$({y}^{3}{)}^{x}=$

Cristofer Graves
2022-08-01
Answered

$({y}^{3}{)}^{x}=$

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gardapati5u

Answered 2022-08-02
Author has **9** answers

$({y}^{3}{)}^{x}={y}^{3x}\phantom{\rule{0ex}{0ex}}=(y{)}^{3x}$

asked 2022-02-06

How do you solve for x?

${\mathrm{log}}_{2}\left({2}^{x+3}\right)=15?$

asked 2022-02-04

How do you simplify $15d-9+2d$ ?

asked 2022-04-12

How do you solve ${x}^{\mathrm{log}x}=100x$?

Can you please thoroughly explain the left side of the equation.

Please explain very clearly because I have only been learning logarithms for about a week.

Can you please thoroughly explain the left side of the equation.

Please explain very clearly because I have only been learning logarithms for about a week.

asked 2022-08-06

A function f defined for -a < x < a is even if f(-x) = f(x) and is odd if f(-x) = -f(x) when -a < x < a. In this task we assume f is defined on such an interval, which might be the full real line (i.e. a = infinity).

a. Show that f(x) = x^2 is even and g(x) = x^3 is odd.

b. Write f(x) = 3x^3 +2x^2 - 5x +7 as a sum f(x) = e(x) + o(x), where e is even and o is odd.

c. Do the same for the function f(x) = 1/(1-x) on the domain -1 < x < 1. [Hint : multiply the numerator and denominator by 1+x].

d. Parts (b) and (c) suggest that it might always be possible to write f(x) = e(x) + o(x) where e is even and o is odd. Suppose that this is so, and use the definition of even and odd to write an equation expressing f(-x) in terms of e(x) and o(x).

e. You now have two equations: f(x) = e(x) + o(x) and the other one you obtained in part (d). Solve this system of equations for e(x) and o(x), and show that the resulting e(x) is even and the resulting o(x) is odd.

f. Based on your work in part (e), is it true or is it false that every function defined on the interval -a < x < a can be expressed as a sum of an even function and an odd function? Why?

a. Show that f(x) = x^2 is even and g(x) = x^3 is odd.

b. Write f(x) = 3x^3 +2x^2 - 5x +7 as a sum f(x) = e(x) + o(x), where e is even and o is odd.

c. Do the same for the function f(x) = 1/(1-x) on the domain -1 < x < 1. [Hint : multiply the numerator and denominator by 1+x].

d. Parts (b) and (c) suggest that it might always be possible to write f(x) = e(x) + o(x) where e is even and o is odd. Suppose that this is so, and use the definition of even and odd to write an equation expressing f(-x) in terms of e(x) and o(x).

e. You now have two equations: f(x) = e(x) + o(x) and the other one you obtained in part (d). Solve this system of equations for e(x) and o(x), and show that the resulting e(x) is even and the resulting o(x) is odd.

f. Based on your work in part (e), is it true or is it false that every function defined on the interval -a < x < a can be expressed as a sum of an even function and an odd function? Why?

asked 2020-11-01

To add:
$0.00236+100.45+48.29$

asked 2021-12-16

A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s.

a) What is the mass of the block of ice?

b) If the worker stops pushing at the end of 5.00 s, how far does the block move in the next 5.00 s?

a) What is the mass of the block of ice?

b) If the worker stops pushing at the end of 5.00 s, how far does the block move in the next 5.00 s?

asked 2021-09-23

A piston–cylinder device initially contains $0.07{m}^{3}$ of nitrogen gas at 130 kPa and $180}^{\circ$ . The nitrogen is now expanded to a pressure of 80 kPa polytropically with a polytropic exponent whose value is equal to the specific heat ratio (called isentropic expansion). Determine the final temperature and the boundary work done during this process.