If m ≤ f(x) ≤ m for a ≤ x ≤ b, where m is the absolute minimum and m is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a ≤ m(b − a). use this property to estimate the value of the integral. 2 4 1 x2 dx 0 (smaller value) (larger value)

yes. we do proportions in probabilities.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places