Answer:-9+2I
Step-by-step explanation: MUTIPLYING THE SECOND BRACKET BY THE NEGATIVE SIGN.
(-3-3I)(-6+5I)
COLLECTING LIKE TERMS
(-3-6)(-3I+5I)
=-9+2I
Answer:
m√n+2n-n√m
Step-by-step explanation:
4√n^2+√m^2n-√4n^2-√mn^2
m√n+2n-n√m
Answer:
The answer is below
Step-by-step explanation:
Let s(t) represent the amount of salt in the tank at time t. Therefore:
ds / dt = (rate of salt flowing into the tank) - (rate of salt going out of the tank)
![\frac{ds}{dt}=[(0.08\ kg/L*6\ L/min)+(0.09\ kg/L*5\ L/min)]-(\frac{s\ kg}{1000\ L}*11\ L/min ) \\\\\frac{ds}{dt}=(0.48\ kg/min+0.45\ kg/min)-(\frac{11s}{1000}\ kg/min )\\\\\frac{ds}{dt}=0.93\ kg/min-\frac{11s}{1000}\ kg/min \\\\\frac{ds}{dt}=\frac{930-11s}{1000}\ kg/min \\\\\frac{ds}{930-11s}=\frac{1}{1000}dt\\\\Integrating:\\\\\int\limits { \frac{ds}{930-11s}} \, ds=\int\limits {\frac{1}{1000}} \, dt\\\\-\frac{1}{11}ln(930-11s)=\frac{t}{1000}+C\\\\multiply\ through\ by\ -11:](https://tex.z-dn.net/?f=%5Cfrac%7Bds%7D%7Bdt%7D%3D%5B%280.08%5C%20kg%2FL%2A6%5C%20L%2Fmin%29%2B%280.09%5C%20kg%2FL%2A5%5C%20L%2Fmin%29%5D-%28%5Cfrac%7Bs%5C%20kg%7D%7B1000%5C%20L%7D%2A11%5C%20L%2Fmin%20%29%20%5C%5C%5C%5C%5Cfrac%7Bds%7D%7Bdt%7D%3D%280.48%5C%20kg%2Fmin%2B0.45%5C%20kg%2Fmin%29-%28%5Cfrac%7B11s%7D%7B1000%7D%5C%20kg%2Fmin%20%29%5C%5C%5C%5C%5Cfrac%7Bds%7D%7Bdt%7D%3D0.93%5C%20kg%2Fmin-%5Cfrac%7B11s%7D%7B1000%7D%5C%20kg%2Fmin%20%5C%5C%5C%5C%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cfrac%7B930-11s%7D%7B1000%7D%5C%20kg%2Fmin%20%5C%5C%5C%5C%5Cfrac%7Bds%7D%7B930-11s%7D%3D%5Cfrac%7B1%7D%7B1000%7Ddt%5C%5C%5C%5CIntegrating%3A%5C%5C%5C%5C%5Cint%5Climits%20%7B%20%5Cfrac%7Bds%7D%7B930-11s%7D%7D%20%5C%2C%20ds%3D%5Cint%5Climits%20%7B%5Cfrac%7B1%7D%7B1000%7D%7D%20%5C%2C%20%20dt%5C%5C%5C%5C-%5Cfrac%7B1%7D%7B11%7Dln%28930-11s%29%3D%5Cfrac%7Bt%7D%7B1000%7D%2BC%5C%5C%5C%5Cmultiply%5C%20through%5C%20by%5C%20-11%3A)
Answer:
The max of this function is 72.
Step-by-step explanation: -b
The x-coordinate of the vertex is given by x = ---------
2(a)
which in this case is x = 2.
The value of -16x^2 + 64x +8 at x = 2 is f(2) = 72.
The max of this function is 72.
