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Finding f(x) requires integrating the function f'(x), because f(x) is the integral of the given function f'(x). So {integralsymbol} f'(x) dx = {integralsymbol} (3x^2 - 5cos(3x) + 90) dx = x^3 - (5/3)sin(3...

The answer to this question is rather simple. There is a natural pressure/temperature difference between the inside of the house and the outside. The humidity in the warm air is much greater than that of ...

4.28 rounds down to 4; sqrt(99) is approximately 10; 7.83 rounds up to 8

So an appropriate estimate would be:

(4x10)/8 = 40/8 = 5

-13 x + 7 > 2 -13 x > -5 x < 5/13

Remember multiply or divide a number by a negative number, you switch the inequality sign

This question can be solved in two ways. One way is to divide the whole equation, both sides by 3, which gives x-2=7. Then add 2 to both sides to give x=9. Another way is to work out the left hand side of...