The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Lets say the base is x and the height is y. The new base would be 1.2x and the new height would be 1.3y
Area of a triangle is base times height divided by 2:
1.2x*1.3y/2 = (1.2*1.3 + x*y)/2 = 1.56xy/2 = 0.78xy = 78% of xy
But a normal area would be 50% of xy
78% - 50% = 38%
ANSWER: 38% increase
N=0 is the answer for this problem
12:00-9:30 = 2:30
12:30+8:30 = 8:30
2:30 + 8:30 = 11:00
11 total hours elapsed
Answer:
a = 249 and b = 1.16
Step-by-step explanation:
Consider the provided information.
The exponential function for growth is:
Here, a is the initial value and r is the rate of change.
It is given that the number of birds is 249.
It means a = 249
The rate is given 16%
r=0.16
Put the value of a and r in the above formula.
Now we will compare it with the exponential function form
Therefore, a = 249 and b = 1.16