The angular velocity of an object is given by the following equation: ω(t)=(5rads3)t2\omega\left(t\right) =\left(5\frac{rad}{s^3}\right)t^2ω( t)=(5s3rad​)t2 What is the angular displacement of the object (in rad) between t = 2 s and t = 4 s?

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect