Answer:
The length of AD is 6.
Step-by-step explanation:
Solve.
Now plug in:
^Therefore, your result^
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use 
in [1] we have;
Multiply both sides by 3 we have;
⇒
Divide both sides by 78.5 we have;
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
Answer:
28 tablespoons of sugar
6 tablespoons of cocoa powder
Step-by-step explanation:
Malik is using a cookbook to make a recipe, but he can not find his measuring cups! He has, however, found a tablespoon. Inside the back cover of the cookbook, it says that 1 cup = 16 tablespoons.
Explain how he could use the tablespoon to measure out the following ingredients:
2 cups of flour
½ cup sunflower seeds
1¼ cup of oatmeal
Malik also adds the following ingredients. How many cups of each did he add?
28 tablespoons of sugar
6 tablespoons of cocoa powder
Use of the following representations is optional:
Tablespoons 16
Cups 1
Answer:
At 6 p.m., the number of cars in a parking lot is 120
Step-by-step explanation:
At 1 p.m., the number of cars in a parking lot is 78.
Given,
Note that
So, 1 p.m. goes for n = 0, then
6 p.m. goes for n = 5
Thus,
