The derivative is the gradient.
At any local Max's or min's the derivative graph will cut the x axis.
For example a graph x^2
The derivative will have a positive gradient as the gradient is increasing at the lower values then at x=0 the gradient is 0 so the derivative graph will pass the point (0,0). Remember that the derivative graph will be linear.
To get more detail find the points the graph crosses the x axis and put into for a(x-q)(x-p)=0 you will have to solve for 'a' by finding a point on the graph and substituting it in. Then you can find the derivative of that function and graph it
Answer:
12 times
Step-by-step explanation:
12x12 is 144 so there for 12 goes into 144 12 times
Only one, if you want to know the measurement of the other side use the cosine law and to know the other angles use the sine law :)
Answer:
Step-by-step explanation:
The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.
<h3>Area of each triangle:</h3>
From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:
<h3>Area of each circular section:</h3>
From the figure, we know that 
and the radius is 
. So, the are would be calculated with this formula:
Replacing all values:
Remember that 
Therefore, 
Now, the total are of the figure is:
Therefore the area of the symmetrical pool is
The formula is principal x ( 1+ interest rate)^ number of years
5%:
20,000 x 1.05^3 = $23152.50 total
Interest = 23152.50-20000= $3,152.50
10%
20000 x 1.10^3 = $26,620.00
Interest = 26620-20000 = $6,620
12%
20000 x 1.12^3 = $28,098.56
Interest = 28098.56-20000 = $8.098.56
