $

$2\pi /b$ equals the frequency (that is the cycle in which the graphrepeats itself)(since you said 5 times at t = 1, the period is.2)

c is the vertical shift. (in this case it would be 90 sincenormally it would be 0 but the graph has been shifted 90 up) t is the time

$f(t)=-70\mathrm{cos}(.2t)+90$

asked 2021-06-11

Find the linear approximation of the function

asked 2021-09-07

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

a)

b)

c)

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 2021-12-13

Solve absolute value inequality.

$|x+3|\ge 4$

asked 2020-12-17

In right triangle RST, the two acute angles are

asked 2022-04-01

Roots of a quadratic equation.

Given:$a{\left(f\left(x\right)\right)}^{2}+bf\left(x\right)+c=0.$

Given:

asked 2022-05-15

Looking for any complex number solutions to the system of equations:

$\begin{array}{rl}|a{|}^{2}+|b{|}^{2}+|c{|}^{2}& =\frac{1}{3}\\ \overline{a}b+a\overline{c}+\overline{b}c& =\frac{1}{6}(2+\sqrt{3}i).\end{array}$

$\begin{array}{rl}|a{|}^{2}+|b{|}^{2}+|c{|}^{2}& =\frac{1}{3}\\ \overline{a}b+a\overline{c}+\overline{b}c& =\frac{1}{6}(2+\sqrt{3}i).\end{array}$