Answer:
Step-by-step explanation:
y = 3(4x + 1)^1/2 - 2x
dy/dx = 3*1/2(4x + 1)^-1/2 * 4 - 2
= 4 * 1.5 (4x + 1)^-1/2 - 2
= 6(4x + 1)^-1/2 - 2
= [6/√(4x + 1)] - 2
y = 3(4x + 1)^1/2 - 2x
∫3(4x + 1)^1/2 - 2x . dx
= 3 * 1/4 * (4x + 1)^3/2 / 3/2 - x^2 + C
= 3/4 * 2/3 (4x + 1)^3/2 - x^2 + C
= 1/2((4x + 1)^3/2 - 2x^2) + C.
3y + 4 = 11y
(take away 3y from both sides)
4 = 8y
(divide by 8 on both sides)
0.5 = y
y = 0.5
Answer:
24 quarts
Step-by-step explanation:
in one gallon there is 4 quarts so 6*4= 24
Answer: 120 cm^2
Step-by-Step Explanation:
Base (b) = 12 cm
Height (h) = 10 cm
Area (a) = bh
Therefore,
= bh
= b * h
= 12 * 10
=> 120
Area (a) = 120 cm^2
