Answer:
B
Step-by-step explanation:
Answer:
-81
Step-by-step explanation:
-6(2x² + 5x) - 9
substitute -4 for 'x'
-6[2(-4)² + 5(-4)] - 9
-6[2(16) + (-20) - 9]
-6(32 - 20) - 9
-6(12) - 9
-72 - 9 = -81
The given equations are

(1)

(2)
When t=0, obtain

Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means

.
Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1
y'(0) = 1/2.
Here, y' means

.
Because

, obtain

Answer:
The slope of the curve at t=0 is 1/6.
Answer:
The rental cost for Company A and Company B will be the same after 500 miles
Step-by-step explanation:
The total cost of renting a truck from Company A can be expressed as;
Total rental cost(Company A)=Cost per day+Total rate
where;
Cost per day=70
Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m
replacing;
Total rental cost(Company A)=70+0.5 m...equation 1
2. The total cost of renting a truck from Company B can be expressed as;
Total rental cost(Company B)=Cost per day+Total rate
where;
Cost per day=20
Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m
replacing;
Total rental cost(Company B)=20+0.6 m...equation 2
Equating equation 1 to equation 2
70+0.5 m=20+0.6 m
0.6 m-0.5 m=70-20
0.1 m=50
m=50/0.1
m=500 miles
The rental cost for Company A and Company B will be the same after 500 miles