In order to find any of the info we need we have to find the first derivative of the equation. If

, then

. We are told to find the slope at point (1, 7). Using that x value in our derivative will give us the slope of the line at that point. y' = -(1)^2+8. So y' = 7. That's the slope of the line. Now we will use that slope along with the x and y coordinate in the slope-intercept form of a line to solve for b. 7 = 7(1) + b so b = 0. Our equation then is y = 7x. If you graph these in the same window on your calculator, you can see how perfectly that align at the given point. It's really quite perfect.
Lateral surface area of a cylinder: 2πrh, r is the radius, h is the height.
area of the top and bottom circle: πr²
when h=2r, the total surface area is:
2πr(2r)+πr²+πr²=6πr²
the answer is 6πr²
Answer:
Step-by-step explanation:
Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
No
5x + 2 ≠ 5x + 5
because
2 ≠ 5
If they each used the same number of tiles, how many tiles were in each box?
6x + 2 = 5x + 17
6x - 5x + 2 - 2 = 5x - 5x + 17 - 2
x = 15 tiles
Answer:
A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd
Step-by-step explanation: