The derivative of a function, found by using the power rule, is a graph with roots (x-intercepts) that are the same as the x-coordinates of the turning points of the said function;
This means that since the graph f(x) in the question shows us that the x-coordinates of the two turning points (A and B) are -2 and 6, we can determine that:
f'(x) = n(x + 2)(x - 6)
because if this was set to 0, the solutions would be x = -2 and x = 6;
The variable n represents the constant that could very well be 1 but we cannot assume so because of the limited information given;
This variable n would not change the solutions, but it will different for two functions that are the same in almost every respect (i.e. they will have the same x-coordinates of their turning points and roots) except that one is more vertically stretched than the other.
In any case, all you need to worry about for this question is drawing a u-shaped curve that crosses the x-axis at -2 and 6;
Don't worry about where it crosses the y-axis or how low it dips, just make all these things moderate as they cannot be deduced from the information given;
Its lowest point will be at x = 2 as the curve should be symmetric so just make sure the bottom of the curve is around that point.
Hope this helps.
Answer:
about 3.78 3.78698225 given those numbers
Step-by-step explanation:
Answer:
I haven't had this problem before.
Step-by-step explanation:
Try restarting your device that you are using. Or make sure you have good internet.
Hope this helps! :)
To start, the question is asking for surface area of a cylinder, meaning you will have to use this formula to find it: A=2πrh+2πr^2.
Since you already know that the diameter of the plastic cylinder is 4 marbles long, and each marble is 2 cm in diameter, you would multiply 4 and 2 to get that your diameter is 8 cm. However, since the surface area of a cylinder formula uses radius, you would simply divide 8 by 2 to get that the radius of the cylinder is 4 cm.
Now, since you already know that the height of the cylinder is equal to 10 marbles, multiply the amount of marbles by 2 to get that the height of the cylinder is 20 cm.
Now that you know the height and the diameter of the cylinder, plug the values into the formula: A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, simplify the equation as according to PEMDAS and you get that the area of plastic needed to make one cylinder is 602.88 cm squared
Seven plus y equals nine plus five
7+y=14
y=7