Answer:
B) 686 cubic units
Step-by-step explanation:
If one cube has a side length of 7, then it equals to 343 cubic units. Since there are 2 cubes, this translates to 686 cubic units.
Answer:
Possible derivation:
d/dx(a x + a y(x) + x a + y(x) a)
Rewrite the expression: a x + a y(x) + x a + y(x) a = 2 a x + 2 a y(x):
= d/dx(2 a x + 2 a y(x))
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + 2 a (d/dx(y(x)))
The derivative of x is 1:
= 2 a (d/dx(y(x))) + 1 2 a
Using the chain rule, d/dx(y(x)) = (dy(u))/(du) (du)/(dx), where u = x and d/(du)(y(u)) = y'(u):
= 2 a + d/dx(x) y'(x) 2 a
The derivative of x is 1:
= 2 a + 1 2 a y'(x)
Simplify the expression:
= 2 a + 2 a y'(x)
Simplify the expression:
Answer: = 2 a
Step-by-step explanation:
the 4th one is a relationship that is a fuction I think
For this case we have a function of the form:
Where,
m: slope of the line
b: cutting point with the y axis.
The line cuts to the y-axis at the point:
Therefore, the value of b is given by:
We now look for the slope of the line.
For this, we use the following equation:
Substituting values we have:
Rewriting:
Then, the equation of the line is:
Answer:
the rule that matches the function shown in the graph is:
