The correct structure of the question is as follows:
The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.
Answer:
Step-by-step explanation:
Given that:
f(x) = x^3
Then;
V = x^3
The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V
dV/dx = 3x^2
Now, at the moment when x = 3;
dV/dx = 3(3)^2
dV/dx = 3(9)
dV/dx = 27 cubic inch per inch
Suppose it is at the moment when x = 9
Then;
dV/dx = 3(9)^2
dV/dx = 3(81)
dV/dx = 243 cubic inch per inch
145/5 is 29. Is this good?
The scale factor of the dilation is 2.
Option D is correct.
Step-by-step explanation:
To find the scale factor of dilation, we find ratio of similar sides.
We are given the point (3,5) is moved to (6,10) under dilation.
Scale Factor = 6/3 = 2
or
Scale Factor = 10/5 = 2
The scale factor of the dilation is 2.
Option D is correct.
Keywords: scale factor of the dilation
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Answer: A and B
Explanation: A sum is an answer to an addition problem and a difference is the answer to a subtraction problem. N is the sum to the addition problem and -n is the answer to a subtraction problem.
