Answer: the maximum is 25.
Step-by-step explanation: a max/min can occur on the endpoints of a function and critical points of the function's derivative.
f(x)=x^4-x^2+13
f'(x)=4x^3-2x
The critical points of f'(x) occur when f'(x) is zero or undefined. f'(x) is not ever undefined in this case, so we just need to find the x values for when it's zero.
0=4x^3-2x
x=.707, -.707
Now that we have the critical points of f'(x) (.707 and -.707) and endpoints (-1 and 2), we can plug in these x values into the original function to determine its maximum. When you do this you'll find that the greatest y value produced occurs when x=2 and results in a max of 25.
You would use PEMDAS. So there are no P (parenthesis) so we move onto E (exponents). Since there are none of that we move onto M (multiplication) which is shown with (3 x 4). So that would be our first operation.
To find all the positive integers less than 2018 that are divisible by 3, 11, and 61, you will use what you know about factors.
3, 11, and 61 are all answers. So are 33, 183, 671, and 2013.
If you put these in factors, the product will be divisible by them!
3 x 11 = 33
3 x 61 = 183
11 x 61 = 671
3 x 11 x 61 = 2013
Take each number and square it, cube it, etc...
9, 27, 81, 243, 729
121, 1331
9 x 11 = 99
27 x 11 = 297
81 x 11 = 891
121 x 9 =1089
121 x 3 = 363
61 x 9 = 549
61 x 27 = 1647
Everything in bold is a correct answer.
Answer:
<h3>D. P = 15 and Q = 15</h3>
Step-by-step explanation:
Put the values of P and Q to the equation Px - 45 = Qx + 75:
15x - 45 = 15x + 75 <em>subtract 15x from both sides</em>
-45 = 75 FALSE
In other cases, we get some value x.
Example:
A. P = -45 and Q = -75
-45x - 45 = -75x + 75 <em>add 45 to both sides</em>
-45x = -75x + 120 <em>add 75x to both sides</em>
25x = 120 <em>divide both sides by 25</em>
x = 4.8
Answer:
Step-by-step explanation:
d = 17 cm
r = 17/2 = 8.5 cm
Circumference of circle = πd
= 3.14 * 17
= 53.38 cm
Area of circle = πr²
= 3.14 * 8.5 * 8.5
= 226.865 cm²
