<span> a) F' = 6 sin(x^2) = 0
x^2 = pi
x = sqrt(pi)
b) Fmax = F(1) + integral [1, pi] f(x) dx = 9.7743 </span>
Answer:
Yes, you can find the cube root of a negative number. The answer will be negative!
Step-by-step explanation:
Example: Find the cube root of -27
We know that a cube root is a number multiplied by itself 3 times (NOT MEANING THE NUMBER TIMES 3)
For example, The cube root of 27 positive is 3 because 3 x 3 x 3 = 27
But if we are using a negative number: It is really different because we got to know the rules.
The setup: -3 x -3 x -3 = -27
If we started with -3 x -3 first we know that a negative times a negative equals positive so the answer will be 9 positive, then we have this equation left:
9 x -3 = -27
The rule with this is a number times a negative is negative, so the answer of the question "Find the cube root of -27 is -3"
Answer:
6
Step by step explanation:
2 + 2 * x = 10
2x+2=10
2x+2−2=10−2
Therefore, x = 6
You have to use a proportion.
3.5/18= 1.5/x
3.5x=27
x= 7.7 cm
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.