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
The answer is 34 ft u have to apply pythogoras thereom
Answer:
25 can.
Step-by-step explanation:
Here is the complete question: You are making juice from concentrate. The directions on the packaging say to mix 1 can of juice with 3 cans of water to make orange juice. How many 12 fluid ounces cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
Given: Ratio to make juice with concentrate:water is 1:3.
As required we need to prepare 200 6 ounce serving of Orange juice.
∴
Let there be x ounce of concentrate and 3x ounce of water to make 1200 ounce of orange juice.
Now,
∴ x= 300 ounce
Next, lets find out how many cans of 12 ounce is required.
∴ 25 cans is required to make 1200 ounce of orange juice.
Answer:
{x | x < - 35 / 2}
Step-by-step explanation:
-4x / 7 > 10
Multiply both sides by 7
-4x /7 * 7 > 10 * 7
-4x > 70
Divide both sides by - 4
-4x / - 4 > 70 / - 4
x < - 35 / 2 (inequality sign changes)
Consequently, t<span>he limit of
as x approaches infinity is
.
In other words,
approaches the line y=x,
</span><span>
so oblique asymptote is y=x.
I'm Japanese, if you find some mistakes in my English, please let me know.</span>