Rashad filled the bottom layer of a toy box with 15 wooden blocks he stacked 2 more wooden blocks on top of the bottom layer wha
2 answers:
Answer:
Step-by-step explanation:
The volume is define as:
In words, it's the product of the area of the base of the figure, and the height.
In this problem, each toy box is a unit cube in size, that is, .
So, one easier way to solve this, it's by counting the total number of blocks. In the base, there are 15 blocks, which are 15 cubic units. Then, Rashad places 2 more blocks on top of each block in the base, that is, 2 times 16, which is 30. So, in total, there are 30+15=45 blocks that forms the figure, if each block is 1 cubic unit, then the volume is
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Hi there!
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.