Given:
cat carrier : 39.99
cat tower: 19.99
1st discount : 5%
2nd discount: 15% - cat tower
39.99 * 5% = 1.99
39.99 - 1.99 = 38
19.99 * (5% + 15%) = 19.99 * 20% = 3.99
19.99 - 3.99 = 16
38 + 16 = 54
Andrea estimated correctly.
Answer:
What is the period of COSX?
The period of a periodic function is the interval of x-values on which the cycle of the graph that's repeated in both directions lies. Therefore, in the case of the basic cosine function, f(x) = cos(x), the period is 2π.
Step-by-step explanation:
6 3/5 - 2 1/4 = 87/20 = 4 7/20 = 4.35
so 4 7/20 is right
hope this helps
A) 58.38
B) 66.78
You multiply 42 by the decimal. e.g- 42 x .39= 58.38
f'(x) = (4 arctan(7x))'
f'(x) = 4 (arctan(7x))'
By the chain rule,
f'(x) = 4/(1 + (7x)^2) * (7x)'
f'(x) = 28/(1 + 49x^2)
and hence
f'(4) = 28/(1 + 49*16) = 28/785
In case you're not sure about the derivative of arctan: If y = arctan(x), then x = tan(y). Differentiating both sides with respect to x gives
1 = sec^2y y' = (1 + tan^2y) y' = (1 + x^2) y'
==> y' = 1/(1 + x^2)
