Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
Answer:
Yukio will pay $2 per ounce for the confetti
Step-by-step explanation:
Divide 12 and 16 that equals 0.75 then multiply 0.75 by 2 four times. and you get 2
Answer:
1. 7x
2. 8x - 1
3. 6x + 12
4. 3x + 4
5. 13x - 7
Step-by-Step Explanation:
Hope this helps!
$15 + $32.50 + 8% = $51.30
15 + 32.50 = 47.50
8% × 47.50 = 3.80
47.50 + 3.80 = 51.30