Answer:
dy/dx = 2x+1/x(x+1)
Step-by-step explanation:
y = In x(x+1)
Let u = x(x+1) = x^2 + x
du/dx = 2x + 1
y = In u
dy/du = 1/u
dy/dx = dy/du × du/dx = 1/u × 2x+1 = 2x+1/u = 2x+1/x(x+1)
Y = m*x + b
6.35 = m*x + b <span>if b=6.35</span>
Solve by Elimination:
6y+5x=8
2.5x+3y=4
Multiply the second equations by 2:
5x+6y=8
we know see that both equations are the same line, this means that there is an infinite amount of solutions to the equation
Set A has a peak at 5. It is also skewed to the right. The center is 5.
Set B also has a peak at 5. Is relatively symmetrical. The center is also 5.
(Sorry about those circle in the back of my picture)
Answer:
f(-3) = -2
f(-2.6) = -2
f(0.6) = 2.4
f(4.5) = 8.5
Step-by-step explanation:
(Whole question:
Evaluate the piecewise function for the given values.
Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)
As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.
So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2
For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2
For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4
For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5
