Answer:
dA/dt = 31 in²/ sec
Step-by-step explanation:
The area of the triangle is:
A(t) = (1/2)*b*h where b is the base and h the height
Differentiation on both sides of the equation we obtain
dA/dt = (1/2)* db/dt * h + (1/2)* dh/dt * b (1)
db/dt = 3 in/sec
dh/dt = 2 n/sec
b = 10 in
h = 14 in
By substitution in (1)
dA/dt = 0,5* 3*14 + 0,5* 2*10
dA/dt = 21 in² /sec + 10 in²/sc
dA/dt = 31 in²/ sec
1. It is extracted from the ground.
2. It took years to form.
Answer:
3/2 x^2 y z^5
Step-by-step explanation:
24x^5y^2z^10 / 16x^3y z^5
split into pieces
24/16 * x^5/x^3 y^2/y z^10/z^5
when dividing exponents with the same bases, we subtract the exponents
3/2 x^(5-3) y^(2-1) z^(10-5)
3/2 x^2 y^1 z^5
The slope is 1.
The y-axis or the y-intercept is (0, 5)
6 hours because
double- 3 hours
triple- 6 hours