The equation of the tangent line of f(x) is given by y = f'(x)x + c
f(x) = 2sin x
f'(x) = 2cos x
At x = pi/3
f'(pi/3) = 2 cos(pi/3) = 1
f(pi/3) = 2 sin(pi/3) = √3
√3 = 1(π/3) + c
c = √3 - π/3
Therefore, required equation is
y = x + √3 - π/3
Answer:
$4.03
Step-by-step explanation:
because 15% of 3.50 is 0.525
take 0.525 and round it up (0.53)
3.50 + 0.53 = $4.03
Answer: 20
Step-by-step explanation:
40/2 = 20
140/7 = 20
also if you look at the middle of 0 and 2 and go up to where the line is, its between 40 and 0 so its 20.
Answer:
- A. 7·6 + 7·3
- B. 7·3 + 7·6
- C. 7·9
Step-by-step explanation:
The distributive property and the commutative property of addition both apply here.
Distributive property: a(b+c) = ab +ac
For a=7, b=6, c=3, this becomes ...
7(6+3) = 7·6 +7·3 . . . . . matches A
The commutative property of addition says ...
a + b = b + a
For a=7·6 and b=7·3, this becomes ...
7·6 + 7·3 = 7·3 + 7·6 . . . . . matches B
Of course, the expression can be partially evaluated:
7(6 +3) = 7·9 . . . . . matches C