No, there is not a product rule for integration.
To integrate (2x - 1)(6x + 5), start expanding the product:
(2x - 1)(6x + 5) = 12x^2 + 10x - 6x - 5 = 12x^2 + 4x - 5.
Now, I guess you know how to integrate that:
∫ (12x^2 + 4x - 5) dx = ∫12x^2 dx + ∫4x dx + ∫ (-5) dx = 4x^3 + 2x^2 - 5x + C
x - boat speed; y - current speed; Path = 336:2 = 168 miles
1) 12 * (x + y) = 168; -> x + y = 14;
2) 14 * (x - y) = 168; -> x - y = 12;
1) x = 14 - y;
2) (14 - y) - y = 12;
14 - 2y = 12;
2y = 2;
y = 1 mph
x = 14 - 1 = 13 mph
Answer:
Boat speed = 13 mph
Current speed = 1 mph
Answer:
D) Health insurers can never discriminate based on genetic information in this way
Answer:
Parte1 :
∡B= 180 - (42 + 83)= 55°
Parte2 :
Using the law of sines :
⇔
⇔ a= 142.95
Parte3 :
Using the same law :
or
⇔ c= 212.04
5x + 2y = 6
3x + y = 4....multiply by -2
-------------
5x + 2y = 6
-6x - 2y = -8 (result of multiplying by -2)
-------------add
-x = -2
x = 2
5x + 2y = 6
5(2) + 2y = 6
10 + 2y = 6
2y = 6 - 10
2y = -4
y = -4/2
y = -2 <=== here it is