The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so
It changes it into negative
Answer:
56.4 miles
Step-by-step explanation:
4228/75 = 56.37333333
Answer:
£231.85
Step-by-step explanation:
→ Work out the decimal multiplier
( 3 + 100 ) ÷ 100 = 1.03
→ Multiply the initial investment by the multiplier raised to the power of years
200 × ( 1.03 )⁵ = £231.85
Answer:
54 stitches
Step-by-step explanation:
Dodd's knitting is (12 stitches)/(2 inches) = 6 stitches per inch. Then in a width of 9 inches, there will be ...
(9 inches)(6 stitches/inch) = 54 stitches