# Polina

Most popular questions and responses by Polina
1. ## calculus

Consider the given function and the given interval. f(x) = 10 sin(x) − 5 sin(2x), [0, π] (a) Find the average value fave of f on the given interval. (b) Find c such that fave = f(c). (Round your answers to three decimal places.)

2. ## calculus

In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 52 + 15 sin(πt/12) Find the average temperature Tave during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.)

3. ## Math

factor this trinomial: 12x^2 - 11x + 2

4. ## Micro Econ

Some texts define a "luxury good" as a good for which the income elasticity of demand is greater than 1. Suppose that a consumer purchases only two goods. Can both goods be luxury goods? Explain

5. ## calculus

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) (11)/(x^3-125) dx

6. ## Chemistry

26.5 kJ of heat is added to 5.44 g of ice at 0 C. What phase(s) are present and what is the temperature of the system after all the heat is absorbed?

7. ## Math

How much in 6.5cups = to fl oz ?